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     10 //                        Intel License Agreement
     11 //                For Open Source Computer Vision Library
     12 //
     13 // Copyright (C) 2000, Intel Corporation, all rights reserved.
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     40 //M*/
     41 
     42 /* Reconstruction of contour skeleton */
     43 #include "_cvaux.h"
     44 #include <time.h>
     45 
     46 #define NEXT_SEQ(seq,seq_first) ((seq) == (seq_first) ? seq->v_next : seq->h_next)
     47 #define SIGN(x) ( x<0 ? -1:( x>0 ? 1:0 ) )
     48 
     49 const float LEE_CONST_ZERO = 1e-6f;
     50 const float LEE_CONST_DIFF_POINTS = 1e-2f;
     51 const float LEE_CONST_ACCEPTABLE_ERROR = 1e-4f;
     52 
     53 /****************************************************************************************\
     54 *                                    Auxiliary struct definitions                                 *
     55 \****************************************************************************************/
     56 
     57 template<class T>
     58 struct CvLeePoint
     59 {
     60     T x,y;
     61 };
     62 
     63 typedef CvLeePoint<float> CvPointFloat;
     64 typedef CvLeePoint<float> CvDirection;
     65 
     66 struct CvVoronoiSiteInt;
     67 struct CvVoronoiEdgeInt;
     68 struct CvVoronoiNodeInt;
     69 struct CvVoronoiParabolaInt;
     70 struct CvVoronoiChainInt;
     71 struct CvVoronoiHoleInt;
     72 
     73 struct CvVoronoiDiagramInt
     74 {
     75     CvSeq* SiteSeq;
     76     CvSeq* EdgeSeq;
     77     CvSeq* NodeSeq;
     78     CvSeq* ChainSeq;
     79     CvSeq* ParabolaSeq;
     80     CvSeq* DirectionSeq;
     81     CvSeq* HoleSeq;
     82     CvVoronoiSiteInt* reflex_site;
     83     CvVoronoiHoleInt* top_hole;
     84 };
     85 
     86 struct CvVoronoiStorageInt
     87 {
     88     CvMemStorage* SiteStorage;
     89     CvMemStorage* EdgeStorage;
     90     CvMemStorage* NodeStorage;
     91     CvMemStorage* ChainStorage;
     92     CvMemStorage* ParabolaStorage;
     93     CvMemStorage* DirectionStorage;
     94     CvMemStorage* HoleStorage;
     95 };
     96 
     97 struct CvVoronoiNodeInt
     98 {
     99     CvPointFloat  node;
    100     float         radius;
    101 };
    102 
    103 struct CvVoronoiSiteInt
    104 {
    105     CvVoronoiNodeInt* node1;
    106     CvVoronoiNodeInt* node2;
    107     CvVoronoiEdgeInt* edge1;
    108     CvVoronoiEdgeInt* edge2;
    109     CvVoronoiSiteInt* next_site;
    110     CvVoronoiSiteInt* prev_site;
    111     CvDirection* direction;
    112 };
    113 
    114 struct CvVoronoiEdgeInt
    115 {
    116     CvVoronoiNodeInt* node1;
    117     CvVoronoiNodeInt* node2;
    118     CvVoronoiSiteInt* site;
    119     CvVoronoiEdgeInt* next_edge;
    120     CvVoronoiEdgeInt* prev_edge;
    121     CvVoronoiEdgeInt* twin_edge;
    122     CvVoronoiParabolaInt* parabola;
    123     CvDirection*  direction;
    124 };
    125 
    126 struct CvVoronoiParabolaInt
    127 {
    128     float map[6];
    129     float a;
    130     CvVoronoiNodeInt* focus;
    131     CvVoronoiSiteInt* directrice;
    132 };
    133 
    134 struct CvVoronoiChainInt
    135 {
    136     CvVoronoiSiteInt * first_site;
    137     CvVoronoiSiteInt * last_site;
    138     CvVoronoiChainInt* next_chain;
    139 };
    140 
    141 struct CvVoronoiHoleInt
    142 {
    143     CvSeq* SiteSeq;
    144     CvSeq* ChainSeq;
    145     CvVoronoiSiteInt* site_top;
    146     CvVoronoiSiteInt* site_nearest;
    147     CvVoronoiSiteInt* site_opposite;
    148     CvVoronoiNodeInt* node;
    149     CvVoronoiHoleInt* next_hole;
    150     bool error;
    151     float x_coord;
    152 };
    153 
    154 typedef CvVoronoiSiteInt* pCvVoronoiSite;
    155 typedef CvVoronoiEdgeInt* pCvVoronoiEdge;
    156 typedef CvVoronoiNodeInt* pCvVoronoiNode;
    157 typedef CvVoronoiParabolaInt* pCvVoronoiParabola;
    158 typedef CvVoronoiChainInt* pCvVoronoiChain;
    159 typedef CvVoronoiHoleInt* pCvVoronoiHole;
    160 typedef CvPointFloat* pCvPointFloat;
    161 typedef CvDirection* pCvDirection;
    162 
    163 /****************************************************************************************\
    164 *                                    Function definitions                                *
    165 \****************************************************************************************/
    166 
    167 /*F///////////////////////////////////////////////////////////////////////////////////////
    168 //    Author:  Andrey Sobolev
    169 //    Name:    _cvLee
    170 //    Purpose: Compute Voronoi Diagram for one given polygon with holes
    171 //    Context:
    172 //    Parameters:
    173 //      ContourSeq : in, vertices of polygon.
    174 //      VoronoiDiagramInt : in&out, pointer to struct, which contains the
    175 //                       description of Voronoi Diagram.
    176 //      VoronoiStorage: in, storage for Voronoi Diagram.
    177 //      contour_type: in, type of vertices.
    178 //                    The possible values are CV_LEE_INT,CV_LEE_FLOAT,CV_LEE_DOUBLE.
    179 //      contour_orientation: in, orientation of polygons.
    180 //                           = 1, if contour is left - oriented in left coordinat system
    181 //                           =-1, if contour is left - oriented in right coordinat system
    182 //      attempt_number: in, number of unsuccessful attemts made by program to compute
    183 //                          the Voronoi Diagram befor return the error
    184 //
    185 //    Returns: 1, if Voronoi Diagram was succesfully computed
    186 //             0, if some error occures
    187 //F*/
    188 static int  _cvLee(CvSeq* ContourSeq,
    189                       CvVoronoiDiagramInt* pVoronoiDiagramInt,
    190                       CvMemStorage* VoronoiStorage,
    191                       CvLeeParameters contour_type,
    192                       int contour_orientation,
    193                       int attempt_number);
    194 
    195 /*F///////////////////////////////////////////////////////////////////////////////////////
    196 //    Author:  Andrey Sobolev
    197 //    Name:    _cvConstuctSites
    198 //    Purpose : Compute sites for given polygon with holes
    199 //                     (site is an edge of polygon or a reflex vertex).
    200 //    Context:
    201 //    Parameters:
    202 //            ContourSeq : in, vertices of polygon
    203 //       pVoronoiDiagram : in, pointer to struct, which contains the
    204 //                          description of Voronoi Diagram
    205 //           contour_type: in, type of vertices.  The possible values are
    206 //                          CV_LEE_INT,CV_LEE_FLOAT,CV_LEE_DOUBLE.
    207 //    contour_orientation: in, orientation of polygons.
    208 //                           = 1, if contour is left - oriented in left coordinat system
    209 //                           =-1, if contour is left - oriented in right coordinat system
    210 //     Return: 1, if sites were succesfully constructed
    211 //             0, if some error occures
    212 //F*/
    213 static int _cvConstuctSites(CvSeq* ContourSeq,
    214                             CvVoronoiDiagramInt* pVoronoiDiagram,
    215                             CvLeeParameters contour_type,
    216                             int contour_orientation);
    217 
    218 /*F///////////////////////////////////////////////////////////////////////////////////////
    219 //    Author:  Andrey Sobolev
    220 //    Name:    _cvConstructChains
    221 //    Purpose : Compute chains for given polygon with holes.
    222 //    Context:
    223 //    Parameters:
    224 //       pVoronoiDiagram : in, pointer to struct, which contains the
    225 //                          description of Voronoi Diagram
    226 //     Return: 1, if chains were succesfully constructed
    227 //             0, if some error occures
    228 //F*/
    229 static int _cvConstructChains(CvVoronoiDiagramInt* pVoronoiDiagram);
    230 
    231 /*F///////////////////////////////////////////////////////////////////////////////////////
    232 //    Author:  Andrey Sobolev
    233 //    Name:    _cvConstructSkeleton
    234 //    Purpose: Compute skeleton for given collection of sites, using Lee algorithm
    235 //    Context:
    236 //    Parameters:
    237 //      VoronoiDiagram : in, pointer to struct, which contains the
    238 //                       description of Voronoi Diagram.
    239 //    Returns: 1, if skeleton was succesfully computed
    240 //             0, if some error occures
    241 //F*/
    242 static int _cvConstructSkeleton(CvVoronoiDiagramInt* pVoronoiDiagram);
    243 
    244 /*F///////////////////////////////////////////////////////////////////////////////////////
    245 //    Author:  Andrey Sobolev
    246 //    Name:    _cvConstructSiteTree
    247 //    Purpose: Construct tree of sites (by analogy with contour tree).
    248 //    Context:
    249 //    Parameters:
    250 //      VoronoiDiagram : in, pointer to struct, which contains the
    251 //                       description of Voronoi Diagram.
    252 //    Returns:
    253 //F*/
    254 static void _cvConstructSiteTree(CvVoronoiDiagramInt* pVoronoiDiagram);
    255 
    256 /*F///////////////////////////////////////////////////////////////////////////////////////
    257 //    Author:   Andrey Sobolev
    258 //    Name:     _cvReleaseVoronoiStorage
    259 //    Purpose : Function realease storages.
    260 //                  The storages are divided into two groups:
    261 //                  SiteStorage, EdgeStorage, NodeStorage form the first group;
    262 //                  ChainStorage,ParabolaStorage,DirectionStorage,HoleStorage form the second group.
    263 //    Context:
    264 //    Parameters:
    265 //        pVoronoiStorage: in,
    266 //        group1,group2: in, if group1<>0 then storages from first group released
    267 //                           if group2<>0 then storages from second group released
    268 //    Return    :
    269 //F*/
    270 static void _cvReleaseVoronoiStorage(CvVoronoiStorageInt* pVoronoiStorage, int group1, int group2);
    271 
    272 /*F///////////////////////////////////////////////////////////////////////////////////////
    273 //  Author:  Andrey Sobolev
    274 //  Name:  _cvConvert
    275 //  Purpose :  Function convert internal representation of VD (via
    276 //                  structs CvVoronoiSiteInt, CvVoronoiEdgeInt,CvVoronoiNodeInt) into
    277 //                  external representation of VD (via structs CvVoronoiSite2D, CvVoronoiEdge2D,
    278 //                  CvVoronoiNode2D)
    279 //    Context:
    280 //    Parameters:
    281 //        VoronoiDiagram: in
    282 //        VoronoiStorage: in
    283 //        change_orientation: in, if = -1 then the convertion is accompanied with change
    284 //                            of orientation
    285 //
    286 //     Return: 1, if convertion was succesfully completed
    287 //             0, if some error occures
    288 //F*/
    289 /*
    290 static int _cvConvert(CvVoronoiDiagram2D* VoronoiDiagram,
    291                       CvMemStorage* VoronoiStorage,
    292                       int change_orientation);
    293 */
    294 static int _cvConvert(CvVoronoiDiagram2D* VoronoiDiagram,
    295                        CvVoronoiDiagramInt VoronoiDiagramInt,
    296                        CvSet* &NewSiteSeqPrev,
    297                        CvSeqWriter &NodeWriter,
    298                        CvSeqWriter &EdgeWriter,
    299                        CvMemStorage* VoronoiStorage,
    300                        int change_orientation);
    301 
    302 /*F///////////////////////////////////////////////////////////////////////////////////////
    303 //  Author:  Andrey Sobolev
    304 //  Name:  _cvConvertSameOrientation
    305 //  Purpose :  Function convert internal representation of VD (via
    306 //                  structs CvVoronoiSiteInt, CvVoronoiEdgeInt,CvVoronoiNodeInt) into
    307 //                  external representation of VD (via structs CvVoronoiSite2D, CvVoronoiEdge2D,
    308 //                  CvVoronoiNode2D) without change of orientation
    309 //    Context:
    310 //    Parameters:
    311 //        VoronoiDiagram: in
    312 //        VoronoiStorage: in
    313 /
    314 //     Return: 1, if convertion was succesfully completed
    315 //             0, if some error occures
    316 //F*/
    317 /*
    318 static int _cvConvertSameOrientation(CvVoronoiDiagram2D* VoronoiDiagram,
    319                                       CvMemStorage* VoronoiStorage);
    320 */
    321 static int _cvConvertSameOrientation(CvVoronoiDiagram2D* VoronoiDiagram,
    322                        CvVoronoiDiagramInt VoronoiDiagramInt,
    323                        CvSet* &NewSiteSeqPrev,
    324                        CvSeqWriter &NodeWriter,
    325                        CvSeqWriter &EdgeWriter,
    326                        CvMemStorage* VoronoiStorage);
    327 
    328 /*F///////////////////////////////////////////////////////////////////////////////////////
    329 //  Author:  Andrey Sobolev
    330 //  Name:  _cvConvertChangeOrientation
    331 //  Purpose :  Function convert internal representation of VD (via
    332 //                  structs CvVoronoiSiteInt, CvVoronoiEdgeInt,CvVoronoiNodeInt) into
    333 //                  external representation of VD (via structs CvVoronoiSite2D, CvVoronoiEdge2D,
    334 //                  CvVoronoiNode2D) with change of orientation
    335 //    Context:
    336 //    Parameters:
    337 //        VoronoiDiagram: in
    338 //        VoronoiStorage: in
    339 /
    340 //     Return: 1, if convertion was succesfully completed
    341 //             0, if some error occures
    342 //F*/
    343 /*
    344 static int _cvConvertChangeOrientation(CvVoronoiDiagram2D* VoronoiDiagram,
    345                                       CvMemStorage* VoronoiStorage);
    346                                       */
    347 static int _cvConvertChangeOrientation(CvVoronoiDiagram2D* VoronoiDiagram,
    348                        CvVoronoiDiagramInt VoronoiDiagramInt,
    349                        CvSet* &NewSiteSeqPrev,
    350                        CvSeqWriter &NodeWriter,
    351                        CvSeqWriter &EdgeWriter,
    352                        CvMemStorage* VoronoiStorage);
    353 
    354 /*--------------------------------------------------------------------------
    355     Author      : Andrey Sobolev
    356     Description : Compute  sites for external polygon.
    357     Arguments
    358      pVoronoiDiagram : in, pointer to struct, which contains the
    359                         description of Voronoi Diagram
    360      ContourSeq : in, vertices of polygon
    361      pReflexSite: out, pointer to reflex site,if any exist,else NULL
    362      orientation: in, orientation of contour ( = 1 or = -1)
    363      type:        in, type of vertices. The possible values are (int)1,
    364                    (float)1,(double)1.
    365      Return:    1, if sites were succesfully constructed
    366                 0, if some error occures    :
    367     --------------------------------------------------------------------------*/
    368 template<class T>
    369 int _cvConstructExtSites(CvVoronoiDiagramInt* pVoronoiDiagram,
    370                          CvSeq* ContourSeq,
    371                          int orientation,
    372                          T /*type*/);
    373 
    374 /*--------------------------------------------------------------------------
    375     Author      : Andrey Sobolev
    376     Description : Compute  sites for internal polygon (for hole).
    377     Arguments
    378      pVoronoiDiagram : in, pointer to struct, which contains the
    379                         description of Voronoi Diagram
    380      CurrSiteSeq: in, the sequence for sites to be constructed
    381      CurrContourSeq : in, vertices of polygon
    382      pTopSite: out, pointer to the most left site of polygon (it is the most left
    383                 vertex of polygon)
    384      orientation: in, orientation of contour ( = 1 or = -1)
    385      type:        in, type of vertices. The possible values are (int)1,
    386                    (float)1,(double)1.
    387      Return:    1, if sites were succesfully constructed
    388                 0, if some error occures    :
    389     --------------------------------------------------------------------------*/
    390 template<class T>
    391 int _cvConstructIntSites(CvVoronoiDiagramInt* pVoronoiDiagram,
    392                          CvSeq* CurrSiteSeq,
    393                          CvSeq* CurrContourSeq,
    394                          pCvVoronoiSite &pTopSite,
    395                          int orientation,
    396                          T /*type*/);
    397 
    398 /*--------------------------------------------------------------------------
    399     Author      : Andrey Sobolev
    400     Description : Compute the simple chains of sites for external polygon.
    401     Arguments
    402      pVoronoiDiagram : in&out, pointer to struct, which contains the
    403                         description of Voronoi Diagram
    404 
    405     Return: 1, if chains were succesfully constructed
    406             0, if some error occures
    407     --------------------------------------------------------------------------*/
    408 static int _cvConstructExtChains(CvVoronoiDiagramInt* pVoronoiDiagram);
    409 
    410 /*--------------------------------------------------------------------------
    411     Author      : Andrey Sobolev
    412     Description : Compute the simple chains of sites for internal polygon (= hole)
    413     Arguments
    414     pVoronoiDiagram : in, pointer to struct, which contains the
    415                         description of Voronoi Diagram
    416     CurrSiteSeq : in, the sequence of sites
    417    CurrChainSeq : in,the sequence for chains to be constructed
    418        pTopSite : in, the most left site of hole
    419 
    420       Return    :
    421     --------------------------------------------------------------------------*/
    422 static void _cvConstructIntChains(CvVoronoiDiagramInt* pVoronoiDiagram,
    423                                   CvSeq* CurrChainSeq,
    424                                   CvSeq* CurrSiteSeq,
    425                                   pCvVoronoiSite pTopSite);
    426 
    427 /*--------------------------------------------------------------------------
    428     Author      : Andrey Sobolev
    429     Description : Compute the initial Voronoi Diagram for single site
    430     Arguments
    431      pVoronoiDiagram : in, pointer to struct, which contains the
    432                         description of Voronoi Diagram
    433      pSite: in, pointer to site
    434 
    435      Return :
    436     --------------------------------------------------------------------------*/
    437 static void _cvConstructEdges(pCvVoronoiSite pSite,CvVoronoiDiagramInt* pVoronoiDiagram);
    438 
    439 /*--------------------------------------------------------------------------
    440     Author      : Andrey Sobolev
    441     Description : Function moves each node on small random value. The nodes are taken
    442                     from pVoronoiDiagram->NodeSeq.
    443     Arguments
    444      pVoronoiDiagram : in, pointer to struct, which contains the
    445                         description of Voronoi Diagram
    446      begin,end: in, the first and the last nodes in pVoronoiDiagram->NodeSeq,
    447                     which moves
    448      shift: in, the value of maximal shift.
    449      Return :
    450     --------------------------------------------------------------------------*/
    451 static void _cvRandomModification(CvVoronoiDiagramInt* pVoronoiDiagram, int begin, int end, float shift);
    452 
    453 /*--------------------------------------------------------------------------
    454     Author      : Andrey Sobolev
    455     Description : Compute the internal Voronoi Diagram for external polygon.
    456     Arguments
    457      pVoronoiDiagram : in, pointer to struct, which contains the
    458                         description of Voronoi Diagram
    459      Return     : 1, if VD was constructed succesfully
    460                   0, if some error occure
    461     --------------------------------------------------------------------------*/
    462 static int _cvConstructExtVD(CvVoronoiDiagramInt* pVoronoiDiagram);
    463 
    464 /*--------------------------------------------------------------------------
    465     Author      : Andrey Sobolev
    466     Description : Compute the external Voronoi Diagram for each internal polygon (hole).
    467     Arguments
    468      pVoronoiDiagram : in, pointer to struct, which contains the
    469                         description of Voronoi Diagram
    470      Return     :
    471     --------------------------------------------------------------------------*/
    472 static void _cvConstructIntVD(CvVoronoiDiagramInt* pVoronoiDiagram);
    473 
    474 /*--------------------------------------------------------------------------
    475     Author      : Andrey Sobolev
    476     Description : Function joins the Voronoi Diagrams of different
    477                     chains into one Voronoi Diagram
    478     Arguments
    479      pVoronoiDiagram : in, pointer to struct, which contains the
    480                         description of Voronoi Diagram
    481      pChain1,pChain1: in, given chains
    482      Return     : 1, if joining was succesful
    483                   0, if some error occure
    484     --------------------------------------------------------------------------*/
    485 static int _cvJoinChains(pCvVoronoiChain pChain1,
    486                          pCvVoronoiChain pChain2,
    487                          CvVoronoiDiagramInt* pVoronoiDiagram);
    488 
    489 /*--------------------------------------------------------------------------
    490     Author      : Andrey Sobolev
    491     Description : Function finds the nearest site for top vertex
    492                  (= the most left vertex) of each hole
    493     Arguments
    494         pVoronoiDiagram : in, pointer to struct, which contains the
    495                          description of Voronoi Diagram
    496      Return     :
    497     --------------------------------------------------------------------------*/
    498 static void _cvFindNearestSite(CvVoronoiDiagramInt* pVoronoiDiagram);
    499 
    500 /*--------------------------------------------------------------------------
    501     Author      : Andrey Sobolev
    502     Description : Function seeks for site, which has common bisector in
    503                   final VD with top vertex of given hole. It stores in pHole->opposite_site.
    504                    The search begins from  Hole->nearest_site and realizes in clockwise
    505                    direction around the top vertex of given hole.
    506     Arguments
    507         pVoronoiDiagram : in, pointer to struct, which contains the
    508                           description of Voronoi Diagram
    509           pHole : in, given hole
    510      Return     : 1, if the search was succesful
    511                   0, if some error occure
    512     --------------------------------------------------------------------------*/
    513 static int _cvFindOppositSiteCW(pCvVoronoiHole pHole, CvVoronoiDiagramInt* pVoronoiDiagram);
    514 
    515 /*--------------------------------------------------------------------------
    516     Author      : Andrey Sobolev
    517     Description : Function seeks for site, which has common bisector in
    518                   final VD with top vertex of given hole. It stores in pHole->opposite_site.
    519                    The search begins from  Hole->nearest_site and realizes in counterclockwise
    520                    direction around the top vertex of given hole.
    521     Arguments
    522         pVoronoiDiagram : in, pointer to struct, which contains the
    523                         description of Voronoi Diagram
    524           pHole : in, given hole
    525      Return     : 1, if the search was succesful
    526                   0, if some error occure
    527     --------------------------------------------------------------------------*/
    528 static int _cvFindOppositSiteCCW(pCvVoronoiHole pHole,CvVoronoiDiagramInt* pVoronoiDiagram);
    529 
    530 /*--------------------------------------------------------------------------
    531     Author      : Andrey Sobolev
    532     Description : Function merges external VD of hole and internal VD, which was
    533                   constructed ealier.
    534     Arguments
    535 pVoronoiDiagram : in, pointer to struct, which contains the
    536                         description of Voronoi Diagram
    537           pHole : in, given hole
    538      Return     : 1, if merging was succesful
    539                   0, if some error occure
    540     --------------------------------------------------------------------------*/
    541 static int _cvMergeVD(pCvVoronoiHole pHole,CvVoronoiDiagramInt* pVoronoiDiagram);
    542 
    543 
    544 /* ///////////////////////////////////////////////////////////////////////////////////////
    545 //                               Computation of bisectors                               //
    546 /////////////////////////////////////////////////////////////////////////////////////// */
    547 
    548 /*--------------------------------------------------------------------------
    549     Author      : Andrey Sobolev
    550     Description : Compute the bisector of two sites
    551     Arguments
    552      pSite_left,pSite_right: in, given sites
    553      pVoronoiDiagram : in, pointer to struct, which contains the
    554                         description of Voronoi Diagram
    555      pEdge      : out, bisector
    556      Return     :
    557     --------------------------------------------------------------------------*/
    558 void _cvCalcEdge(pCvVoronoiSite pSite_left,
    559                 pCvVoronoiSite pSite_right,
    560                 pCvVoronoiEdge pEdge,
    561                 CvVoronoiDiagramInt* pVoronoiDiagram);
    562 
    563 /*--------------------------------------------------------------------------
    564     Author      : Andrey Sobolev
    565     Description : Compute the bisector of point and site
    566     Arguments
    567      pSite      : in, site
    568      pNode      : in, point
    569      pVoronoiDiagram : in, pointer to struct, which contains the
    570                         description of Voronoi Diagram
    571      pEdge      : out, bisector
    572      Return     :
    573     --------------------------------------------------------------------------*/
    574 void _cvCalcEdge(pCvVoronoiSite pSite,
    575                 pCvVoronoiNode pNode,
    576                 pCvVoronoiEdge pEdge,
    577                 CvVoronoiDiagramInt* pVoronoiDiagram);
    578 
    579 /*--------------------------------------------------------------------------
    580     Author      : Andrey Sobolev
    581     Description : Compute the bisector of point and site
    582     Arguments
    583      pSite      : in, site
    584      pNode      : in, point
    585      pVoronoiDiagram : in, pointer to struct, which contains the
    586                         description of Voronoi Diagram
    587      pEdge      : out, bisector
    588      Return     :
    589     --------------------------------------------------------------------------*/
    590 void _cvCalcEdge(pCvVoronoiNode pNode,
    591                 pCvVoronoiSite pSite,
    592                 pCvVoronoiEdge pEdge,
    593                 CvVoronoiDiagramInt* pVoronoiDiagram);
    594 
    595 /*--------------------------------------------------------------------------
    596     Author      : Andrey Sobolev
    597     Description : Compute the direction of bisector of two segments
    598     Arguments
    599      pDirection1: in, direction of first segment
    600      pDirection2: in, direction of second segment
    601      pVoronoiDiagram : in, pointer to struct, which contains the
    602                         description of Voronoi Diagram
    603      pEdge      : out, bisector
    604      Return     :
    605     --------------------------------------------------------------------------*/
    606 CV_INLINE
    607 void _cvCalcEdgeLL(pCvDirection pDirection1,
    608                   pCvDirection pDirection2,
    609                   pCvVoronoiEdge pEdge,
    610                   CvVoronoiDiagramInt* pVoronoiDiagram);
    611 
    612 /*--------------------------------------------------------------------------
    613     Author      : Andrey Sobolev
    614     Description : Compute the bisector of two points
    615     Arguments
    616      pPoint1, pPoint2: in, given points
    617      pVoronoiDiagram : in, pointer to struct, which contains the
    618                         description of Voronoi Diagram
    619      pEdge      : out, bisector
    620      Return     :
    621     --------------------------------------------------------------------------*/
    622 CV_INLINE
    623 void _cvCalcEdgePP(pCvPointFloat pPoint1,
    624                   pCvPointFloat pPoint2,
    625                   pCvVoronoiEdge pEdge,
    626                   CvVoronoiDiagramInt* pVoronoiDiagram);
    627 
    628 /*--------------------------------------------------------------------------
    629     Author      : Andrey Sobolev
    630     Description : Compute the bisector of segment and point. Since
    631                     it is parabola, it is defined by its focus (site - point)
    632                     and directrice(site-segment)
    633     Arguments
    634      pFocus    : in, point, which defines the focus of parabola
    635      pDirectrice: in, site - segment, which defines the directrice of parabola
    636      pVoronoiDiagram : in, pointer to struct, which contains the
    637                         description of Voronoi Diagram
    638      pEdge      : out, bisector
    639      Return     :
    640     --------------------------------------------------------------------------*/
    641 CV_INLINE
    642 void _cvCalcEdgePL(pCvVoronoiNode pFocus,
    643                   pCvVoronoiSite pDirectrice,
    644                   pCvVoronoiEdge pEdge,
    645                   CvVoronoiDiagramInt* pVoronoiDiagram);
    646 
    647 /*--------------------------------------------------------------------------
    648     Author      : Andrey Sobolev
    649     Description : Compute the bisector of segment and point. Since
    650                     it is parabola, it is defined by its focus (site - point)
    651                     and directrice(site-segment)
    652     Arguments
    653      pFocus    : in, point, which defines the focus of parabola
    654      pDirectrice: in, site - segment, which defines the directrice of parabola
    655      pVoronoiDiagram : in, pointer to struct, which contains the
    656                         description of Voronoi Diagram
    657      pEdge      : out, bisector
    658      Return     :
    659     --------------------------------------------------------------------------*/
    660 CV_INLINE
    661 void _cvCalcEdgeLP(pCvVoronoiSite pDirectrice,
    662                   pCvVoronoiNode pFocus,
    663                   pCvVoronoiEdge pEdge,
    664                   CvVoronoiDiagramInt* pVoronoiDiagram);
    665 
    666 /* ///////////////////////////////////////////////////////////////////////////////////////
    667 //                  Computation of intersections of bisectors                           //
    668 /////////////////////////////////////////////////////////////////////////////////////// */
    669 
    670 /*--------------------------------------------------------------------------
    671     Author      : Andrey Sobolev
    672     Description : Function computes intersection of two edges. Intersection
    673                     must be the nearest to the marked point on pEdge1
    674                     (this marked point is pEdge1->node1->node).
    675     Arguments
    676     pEdge1,pEdge2: in, two edges
    677         pPoint: out, intersection of pEdge1 and pEdge2
    678         Radius: out, distance between pPoint and sites, assosiated
    679                     with pEdge1 and pEdge2 (pPoint is situated on the equal
    680                     distance from site, assosiated with pEdge1 and from
    681                     site,assosiated with pEdge2)
    682       Return    : distance between pPoint and marked point on pEdge1 or
    683                 : -1, if edges have no intersections
    684     --------------------------------------------------------------------------*/
    685 static
    686 float _cvCalcEdgeIntersection(pCvVoronoiEdge pEdge1,
    687                               pCvVoronoiEdge pEdge2,
    688                               CvPointFloat* pPoint,
    689                               float &Radius);
    690 
    691 /*--------------------------------------------------------------------------
    692     Author      : Andrey Sobolev
    693     Description : Function computes intersection of two edges. Intersection
    694                     must be the nearest to the marked point on pEdge1
    695                     (this marked point is pEdge1->node1->node).
    696     Arguments
    697     pEdge1 : in, straight ray
    698     pEdge2: in, straight ray or segment
    699         pPoint: out, intersection of pEdge1 and pEdge2
    700         Radius: out, distance between pPoint and sites, assosiated
    701                     with pEdge1 and pEdge2 (pPoint is situated on the equal
    702                     distance from site, assosiated with pEdge1 and from
    703                     site,assosiated with pEdge2)
    704      Return : distance between pPoint and marked point on pEdge1 or
    705                 : -1, if edges have no intersections
    706     --------------------------------------------------------------------------*/
    707 static
    708 float _cvLine_LineIntersection(pCvVoronoiEdge pEdge1,
    709                                 pCvVoronoiEdge pEdge2,
    710                                 pCvPointFloat  pPoint,
    711                                 float &Radius);
    712 
    713 /*--------------------------------------------------------------------------
    714     Author      : Andrey Sobolev
    715     Description : Function computes intersection of two edges. Intersection
    716                     must be the nearest to the marked point on pEdge1
    717                     (this marked point is pEdge1->node1->node).
    718     Arguments
    719     pEdge1 : in, straight ray
    720     pEdge2: in, parabolic ray or segment
    721         pPoint: out, intersection of pEdge1 and pEdge2
    722         Radius: out, distance between pPoint and sites, assosiated
    723                     with pEdge1 and pEdge2 (pPoint is situated on the equal
    724                     distance from site, assosiated with pEdge1 and from
    725                     site,assosiated with pEdge2)
    726       Return    : distance between pPoint and marked point on pEdge1 or
    727                 : -1, if edges have no intersections
    728     --------------------------------------------------------------------------*/
    729 static
    730 float _cvLine_ParIntersection(pCvVoronoiEdge pEdge1,
    731                                 pCvVoronoiEdge pEdge2,
    732                                 pCvPointFloat  pPoint,
    733                                 float &Radius);
    734 
    735 /*--------------------------------------------------------------------------
    736     Author      : Andrey Sobolev
    737     Description : Function computes intersection of two edges. Intersection
    738                     must be the nearest to the marked point on pEdge1
    739                     (this marked point is pEdge1->node1->node).
    740     Arguments
    741     pEdge1 : in, straight ray
    742     pEdge2: in, parabolic segment
    743         pPoint: out, intersection of pEdge1 and pEdge2
    744         Radius: out, distance between pPoint and sites, assosiated
    745                     with pEdge1 and pEdge2 (pPoint is situated on the equal
    746                     distance from site, assosiated with pEdge1 and from
    747                     site,assosiated with pEdge2)
    748       Return    : distance between pPoint and marked point on pEdge1 or
    749                 : -1, if edges have no intersections
    750     --------------------------------------------------------------------------*/
    751 static
    752 float _cvLine_CloseParIntersection(pCvVoronoiEdge pEdge1,
    753                                 pCvVoronoiEdge pEdge2,
    754                                 pCvPointFloat  pPoint,
    755                                 float &Radius);
    756 
    757 /*--------------------------------------------------------------------------
    758     Author      : Andrey Sobolev
    759     Description : Function computes intersection of two edges. Intersection
    760                     must be the nearest to the marked point on pEdge1
    761                     (this marked point is pEdge1->node1->node).
    762     Arguments
    763     pEdge1 : in, straight ray
    764     pEdge2: in, parabolic ray
    765         pPoint: out, intersection of pEdge1 and pEdge2
    766         Radius: out, distance between pPoint and sites, assosiated
    767                     with pEdge1 and pEdge2 (pPoint is situated on the equal
    768                     distance from site, assosiated with pEdge1 and from
    769                     site,assosiated with pEdge2)
    770       Return    : distance between pPoint and marked point on pEdge1 or
    771                 : -1, if edges have no intersections
    772     --------------------------------------------------------------------------*/
    773 static
    774 float _cvLine_OpenParIntersection(pCvVoronoiEdge pEdge1,
    775                                 pCvVoronoiEdge pEdge2,
    776                                 pCvPointFloat  pPoint,
    777                                 float &Radius);
    778 
    779 /*--------------------------------------------------------------------------
    780     Author      : Andrey Sobolev
    781     Description : Function computes intersection of two edges. Intersection
    782                     must be the nearest to the marked point on pEdge1
    783                     (this marked point is pEdge1->node1->node).
    784     Arguments
    785     pEdge1 : in,  parabolic ray
    786     pEdge2: in,  straight ray or segment
    787         pPoint: out, intersection of pEdge1 and pEdge2
    788         Radius: out, distance between pPoint and sites, assosiated
    789                     with pEdge1 and pEdge2 (pPoint is situated on the equal
    790                     distance from site, assosiated with pEdge1 and from
    791                     site,assosiated with pEdge2)
    792       Return    : distance between pPoint and marked point on pEdge1 or
    793                 : -1, if edges have no intersections
    794     --------------------------------------------------------------------------*/
    795 static
    796 float _cvPar_LineIntersection(pCvVoronoiEdge pEdge1,
    797                                 pCvVoronoiEdge pEdge2,
    798                                 pCvPointFloat  pPoint,
    799                                 float &Radius);
    800 /*--------------------------------------------------------------------------
    801     Author      : Andrey Sobolev
    802     Description : Function computes intersection of two edges. Intersection
    803                     must be the nearest to the marked point on pEdge1
    804                     (this marked point is pEdge1->node1->node).
    805     Arguments
    806     pEdge1 : in,  parabolic ray
    807     pEdge2: in,  straight ray
    808         pPoint: out, intersection of pEdge1 and pEdge2
    809         Radius: out, distance between pPoint and sites, assosiated
    810                     with pEdge1 and pEdge2 (pPoint is situated on the equal
    811                     distance from site, assosiated with pEdge1 and from
    812                     site,assosiated with pEdge2)
    813       Return    : distance between pPoint and marked point on pEdge1 or
    814                 : -1, if edges have no intersections
    815     --------------------------------------------------------------------------*/
    816 static
    817 float _cvPar_OpenLineIntersection(pCvVoronoiEdge pEdge1,
    818                                 pCvVoronoiEdge pEdge2,
    819                                 pCvPointFloat  pPoint,
    820                                 float &Radius);
    821 
    822 /*--------------------------------------------------------------------------
    823     Author      : Andrey Sobolev
    824     Description : Function computes intersection of two edges. Intersection
    825                     must be the nearest to the marked point on pEdge1
    826                     (this marked point is pEdge1->node1->node).
    827     Arguments
    828     pEdge1 : in,  parabolic ray
    829     pEdge2: in,  straight segment
    830         pPoint: out, intersection of pEdge1 and pEdge2
    831         Radius: out, distance between pPoint and sites, assosiated
    832                     with pEdge1 and pEdge2 (pPoint is situated on the equal
    833                     distance from site, assosiated with pEdge1 and from
    834                     site,assosiated with pEdge2)
    835       Return    : distance between pPoint and marked point on pEdge1 or
    836                 : -1, if edges have no intersections
    837     --------------------------------------------------------------------------*/
    838 static
    839 float _cvPar_CloseLineIntersection(pCvVoronoiEdge pEdge1,
    840                                     pCvVoronoiEdge pEdge2,
    841                                     pCvPointFloat  pPoint,
    842                                     float &Radius);
    843 
    844 /*--------------------------------------------------------------------------
    845     Author      : Andrey Sobolev
    846     Description : Function computes intersection of two edges. Intersection
    847                     must be the nearest to the marked point on pEdge1
    848                     (this marked point is pEdge1->node1->node).
    849     Arguments
    850     pEdge1 : in,  parabolic ray
    851     pEdge2: in,  parabolic ray or segment
    852         pPoint: out, intersection of pEdge1 and pEdge2
    853         Radius: out, distance between pPoint and sites, assosiated
    854                     with pEdge1 and pEdge2 (pPoint is situated on the equal
    855                     distance from site, assosiated with pEdge1 and from
    856                     site,assosiated with pEdge2)
    857       Return    : distance between pPoint and marked point on pEdge1 or
    858                 : -1, if edges have no intersections
    859     --------------------------------------------------------------------------*/
    860 static
    861 float _cvPar_ParIntersection(pCvVoronoiEdge pEdge1,
    862                                 pCvVoronoiEdge pEdge2,
    863                                 pCvPointFloat  pPoint,
    864                                 float &Radius);
    865 
    866 
    867 /*--------------------------------------------------------------------------
    868     Author      : Andrey Sobolev
    869     Description : Function computes intersection of two edges. Intersection
    870                     must be the nearest to the marked point on pEdge1
    871                     (this marked point is pEdge1->node1->node).
    872     Arguments
    873     pEdge1 : in,  parabolic ray
    874     pEdge2: in,  parabolic ray
    875         pPoint: out, intersection of pEdge1 and pEdge2
    876         Radius: out, distance between pPoint and sites, assosiated
    877                     with pEdge1 and pEdge2 (pPoint is situated on the equal
    878                     distance from site, assosiated with pEdge1 and from
    879                     site,assosiated with pEdge2)
    880       Return    : distance between pPoint and marked point on pEdge1 or
    881                 : -1, if edges have no intersections
    882     --------------------------------------------------------------------------*/
    883 static
    884 float _cvPar_OpenParIntersection(pCvVoronoiEdge pEdge1,
    885                             pCvVoronoiEdge pEdge2,
    886                             pCvPointFloat  pPoint,
    887                             float &Radius);
    888 
    889 /*--------------------------------------------------------------------------
    890     Author      : Andrey Sobolev
    891     Description : Function computes intersection of two edges. Intersection
    892                     must be the nearest to the marked point on pEdge1
    893                     (this marked point is pEdge1->node1->node).
    894     Arguments
    895     pEdge1 : in,  parabolic ray
    896     pEdge2: in,  parabolic segment
    897         pPoint: out, intersection of pEdge1 and pEdge2
    898         Radius: out, distance between pPoint and sites, assosiated
    899                     with pEdge1 and pEdge2 (pPoint is situated on the equal
    900                     distance from site, assosiated with pEdge1 and from
    901                     site,assosiated with pEdge2)
    902       Return    : distance between pPoint and marked point on pEdge1 or
    903                 : -1, if edges have no intersections
    904     --------------------------------------------------------------------------*/
    905 static
    906 float _cvPar_CloseParIntersection(pCvVoronoiEdge pEdge1,
    907                             pCvVoronoiEdge pEdge2,
    908                             pCvPointFloat  pPoint,
    909                             float &Radius);
    910 
    911 /* ///////////////////////////////////////////////////////////////////////////////////////
    912 //                           Subsidiary functions                                       //
    913 /////////////////////////////////////////////////////////////////////////////////////// */
    914 
    915 /*--------------------------------------------------------------------------
    916     Author      : Andrey Sobolev
    917     Description :
    918     Arguments
    919         pEdge1  : in
    920         pEdge2  : out
    921      Return     :
    922     --------------------------------------------------------------------------*/
    923 CV_INLINE
    924 void _cvMakeTwinEdge(pCvVoronoiEdge pEdge2,
    925                      pCvVoronoiEdge pEdge1);
    926 
    927 /*--------------------------------------------------------------------------
    928     Author      : Andrey Sobolev
    929     Description :
    930     Arguments
    931         pEdge   : in&out
    932         pEdge_left_prev : in&out
    933         pSite_left : in&out
    934      Return     :
    935     --------------------------------------------------------------------------*/
    936 CV_INLINE
    937 void _cvStickEdgeLeftBegin(pCvVoronoiEdge pEdge,
    938                           pCvVoronoiEdge pEdge_left_prev,
    939                           pCvVoronoiSite pSite_left);
    940 
    941 /*--------------------------------------------------------------------------
    942     Author      : Andrey Sobolev
    943     Description :
    944     Arguments
    945         pEdge   : in&out
    946         pEdge_right_next : in&out
    947         pSite_right : in&out
    948      Return     :
    949     --------------------------------------------------------------------------*/
    950 CV_INLINE
    951 void _cvStickEdgeRightBegin(pCvVoronoiEdge pEdge,
    952                           pCvVoronoiEdge pEdge_right_next,
    953                           pCvVoronoiSite pSite_right);
    954 
    955 /*--------------------------------------------------------------------------
    956     Author      : Andrey Sobolev
    957     Description :
    958     Arguments
    959         pEdge   : in&out
    960         pEdge_left_next : in&out
    961         pSite_left : in&out
    962      Return     :
    963     --------------------------------------------------------------------------*/
    964 CV_INLINE
    965 void _cvStickEdgeLeftEnd(pCvVoronoiEdge pEdge,
    966                         pCvVoronoiEdge pEdge_left_next,
    967                         pCvVoronoiSite pSite_left);
    968 
    969 /*--------------------------------------------------------------------------
    970     Author      : Andrey Sobolev
    971     Description :
    972     Arguments
    973         pEdge   : in&out
    974         pEdge_right_prev : in&out
    975         pSite_right : in&out
    976      Return     :
    977     --------------------------------------------------------------------------*/
    978 CV_INLINE
    979 void _cvStickEdgeRightEnd(pCvVoronoiEdge pEdge,
    980                          pCvVoronoiEdge pEdge_right_prev,
    981                          pCvVoronoiSite pSite_right);
    982 
    983 /*--------------------------------------------------------------------------
    984     Author      : Andrey Sobolev
    985     Description :
    986     Arguments
    987         pEdge_left_cur  : in
    988         pEdge_left : in
    989      Return     :
    990     --------------------------------------------------------------------------*/
    991 CV_INLINE
    992 void _cvTwinNULLLeft(pCvVoronoiEdge pEdge_left_cur,
    993                     pCvVoronoiEdge pEdge_left);
    994 
    995 /*--------------------------------------------------------------------------
    996     Author      : Andrey Sobolev
    997     Description :
    998     Arguments
    999         pEdge_right_cur : in
   1000         pEdge_right : in
   1001      Return     :
   1002     --------------------------------------------------------------------------*/
   1003 CV_INLINE
   1004 void _cvTwinNULLRight(pCvVoronoiEdge pEdge_right_cur,
   1005                      pCvVoronoiEdge pEdge_right);
   1006 
   1007 
   1008 /*--------------------------------------------------------------------------
   1009     Author      : Andrey Sobolev
   1010     Description : function initializes the struct CvVoronoiNode
   1011     Arguments
   1012         pNode   : out
   1013          pPoint : in,
   1014         radius  : in
   1015      Return     :
   1016     --------------------------------------------------------------------------*/
   1017 template <class T> CV_INLINE
   1018 void _cvInitVoronoiNode(pCvVoronoiNode pNode,
   1019                        T pPoint, float radius = 0);
   1020 
   1021 /*--------------------------------------------------------------------------
   1022     Author      : Andrey Sobolev
   1023     Description : function initializes the struct CvVoronoiSite
   1024     Arguments
   1025         pSite   : out
   1026          pNode1,pNode2,pPrev_site : in
   1027      Return     :
   1028     --------------------------------------------------------------------------*/
   1029 CV_INLINE
   1030 void _cvInitVoronoiSite(pCvVoronoiSite pSite,
   1031                        pCvVoronoiNode pNode1,
   1032                        pCvVoronoiNode pNode2,
   1033                        pCvVoronoiSite pPrev_site);
   1034 
   1035 /*--------------------------------------------------------------------------
   1036     Author      : Andrey Sobolev
   1037     Description : function pushs the element in the end of the sequence
   1038                     end returns its adress
   1039     Arguments
   1040             Seq : in, pointer to the sequence
   1041            Elem : in, element
   1042      Return     : pointer to the element in the sequence
   1043     --------------------------------------------------------------------------*/
   1044 template <class T> CV_INLINE
   1045 T _cvSeqPush(CvSeq* Seq, T pElem);
   1046 
   1047 /*--------------------------------------------------------------------------
   1048     Author      : Andrey Sobolev
   1049     Description : function pushs the element in the begin of the sequence
   1050                     end returns its adress
   1051     Arguments
   1052             Seq : in, pointer to the sequence
   1053            Elem : in, element
   1054      Return     : pointer to the element in the sequence
   1055     --------------------------------------------------------------------------*/
   1056 template <class T> CV_INLINE
   1057 T _cvSeqPushFront(CvSeq* Seq, T pElem);
   1058 
   1059 /*--------------------------------------------------------------------------
   1060     Author      : Andrey Sobolev
   1061     Description : function pushs the element pHole in pHoleHierarchy->HoleSeq
   1062                      so as all elements in this sequence would be normalized
   1063                      according to field .x_coord of element. pHoleHierarchy->TopHole
   1064                      points to hole with smallest x_coord.
   1065     Arguments
   1066 pHoleHierarchy  : in, pointer to the structur
   1067           pHole : in, element
   1068      Return     : pointer to the element in the sequence
   1069     --------------------------------------------------------------------------*/
   1070 CV_INLINE
   1071 void _cvSeqPushInOrder(CvVoronoiDiagramInt* pVoronoiDiagram, pCvVoronoiHole pHole);
   1072 
   1073 /*--------------------------------------------------------------------------
   1074     Author      : Andrey Sobolev
   1075     Description : function intersects given edge pEdge (and his twin edge)
   1076                     by point pNode on two parts
   1077     Arguments
   1078         pEdge   : in, given edge
   1079           pNode : in, given point
   1080         EdgeSeq : in
   1081      Return     : one of parts
   1082     --------------------------------------------------------------------------*/
   1083 CV_INLINE
   1084 pCvVoronoiEdge _cvDivideRightEdge(pCvVoronoiEdge pEdge,
   1085                                  pCvVoronoiNode pNode,
   1086                                  CvSeq* EdgeSeq);
   1087 
   1088 /*--------------------------------------------------------------------------
   1089     Author      : Andrey Sobolev
   1090     Description : function intersects given edge pEdge (and his twin edge)
   1091                     by point pNode on two parts
   1092     Arguments
   1093         pEdge   : in, given edge
   1094           pNode : in, given point
   1095         EdgeSeq : in
   1096      Return     : one of parts
   1097     --------------------------------------------------------------------------*/
   1098 CV_INLINE
   1099 pCvVoronoiEdge _cvDivideLeftEdge(pCvVoronoiEdge pEdge,
   1100                                 pCvVoronoiNode pNode,
   1101                                 CvSeq* EdgeSeq);
   1102 
   1103 /*--------------------------------------------------------------------------
   1104     Author      : Andrey Sobolev
   1105     Description : function pushs the element in the end of the sequence
   1106                     end returns its adress
   1107     Arguments
   1108           writer: in, writer associated with sequence
   1109           pElem : in, element
   1110      Return     : pointer to the element in the sequence
   1111     --------------------------------------------------------------------------*/
   1112 template<class T> CV_INLINE
   1113 T _cvWriteSeqElem(T pElem, CvSeqWriter &writer);
   1114 
   1115 /* ///////////////////////////////////////////////////////////////////////////////////////
   1116 //                           Mathematical functions                                     //
   1117 /////////////////////////////////////////////////////////////////////////////////////// */
   1118 
   1119 /*--------------------------------------------------------------------------
   1120     Author      : Andrey Sobolev
   1121     Description : Function changes x and y
   1122     Arguments
   1123             x,y : in&out
   1124       Return    :
   1125     --------------------------------------------------------------------------*/
   1126 template <class T> CV_INLINE
   1127 void _cvSwap(T &x, T &y);
   1128 
   1129 /*--------------------------------------------------------------------------
   1130     Author      : Andrey Sobolev
   1131     Description : Function computes the inverse map to the
   1132                     given ortogonal affine map
   1133     Arguments
   1134             A   : in, given ortogonal affine map
   1135             B   : out, inverse map
   1136       Return    : 1, if inverse map exist
   1137                   0, else
   1138     --------------------------------------------------------------------------*/
   1139 template <class T> CV_INLINE
   1140 int _cvCalcOrtogInverse(T* B, T* A);
   1141 
   1142 /*--------------------------------------------------------------------------
   1143     Author      : Andrey Sobolev
   1144     Description : Function computes the composition of two affine maps
   1145     Arguments
   1146             A,B : in, given affine maps
   1147             Result: out, composition of A and B (Result = AB)
   1148       Return    :
   1149     --------------------------------------------------------------------------*/
   1150 template <class T> CV_INLINE
   1151 void _cvCalcComposition(T* Result,T* A,T* B);
   1152 
   1153 /*--------------------------------------------------------------------------
   1154     Author      : Andrey Sobolev
   1155     Description : Function computes the image of point under
   1156                     given affin map
   1157     Arguments
   1158             A   : in, affine maps
   1159         pPoint  : in, pointer to point
   1160         pImgPoint:out, pointer to image of point
   1161       Return    :
   1162     --------------------------------------------------------------------------*/
   1163 template<class T> CV_INLINE
   1164 void _cvCalcPointImage(pCvPointFloat pImgPoint,pCvPointFloat pPoint,T* A);
   1165 
   1166 /*--------------------------------------------------------------------------
   1167     Author      : Andrey Sobolev
   1168     Description : Function computes the image of vector under
   1169                     given affin map
   1170     Arguments
   1171             A   : in, affine maps
   1172         pVector : in, pointer to vector
   1173         pImgVector:out, pointer to image of vector
   1174       Return    :
   1175     --------------------------------------------------------------------------*/
   1176 template<class T> CV_INLINE
   1177 void _cvCalcVectorImage(pCvDirection pImgVector,pCvDirection pVector,T* A);
   1178 
   1179 /*--------------------------------------------------------------------------
   1180     Author      : Andrey Sobolev
   1181     Description : Function computes the distance between the point
   1182                     and site. Internal function.
   1183     Arguments
   1184         pPoint  : in, point
   1185         pSite   : in, site
   1186       Return    : distance
   1187     --------------------------------------------------------------------------*/
   1188 CV_INLINE
   1189 float _cvCalcDist(pCvPointFloat pPoint, pCvVoronoiSite pSite);
   1190 
   1191 /*--------------------------------------------------------------------------
   1192     Author      : Andrey Sobolev
   1193     Description : Function computes the distance between two points
   1194     Arguments
   1195     pPoint1,pPoint2 : in, two points
   1196       Return    : distance
   1197     --------------------------------------------------------------------------*/
   1198 CV_INLINE
   1199 float _cvPPDist(pCvPointFloat pPoint1,pCvPointFloat pPoint2);
   1200 
   1201 /*--------------------------------------------------------------------------
   1202     Author      : Andrey Sobolev
   1203     Description : Function computes the distance betwin point and
   1204                     segment. Internal function.
   1205     Arguments
   1206           pPoint: in, point
   1207     pPoint1,pPoint2 : in, segment [pPoint1,pPoint2]
   1208        Return   : distance
   1209     --------------------------------------------------------------------------*/
   1210 CV_INLINE
   1211 float _cvPLDist(pCvPointFloat pPoint,pCvPointFloat pPoint1,pCvDirection pDirection);
   1212 
   1213 /*--------------------------------------------------------------------------
   1214     Author      : Andrey Sobolev
   1215     Description : Function solves the squar equation with real coefficients
   1216                     T - float or double
   1217     Arguments
   1218      c2,c1,c0: in, real coefficients of polynom
   1219                X: out, array of roots
   1220      Return     : number of roots
   1221     --------------------------------------------------------------------------*/
   1222 template <class T>
   1223 int _cvSolveEqu2thR(T c2, T c1, T c0, T* X);
   1224 
   1225 /*--------------------------------------------------------------------------
   1226     Author      : Andrey Sobolev
   1227     Description : Function solves the linear equation with real or complex coefficients
   1228                     T - float or double or complex
   1229     Arguments
   1230         c1,c0: in, real or complex coefficients of polynom
   1231                X: out, array of roots
   1232      Return     : number of roots
   1233     --------------------------------------------------------------------------*/
   1234 template <class T> CV_INLINE
   1235 int _cvSolveEqu1th(T c1, T c0, T* X);
   1236 
   1237 /****************************************************************************************\
   1238 *                             Storage Block Increase                                    *
   1239 \****************************************************************************************/
   1240 /*--------------------------------------------------------------------------
   1241     Author      : Andrey Sobolev
   1242     Description : For each sequence function creates the memory block sufficient to store
   1243                   all elements of sequnce
   1244     Arguments
   1245         pVoronoiDiagramInt: in, pointer to struct, which contains the
   1246                             description of Voronoi Diagram.
   1247         vertices_number: in, number of vertices in polygon
   1248      Return     :
   1249     --------------------------------------------------------------------------*/
   1250 void _cvSetSeqBlockSize(CvVoronoiDiagramInt* pVoronoiDiagramInt,int vertices_number)
   1251 {
   1252     int N = 2*vertices_number;
   1253     cvSetSeqBlockSize(pVoronoiDiagramInt->SiteSeq,N*pVoronoiDiagramInt->SiteSeq->elem_size);
   1254     cvSetSeqBlockSize(pVoronoiDiagramInt->EdgeSeq,3*N*pVoronoiDiagramInt->EdgeSeq->elem_size);
   1255     cvSetSeqBlockSize(pVoronoiDiagramInt->NodeSeq,5*N*pVoronoiDiagramInt->NodeSeq->elem_size);
   1256     cvSetSeqBlockSize(pVoronoiDiagramInt->ParabolaSeq,N*pVoronoiDiagramInt->ParabolaSeq->elem_size);
   1257     cvSetSeqBlockSize(pVoronoiDiagramInt->DirectionSeq,3*N*pVoronoiDiagramInt->DirectionSeq->elem_size);
   1258     cvSetSeqBlockSize(pVoronoiDiagramInt->ChainSeq,N*pVoronoiDiagramInt->DirectionSeq->elem_size);
   1259     cvSetSeqBlockSize(pVoronoiDiagramInt->HoleSeq,100*pVoronoiDiagramInt->HoleSeq->elem_size);
   1260 }
   1261 
   1262 /****************************************************************************************\
   1263 *                                    Function realization                               *
   1264 \****************************************************************************************/
   1265 
   1266 
   1267 CV_IMPL int   cvVoronoiDiagramFromContour(CvSeq* ContourSeq,
   1268                                            CvVoronoiDiagram2D** VoronoiDiagram,
   1269                                            CvMemStorage* VoronoiStorage,
   1270                                            CvLeeParameters contour_type,
   1271                                            int contour_orientation,
   1272                                            int attempt_number)
   1273 {
   1274     CV_FUNCNAME( "cvVoronoiDiagramFromContour" );
   1275 
   1276     __BEGIN__;
   1277 
   1278     CvSet* SiteSeq = NULL;
   1279     CvSeq* CurContourSeq = NULL;
   1280     CvVoronoiDiagramInt VoronoiDiagramInt;
   1281     CvSeqWriter NodeWriter, EdgeWriter;
   1282     CvMemStorage* storage;
   1283 
   1284     memset( &VoronoiDiagramInt, 0, sizeof(VoronoiDiagramInt) );
   1285 
   1286     if( !ContourSeq )
   1287         CV_ERROR( CV_StsBadArg,"Contour sequence is empty" );
   1288 
   1289     if(!VoronoiStorage)
   1290         CV_ERROR( CV_StsBadArg,"Storage is not initialized" );
   1291 
   1292     if( contour_type < 0 || contour_type > 2)
   1293         CV_ERROR( CV_StsBadArg,"Unsupported parameter: type" );
   1294 
   1295     if( contour_orientation != 1 &&  contour_orientation != -1)
   1296         CV_ERROR( CV_StsBadArg,"Unsupported parameter: orientation" );
   1297 
   1298     storage = cvCreateChildMemStorage(VoronoiStorage);
   1299     (*VoronoiDiagram) = (CvVoronoiDiagram2D*)cvCreateSet(0,sizeof(CvVoronoiDiagram2D),sizeof(CvVoronoiNode2D), storage);
   1300     storage = cvCreateChildMemStorage(VoronoiStorage);
   1301     (*VoronoiDiagram)->edges = cvCreateSet(0,sizeof(CvSet),sizeof(CvVoronoiEdge2D), storage);
   1302     cvStartAppendToSeq((CvSeq*)(*VoronoiDiagram)->edges, &EdgeWriter);
   1303     cvStartAppendToSeq((CvSeq*)(*VoronoiDiagram), &NodeWriter);
   1304 
   1305         for(CurContourSeq = ContourSeq;\
   1306             CurContourSeq != NULL;\
   1307             CurContourSeq = CurContourSeq->h_next)
   1308         {
   1309             if(_cvLee(CurContourSeq, &VoronoiDiagramInt,VoronoiStorage,contour_type,contour_orientation,attempt_number))
   1310 
   1311             {
   1312                 if(!_cvConvert(*VoronoiDiagram,VoronoiDiagramInt,SiteSeq,NodeWriter,EdgeWriter,VoronoiStorage,contour_orientation))
   1313                     goto exit;
   1314             }
   1315             else if(CurContourSeq->total >= 3)
   1316                 goto exit;
   1317         }
   1318 
   1319         cvEndWriteSeq(&EdgeWriter);
   1320         cvEndWriteSeq(&NodeWriter);
   1321         if(SiteSeq != NULL)
   1322             return 1;
   1323 
   1324 
   1325     __END__;
   1326     return 0;
   1327 }//end of cvVoronoiDiagramFromContour
   1328 
   1329 CV_IMPL int   cvVoronoiDiagramFromImage(IplImage* pImage,
   1330                                          CvSeq** ContourSeq,
   1331                                          CvVoronoiDiagram2D** VoronoiDiagram,
   1332                                          CvMemStorage* VoronoiStorage,
   1333                                          CvLeeParameters regularization_method,
   1334                                          float approx_precision)
   1335 {
   1336     CV_FUNCNAME( "cvVoronoiDiagramFromContour" );
   1337     int RESULT = 0;
   1338 
   1339     __BEGIN__;
   1340 
   1341     IplImage* pWorkImage = NULL;
   1342     CvSize image_size;
   1343     int i, multiplicator = 3;
   1344 
   1345     int approx_method;
   1346     CvMemStorage* ApproxContourStorage = NULL;
   1347     CvSeq* ApproxContourSeq = NULL;
   1348 
   1349     if( !ContourSeq )
   1350         CV_ERROR( CV_StsBadArg,"Contour sequence is not initialized" );
   1351 
   1352     if( (*ContourSeq)->total != 0)
   1353         CV_ERROR( CV_StsBadArg,"Contour sequence is not empty" );
   1354 
   1355     if(!VoronoiStorage)
   1356         CV_ERROR( CV_StsBadArg,"Storage is not initialized" );
   1357 
   1358     if(!pImage)
   1359         CV_ERROR( CV_StsBadArg,"Image is not initialized" );
   1360 
   1361     if(pImage->nChannels != 1 || pImage->depth != 8)
   1362         CV_ERROR( CV_StsBadArg,"Unsupported image format" );
   1363 
   1364     if(approx_precision<0 && approx_precision != CV_LEE_AUTO)
   1365         CV_ERROR( CV_StsBadArg,"Unsupported presision value" );
   1366 
   1367     switch(regularization_method)
   1368     {
   1369         case CV_LEE_ERODE:  image_size.width = pImage->width;
   1370                             image_size.height = pImage->height;
   1371                             pWorkImage = cvCreateImage(image_size,8,1);
   1372                             cvErode(pImage,pWorkImage,0,1);
   1373                             approx_method = CV_CHAIN_APPROX_TC89_L1;
   1374                             break;
   1375         case CV_LEE_ZOOM:   image_size.width = multiplicator*pImage->width;
   1376                             image_size.height = multiplicator*pImage->height;
   1377                             pWorkImage = cvCreateImage(image_size,8,1);
   1378                             cvResize(pImage, pWorkImage, CV_INTER_NN);
   1379                             approx_method = CV_CHAIN_APPROX_TC89_L1;
   1380                             break;
   1381         case CV_LEE_NON:    pWorkImage = pImage;
   1382                             approx_method = CV_CHAIN_APPROX_TC89_L1;
   1383                             break;
   1384         default:            CV_ERROR( CV_StsBadArg,"Unsupported regularisation method" );
   1385                             break;
   1386 
   1387     }
   1388 
   1389     cvFindContours(pWorkImage, (*ContourSeq)->storage, ContourSeq, \
   1390                             sizeof(CvContour), CV_RETR_CCOMP, approx_method );
   1391 
   1392     if(pWorkImage && pWorkImage != pImage )
   1393         cvReleaseImage(&pWorkImage);
   1394 
   1395     ApproxContourStorage = cvCreateMemStorage(0);
   1396     if(approx_precision > 0)
   1397     {
   1398         ApproxContourSeq = cvApproxPoly(*ContourSeq, sizeof(CvContour), ApproxContourStorage,\
   1399                                         CV_POLY_APPROX_DP,approx_precision,1);
   1400 
   1401         RESULT = cvVoronoiDiagramFromContour(ApproxContourSeq,VoronoiDiagram,VoronoiStorage,CV_LEE_INT,-1,10);
   1402     }
   1403     else if(approx_precision == CV_LEE_AUTO)
   1404     {
   1405         ApproxContourSeq = *ContourSeq;
   1406         for(i = 1; i < 50; i++)
   1407         {
   1408             RESULT = cvVoronoiDiagramFromContour(ApproxContourSeq,VoronoiDiagram,VoronoiStorage,CV_LEE_INT,-1,1);
   1409             if(RESULT)
   1410                 break;
   1411             ApproxContourSeq = cvApproxPoly(ApproxContourSeq, sizeof(CvContour),ApproxContourStorage,\
   1412                                             CV_POLY_APPROX_DP,(float)i,1);
   1413         }
   1414     }
   1415     else
   1416         RESULT = cvVoronoiDiagramFromContour(*ContourSeq,VoronoiDiagram,VoronoiStorage,CV_LEE_INT,-1,10);
   1417 /*
   1418     if(ApproxContourSeq)
   1419     {
   1420         cvClearMemStorage( (*ContourSeq)->storage );
   1421         *ContourSeq = cvCreateSeq(0,sizeof(CvSeq),sizeof(CvPoint),(*ContourSeq)->storage);
   1422         CvSeqReader reader;
   1423         CvSeqWriter writer;
   1424         CvPoint Point;
   1425         cvStartAppendToSeq(*ContourSeq, &writer);
   1426         cvStartReadSeq(ApproxContourSeq, &reader);
   1427         for(int i = 0;i < ApproxContourSeq->total;i++)
   1428         {
   1429             CV_READ_SEQ_ELEM(Point,reader);
   1430             Point.y = 600 - Point.y;
   1431             CV_WRITE_SEQ_ELEM(Point,writer);
   1432         }
   1433         cvEndWriteSeq(&writer);
   1434     }
   1435     */
   1436 
   1437     cvReleaseMemStorage(&ApproxContourStorage);
   1438 
   1439 
   1440     __END__;
   1441     return RESULT;
   1442 }//end of cvVoronoiDiagramFromImage
   1443 
   1444 CV_IMPL void cvReleaseVoronoiStorage(CvVoronoiDiagram2D* VoronoiDiagram,
   1445                                      CvMemStorage** pVoronoiStorage)
   1446 {
   1447     /*CV_FUNCNAME( "cvReleaseVoronoiStorage" );*/
   1448     __BEGIN__;
   1449 
   1450     CvSeq* Seq;
   1451 
   1452     if(VoronoiDiagram->storage)
   1453         cvReleaseMemStorage(&VoronoiDiagram->storage);
   1454     for(Seq = (CvSeq*)VoronoiDiagram->sites; Seq != NULL; Seq = Seq->h_next)
   1455         if(Seq->storage)
   1456             cvReleaseMemStorage(&Seq->storage);
   1457     for(Seq = (CvSeq*)VoronoiDiagram->edges; Seq != NULL; Seq = Seq->h_next)
   1458         if(Seq->storage)
   1459             cvReleaseMemStorage(&Seq->storage);
   1460 
   1461     if(*pVoronoiStorage)
   1462         cvReleaseMemStorage(pVoronoiStorage);
   1463 
   1464     __END__;
   1465 }//end of cvReleaseVoronoiStorage
   1466 
   1467 static int  _cvLee(CvSeq* ContourSeq,
   1468                     CvVoronoiDiagramInt* pVoronoiDiagramInt,
   1469                     CvMemStorage* VoronoiStorage,
   1470                     CvLeeParameters contour_type,
   1471                     int contour_orientation,
   1472                     int attempt_number)
   1473 {
   1474     //orientation = 1 for left coordinat system
   1475     //orientation = -1 for right coordinat system
   1476     if(ContourSeq->total<3)
   1477         return 0;
   1478 
   1479     int attempt = 0;
   1480     CvVoronoiStorageInt VoronoiStorageInt;
   1481 
   1482     srand((int)time(NULL));
   1483 
   1484 NEXTATTEMPT:
   1485     VoronoiStorageInt.SiteStorage = cvCreateChildMemStorage(VoronoiStorage);
   1486     VoronoiStorageInt.NodeStorage = cvCreateChildMemStorage(VoronoiStorage);
   1487     VoronoiStorageInt.EdgeStorage = cvCreateChildMemStorage(VoronoiStorage);
   1488     VoronoiStorageInt.ParabolaStorage = cvCreateMemStorage(0);
   1489     VoronoiStorageInt.ChainStorage = cvCreateMemStorage(0);
   1490     VoronoiStorageInt.DirectionStorage = cvCreateMemStorage(0);
   1491     VoronoiStorageInt.HoleStorage = cvCreateMemStorage(0);
   1492 
   1493     pVoronoiDiagramInt->SiteSeq = cvCreateSeq(0,sizeof(CvSeq),sizeof(CvVoronoiSiteInt),VoronoiStorageInt.SiteStorage);
   1494     pVoronoiDiagramInt->NodeSeq = cvCreateSeq(0,sizeof(CvSeq),sizeof(CvVoronoiNodeInt),VoronoiStorageInt.NodeStorage);
   1495     pVoronoiDiagramInt->EdgeSeq = cvCreateSeq(0,sizeof(CvSeq),sizeof(CvVoronoiEdgeInt),VoronoiStorageInt.EdgeStorage);
   1496     pVoronoiDiagramInt->ChainSeq  = cvCreateSeq(0,sizeof(CvSeq),sizeof(CvVoronoiChainInt),VoronoiStorageInt.ChainStorage);
   1497     pVoronoiDiagramInt->DirectionSeq = cvCreateSeq(0,sizeof(CvSeq),sizeof(CvDirection),VoronoiStorageInt.DirectionStorage);
   1498     pVoronoiDiagramInt->ParabolaSeq =  cvCreateSeq(0,sizeof(CvSeq),sizeof(CvVoronoiParabolaInt),VoronoiStorageInt.ParabolaStorage);
   1499     pVoronoiDiagramInt->HoleSeq =  cvCreateSeq(0,sizeof(CvSeq),sizeof(CvVoronoiHoleInt),VoronoiStorageInt.HoleStorage);
   1500 
   1501     _cvSetSeqBlockSize(pVoronoiDiagramInt,ContourSeq->total);
   1502 
   1503     if(!_cvConstuctSites(ContourSeq, pVoronoiDiagramInt, contour_type,contour_orientation))
   1504     {
   1505         attempt = attempt_number;
   1506         goto FAULT;
   1507     }
   1508     _cvRandomModification(pVoronoiDiagramInt, 0,pVoronoiDiagramInt->NodeSeq->total,0.2f);
   1509 
   1510     if(!_cvConstructChains(pVoronoiDiagramInt))
   1511     {
   1512         attempt = attempt_number;
   1513         goto FAULT;
   1514     }
   1515 
   1516     if(!_cvConstructSkeleton(pVoronoiDiagramInt))
   1517         goto FAULT;
   1518 
   1519     _cvConstructSiteTree(pVoronoiDiagramInt);
   1520 
   1521 //SUCCESS:
   1522     _cvReleaseVoronoiStorage(&VoronoiStorageInt,0,1);
   1523     return 1;
   1524 
   1525 FAULT:
   1526     _cvReleaseVoronoiStorage(&VoronoiStorageInt,1,1);
   1527     if(++attempt < attempt_number)
   1528         goto NEXTATTEMPT;
   1529 
   1530     return 0;
   1531 }// end of _cvLee
   1532 
   1533 static int _cvConstuctSites(CvSeq* ContourSeq,
   1534                             CvVoronoiDiagramInt* pVoronoiDiagram,
   1535                             CvLeeParameters contour_type,
   1536                             int contour_orientation)
   1537 {
   1538     pVoronoiDiagram->reflex_site = NULL;
   1539     pVoronoiDiagram->top_hole = NULL;
   1540     int result = 0;
   1541 
   1542     switch(contour_type)
   1543     {
   1544         case CV_LEE_INT :    result = _cvConstructExtSites(pVoronoiDiagram,ContourSeq,contour_orientation,(int)1);
   1545                              break;
   1546         case CV_LEE_FLOAT :  result = _cvConstructExtSites(pVoronoiDiagram,ContourSeq,contour_orientation,(float)1);
   1547                              break;
   1548         case CV_LEE_DOUBLE : result = _cvConstructExtSites(pVoronoiDiagram,ContourSeq,contour_orientation,(double)1);
   1549                              break;
   1550         default:             return 0;
   1551     }
   1552 
   1553     if(!result)
   1554         return 0;
   1555 
   1556     CvSeq* CurSiteSeq;
   1557     CvVoronoiHoleInt Hole = {NULL,NULL,NULL,NULL,NULL,NULL,NULL,false,0};
   1558     pCvVoronoiSite pTopSite = 0;
   1559     for(CvSeq* CurContourSeq = ContourSeq->v_next;\
   1560         CurContourSeq != NULL;\
   1561         CurContourSeq = CurContourSeq->h_next)
   1562     {
   1563         if(CurContourSeq->total == 0)
   1564             continue;
   1565 
   1566         CurSiteSeq = cvCreateSeq(0,sizeof(CvSeq),sizeof(CvVoronoiSiteInt),pVoronoiDiagram->SiteSeq->storage);
   1567         switch(contour_type)
   1568         {
   1569             case CV_LEE_INT :   result = _cvConstructIntSites(pVoronoiDiagram,CurSiteSeq,CurContourSeq,pTopSite,contour_orientation,(int)1);
   1570                                 break;
   1571             case CV_LEE_FLOAT : result = _cvConstructIntSites(pVoronoiDiagram,CurSiteSeq,CurContourSeq,pTopSite,contour_orientation,(float)1);
   1572                                 break;
   1573             case CV_LEE_DOUBLE :result = _cvConstructIntSites(pVoronoiDiagram,CurSiteSeq,CurContourSeq,pTopSite,contour_orientation,(double)1);
   1574                                 break;
   1575             default:            result = 0;
   1576         }
   1577         if(!result)
   1578             continue;
   1579 
   1580         Hole.SiteSeq = CurSiteSeq;
   1581         Hole.site_top = pTopSite;
   1582         Hole.x_coord = pTopSite->node1->node.x;
   1583         Hole.error = false;
   1584         _cvSeqPushInOrder(pVoronoiDiagram, &Hole);
   1585     }
   1586     return 1;
   1587 }//end of _cvConstuctSites
   1588 
   1589 static int _cvConstructChains(CvVoronoiDiagramInt* pVoronoiDiagram)
   1590 {
   1591     if(!_cvConstructExtChains(pVoronoiDiagram))
   1592         return 0;
   1593 
   1594     CvSeq* CurrChainSeq;
   1595     for(pCvVoronoiHole pHole = pVoronoiDiagram->top_hole;\
   1596         pHole != NULL; \
   1597         pHole = pHole->next_hole)
   1598         {
   1599             pHole->error = false;
   1600             CurrChainSeq = cvCreateSeq(0,sizeof(CvSeq),sizeof(CvVoronoiChainInt),pVoronoiDiagram->ChainSeq->storage);
   1601             _cvConstructIntChains(pVoronoiDiagram,CurrChainSeq,pHole->SiteSeq,pHole->site_top);
   1602             pHole->ChainSeq = CurrChainSeq;
   1603         }
   1604     return 1;
   1605 }//end of _cvConstructChains
   1606 
   1607 static int _cvConstructSkeleton(CvVoronoiDiagramInt* pVoronoiDiagram)
   1608 {
   1609     if(!_cvConstructExtVD(pVoronoiDiagram))
   1610         return 0;
   1611     _cvConstructIntVD(pVoronoiDiagram);
   1612     _cvFindNearestSite(pVoronoiDiagram);
   1613 
   1614     float dx,dy;
   1615     int result;
   1616     for(pCvVoronoiHole pHole = pVoronoiDiagram->top_hole;\
   1617         pHole != NULL; pHole = pHole->next_hole)
   1618     {
   1619         if(pHole->error)
   1620             continue;
   1621         dx = pHole->node->node.x - pHole->site_top->node1->node.x;
   1622         dy = pHole->node->node.y - pHole->site_top->node1->node.y;
   1623 
   1624         if(fabs(dy) < 0.01 && dx < 0)
   1625             pHole->site_opposite = pHole->site_nearest;
   1626         else
   1627         {
   1628             if(dy > 0)
   1629                 result = _cvFindOppositSiteCCW(pHole,pVoronoiDiagram);
   1630             else
   1631                 result = _cvFindOppositSiteCW(pHole,pVoronoiDiagram);
   1632 
   1633             if(!result)
   1634             {
   1635                 pHole->error = true;
   1636                 continue;
   1637             }
   1638         }
   1639 
   1640         if(!_cvMergeVD(pHole,pVoronoiDiagram))
   1641             return 0;
   1642     }
   1643     return 1;
   1644 }//end of _cvConstructSkeleton
   1645 
   1646 static void _cvConstructSiteTree(CvVoronoiDiagramInt* pVoronoiDiagram)
   1647 {
   1648     CvSeq* CurSeq = pVoronoiDiagram->SiteSeq;
   1649     for(pCvVoronoiHole pHole = pVoronoiDiagram->top_hole;\
   1650         pHole != NULL; pHole = pHole->next_hole)
   1651     {
   1652         if(pHole->error)
   1653             continue;
   1654         if(CurSeq == pVoronoiDiagram->SiteSeq)
   1655         {
   1656             CurSeq->v_next = pHole->SiteSeq;
   1657             pHole->SiteSeq->v_prev = CurSeq;
   1658         }
   1659         else
   1660         {
   1661             CurSeq->h_next = pHole->SiteSeq;
   1662             pHole->SiteSeq->h_prev = CurSeq;
   1663             pHole->SiteSeq->v_prev = pVoronoiDiagram->SiteSeq;
   1664         }
   1665         CurSeq = pHole->SiteSeq;
   1666     }
   1667     CurSeq->h_next = NULL;
   1668 }//end of _cvConstructSiteTree
   1669 
   1670 static void _cvRandomModification(CvVoronoiDiagramInt* pVoronoiDiagram, int begin, int end, float shift)
   1671 {
   1672     CvSeqReader Reader;
   1673     pCvVoronoiNode pNode;
   1674     const float rnd_const = shift/RAND_MAX;
   1675     int i;
   1676 
   1677     cvStartReadSeq(pVoronoiDiagram->NodeSeq, &Reader,0);
   1678     for( i = begin; i < end; i++)
   1679     {
   1680         pNode = (pCvVoronoiNode)Reader.ptr;
   1681         pNode->node.x = (float)cvFloor(pNode->node.x) + rand()*rnd_const;
   1682         pNode->node.y = (float)cvFloor(pNode->node.y) + rand()*rnd_const;
   1683         CV_NEXT_SEQ_ELEM( sizeof(CvVoronoiNodeInt), Reader );
   1684     }
   1685 
   1686     for(pCvVoronoiHole pHole = pVoronoiDiagram->top_hole;\
   1687         pHole != NULL;\
   1688         pHole = pHole->next_hole)
   1689     {
   1690         pHole->site_top->node1->node.x = (float)cvFloor(pHole->site_top->node1->node.x);
   1691     }
   1692 
   1693 }//end of _cvRandomModification
   1694 
   1695 static void _cvReleaseVoronoiStorage(CvVoronoiStorageInt* pVoronoiStorage, int group1, int group2)
   1696 {
   1697     //if group1 = 1 then SiteSeq, NodeSeq, EdgeSeq released
   1698     //if group2 = 1 then DirectionSeq, ParabolaSeq, ChainSeq, HoleSeq released
   1699     if(group1 == 1)
   1700     {
   1701         if(pVoronoiStorage->SiteStorage!=NULL)
   1702             cvReleaseMemStorage(&pVoronoiStorage->SiteStorage);
   1703         if(pVoronoiStorage->EdgeStorage!=NULL)
   1704             cvReleaseMemStorage(&pVoronoiStorage->EdgeStorage);
   1705         if(pVoronoiStorage->NodeStorage!=NULL)
   1706             cvReleaseMemStorage(&pVoronoiStorage->NodeStorage);
   1707     }
   1708     if(group2 == 1)
   1709     {
   1710         if(pVoronoiStorage->ParabolaStorage!=NULL)
   1711             cvReleaseMemStorage(&pVoronoiStorage->ParabolaStorage);
   1712         if(pVoronoiStorage->ChainStorage!=NULL)
   1713             cvReleaseMemStorage(&pVoronoiStorage->ChainStorage);
   1714         if(pVoronoiStorage->DirectionStorage!=NULL)
   1715             cvReleaseMemStorage(&pVoronoiStorage->DirectionStorage);
   1716         if(pVoronoiStorage->HoleStorage != NULL)
   1717             cvReleaseMemStorage(&pVoronoiStorage->HoleStorage);
   1718     }
   1719 }// end of _cvReleaseVoronoiStorage
   1720 
   1721 static int _cvConvert(CvVoronoiDiagram2D* VoronoiDiagram,
   1722                        CvVoronoiDiagramInt VoronoiDiagramInt,
   1723                        CvSet* &SiteSeq,
   1724                        CvSeqWriter &NodeWriter,
   1725                        CvSeqWriter &EdgeWriter,
   1726                        CvMemStorage* VoronoiStorage,
   1727                        int contour_orientation)
   1728 {
   1729     if(contour_orientation == 1)
   1730         return _cvConvertSameOrientation(VoronoiDiagram,VoronoiDiagramInt,SiteSeq,NodeWriter,
   1731                                         EdgeWriter,VoronoiStorage);
   1732     else
   1733         return _cvConvertChangeOrientation(VoronoiDiagram,VoronoiDiagramInt,SiteSeq,NodeWriter,
   1734                                         EdgeWriter,VoronoiStorage);
   1735 }// end of _cvConvert
   1736 
   1737 static int _cvConvertSameOrientation(CvVoronoiDiagram2D* VoronoiDiagram,
   1738                                       CvVoronoiDiagramInt VoronoiDiagramInt,
   1739                                       CvSet* &NewSiteSeqPrev,
   1740                                       CvSeqWriter &NodeWriter,
   1741                                       CvSeqWriter &EdgeWriter,
   1742                                       CvMemStorage* VoronoiStorage)
   1743 {
   1744     CvSeq* SiteSeq = VoronoiDiagramInt.SiteSeq;
   1745     CvSeq* EdgeSeq = VoronoiDiagramInt.EdgeSeq;
   1746     CvSeq* NodeSeq = VoronoiDiagramInt.NodeSeq;
   1747 
   1748 
   1749     CvMemStorage *NewSiteStorage = cvCreateChildMemStorage(VoronoiStorage);
   1750     CvSet *NewSiteSeq = NULL,*CurrNewSiteSeq = NULL, *PrevNewSiteSeq = NULL;;
   1751     CvSeqWriter SiteWriter;
   1752 
   1753     CvVoronoiSite2D NewSite = {{0,0},{0,0},{0,0}},NewSite_prev;
   1754     CvVoronoiSite2D *pNewSite, *pNewSite_prev = &NewSite_prev;
   1755     pCvVoronoiSite pSite,pFirstSite;
   1756 
   1757     CvVoronoiEdge2D NewEdge = {{0,0},{0,0},{0,0,0,0}};
   1758     CvVoronoiEdge2D *pNewEdge1, *pNewEdge2;
   1759     pCvVoronoiEdge pEdge;
   1760 
   1761     CvVoronoiNode2D* pNode1, *pNode2;
   1762     CvVoronoiNode2D Node;
   1763     Node.next_free = NULL;
   1764 
   1765     for(CvSeq* CurrSiteSeq = SiteSeq;\
   1766         CurrSiteSeq != NULL;\
   1767         CurrSiteSeq = NEXT_SEQ(CurrSiteSeq,SiteSeq))
   1768     {
   1769         CurrNewSiteSeq = cvCreateSet(0,sizeof(CvSet),sizeof(CvVoronoiSite2D), NewSiteStorage);
   1770         if(!NewSiteSeq)
   1771             NewSiteSeq = PrevNewSiteSeq = CurrNewSiteSeq;
   1772         else if(PrevNewSiteSeq->v_prev == NULL)
   1773         {
   1774             PrevNewSiteSeq->v_next = (CvSeq*)CurrNewSiteSeq;
   1775             CurrNewSiteSeq->v_prev = (CvSeq*)PrevNewSiteSeq;
   1776         }
   1777         else
   1778         {
   1779             PrevNewSiteSeq->h_next = (CvSeq*)CurrNewSiteSeq;
   1780             CurrNewSiteSeq->h_prev = (CvSeq*)PrevNewSiteSeq;
   1781             CurrNewSiteSeq->v_prev = (CvSeq*)PrevNewSiteSeq->v_prev;
   1782         }
   1783         PrevNewSiteSeq = CurrNewSiteSeq;
   1784 
   1785         pSite = pFirstSite = (pCvVoronoiSite)cvGetSeqElem(CurrSiteSeq, 0);
   1786         while(pSite->prev_site->node1 == pSite->prev_site->node2)\
   1787             pSite = pSite->next_site;
   1788         pFirstSite = pSite;
   1789 
   1790         pNewSite_prev = &NewSite_prev;
   1791         cvStartAppendToSeq((CvSeq*)CurrNewSiteSeq, &SiteWriter);
   1792         do
   1793         {
   1794             pNewSite = _cvWriteSeqElem(&NewSite,SiteWriter);
   1795             pNewSite->next[0] = pNewSite_prev;
   1796             pNewSite_prev->next[1] = pNewSite;
   1797             pEdge = pSite->edge1;
   1798             if(!pEdge || !pEdge->node1 || !pEdge->node2)
   1799                 return 0;
   1800 
   1801             if(pEdge->site == NULL)
   1802             {
   1803                 pNewEdge1 = (CvVoronoiEdge2D*)pEdge->twin_edge;
   1804                 pNewEdge1->site[1] = pNewSite;
   1805                 pNewSite->node[0] = pNewEdge1->node[0];
   1806             }
   1807             else
   1808             {
   1809                 pNewEdge1 = _cvWriteSeqElem(&NewEdge,EdgeWriter);
   1810                 pNewEdge1->site[0] = pNewSite;
   1811 
   1812                 pNode1 = _cvWriteSeqElem(&Node,NodeWriter);
   1813                 pNode2 = _cvWriteSeqElem(&Node,NodeWriter);
   1814                 pNode1->pt.x = pEdge->node1->node.x;
   1815                 pNode1->pt.y = pEdge->node1->node.y;
   1816                 pNode1->radius = pEdge->node1->radius;
   1817                 pNode2->pt.x = pEdge->node2->node.x;
   1818                 pNode2->pt.y = pEdge->node2->node.y;
   1819                 pNode2->radius = pEdge->node2->radius;
   1820                 pNewEdge1->node[0] = pNode1;
   1821                 pNewEdge1->node[1] = pNode2;
   1822 
   1823                 pNewSite->node[0] = pNewEdge1->node[1];
   1824 
   1825                 if(!pNewEdge1->node[0] || !pNewEdge1->node[1])
   1826                     return 0;
   1827                 pEdge->twin_edge->site = NULL;
   1828                 pEdge->twin_edge->twin_edge = (pCvVoronoiEdge)pNewEdge1;
   1829             }
   1830             pNewSite->edge[1] = pNewEdge1;
   1831             pEdge = pEdge->prev_edge;
   1832             while((pEdge != NULL && CurrSiteSeq->total>1) ||
   1833                   (pEdge != pSite->edge2 && CurrSiteSeq->total == 1))
   1834             {
   1835                 if(pEdge->site == NULL)
   1836                 {
   1837                     pNewEdge2 = (CvVoronoiEdge2D*)pEdge->twin_edge;
   1838                     pNewEdge2->site[1] = pNewSite;
   1839                     if(CV_VORONOIEDGE2D_BEGINNODE(pNewEdge1,pNewSite) != pNewEdge2->node[0])
   1840                     {
   1841                         cvFlushSeqWriter(&NodeWriter);
   1842 //                      cvSetRemove((CvSet*)VoronoiDiagram,VoronoiDiagram->total-1);
   1843                         pNewEdge1->node[0] = pNewEdge2->node[0];
   1844                     }
   1845                 }
   1846                 else
   1847                 {
   1848                     pNewEdge2 = _cvWriteSeqElem(&NewEdge,EdgeWriter);
   1849                     pNewEdge2->site[0] = pNewSite;
   1850 
   1851                     pNode1 = _cvWriteSeqElem(&Node,NodeWriter);
   1852                     pNode1->pt.x = pEdge->node1->node.x;
   1853                     pNode1->pt.y = pEdge->node1->node.y;
   1854                     pNode1->radius = pEdge->node1->radius;
   1855                     pNewEdge2->node[0] = pNode1;
   1856 
   1857                     if(pNewEdge1->site[0] == pNewSite)
   1858                         pNewEdge2->node[1] = pNewEdge1->node[0];
   1859                     else
   1860                         pNewEdge2->node[1] = pNewEdge1->node[1];
   1861 
   1862                     if(!pNewEdge1->node[0] || !pNewEdge1->node[1])
   1863                         return 0;
   1864                     pEdge->twin_edge->site = NULL;
   1865                     pEdge->twin_edge->twin_edge = (pCvVoronoiEdge)pNewEdge2;
   1866                 }
   1867                 if(pNewEdge1->site[0] == pNewSite)
   1868                     pNewEdge1->next[2] = pNewEdge2;
   1869                 else
   1870                     pNewEdge1->next[3] = pNewEdge2;
   1871 
   1872                 if(pNewEdge2->site[0] == pNewSite)
   1873                     pNewEdge2->next[0] = pNewEdge1;
   1874                 else
   1875                     pNewEdge2->next[1] = pNewEdge1;
   1876 
   1877                 pEdge = pEdge->prev_edge;
   1878                 pNewEdge1 = pNewEdge2;
   1879             }
   1880             pNewSite->edge[0] = pNewEdge1;
   1881             pNewSite->node[1] = pNewEdge1->node[0];
   1882 
   1883             if(pSite->node1 == pSite->node2 && pSite != pSite->next_site && pNewEdge1->node[0] != pNewEdge1->node[1])
   1884             {
   1885                 cvFlushSeqWriter(&NodeWriter);
   1886 //              cvSetRemove((CvSet*)VoronoiDiagram,VoronoiDiagram->total-1);
   1887                 pNewSite->node[1] = pNewEdge1->node[0] = pNewSite->node[0];
   1888             }
   1889 
   1890             pNewSite_prev = pNewSite;
   1891             pSite = pSite->next_site;
   1892         }while(pSite != pFirstSite);
   1893         pNewSite->node[1] = pNewEdge1->node[1];
   1894         if(pSite == pSite->next_site)
   1895         {
   1896             Node.pt.x = pSite->node1->node.x;
   1897             Node.pt.y = pSite->node1->node.y;
   1898             Node.radius = 0;
   1899             pNewSite->node[0] = pNewSite->node[1] = _cvWriteSeqElem(&Node,NodeWriter);
   1900         }
   1901 
   1902         cvEndWriteSeq(&SiteWriter);
   1903         pNewSite = (CvVoronoiSite2D*)cvGetSetElem(CurrNewSiteSeq, 0);
   1904         pNewSite->next[0] = pNewSite_prev;
   1905         pNewSite_prev->next[1] = pNewSite;
   1906     }
   1907 
   1908     cvReleaseMemStorage(&(SiteSeq->storage));
   1909     cvReleaseMemStorage(&(EdgeSeq->storage));
   1910     cvReleaseMemStorage(&(NodeSeq->storage));
   1911 
   1912     if(NewSiteSeqPrev == NULL)
   1913         VoronoiDiagram->sites = NewSiteSeq;
   1914     else
   1915     {
   1916         NewSiteSeqPrev->h_next = (CvSeq*)NewSiteSeq;
   1917         NewSiteSeq->h_prev = (CvSeq*)NewSiteSeqPrev;
   1918     }
   1919 
   1920     NewSiteSeqPrev = NewSiteSeq;
   1921     return 1;
   1922 }//end of _cvConvertSameOrientation
   1923 
   1924 static int _cvConvertChangeOrientation(CvVoronoiDiagram2D* VoronoiDiagram,
   1925                                         CvVoronoiDiagramInt VoronoiDiagramInt,
   1926                                         CvSet* &NewSiteSeqPrev,
   1927                                         CvSeqWriter &NodeWriter,
   1928                                         CvSeqWriter &EdgeWriter,
   1929                                         CvMemStorage* VoronoiStorage)
   1930 {
   1931     // pNewSite->edge[1] = pSite->edge2
   1932     // pNewSite->edge[0] = pSite->edge1
   1933 
   1934     CvSeq* SiteSeq = VoronoiDiagramInt.SiteSeq;
   1935     CvSeq* EdgeSeq = VoronoiDiagramInt.EdgeSeq;
   1936     CvSeq* NodeSeq = VoronoiDiagramInt.NodeSeq;
   1937 
   1938 
   1939     CvMemStorage *NewSiteStorage = cvCreateChildMemStorage(VoronoiStorage);
   1940     CvSet *NewSiteSeq = NULL,*CurrNewSiteSeq = NULL, *PrevNewSiteSeq = NULL;;
   1941     CvSeqWriter SiteWriter;
   1942 
   1943     CvVoronoiSite2D NewSite = {{0,0},{0,0},{0,0}},NewSite_prev;
   1944     CvVoronoiSite2D *pNewSite, *pNewSite_prev = &NewSite_prev;
   1945     pCvVoronoiSite pSite,pFirstSite;
   1946 
   1947     CvVoronoiEdge2D NewEdge = {{0,0},{0,0},{0,0,0,0}};
   1948     CvVoronoiEdge2D *pNewEdge1, *pNewEdge2;
   1949     pCvVoronoiEdge pEdge;
   1950 
   1951     CvVoronoiNode2D* pNode1, *pNode2;
   1952     CvVoronoiNode2D Node;
   1953     Node.next_free = NULL;
   1954 
   1955     for(CvSeq* CurrSiteSeq = SiteSeq;\
   1956         CurrSiteSeq != NULL;\
   1957         CurrSiteSeq = NEXT_SEQ(CurrSiteSeq,SiteSeq))
   1958     {
   1959         CurrNewSiteSeq = cvCreateSet(0,sizeof(CvSet),sizeof(CvVoronoiSite2D), NewSiteStorage);
   1960         if(!NewSiteSeq)
   1961             NewSiteSeq = PrevNewSiteSeq = CurrNewSiteSeq;
   1962         else if(PrevNewSiteSeq->v_prev == NULL)
   1963         {
   1964             PrevNewSiteSeq->v_next = (CvSeq*)CurrNewSiteSeq;
   1965             CurrNewSiteSeq->v_prev = (CvSeq*)PrevNewSiteSeq;
   1966         }
   1967         else
   1968         {
   1969             PrevNewSiteSeq->h_next = (CvSeq*)CurrNewSiteSeq;
   1970             CurrNewSiteSeq->h_prev = (CvSeq*)PrevNewSiteSeq;
   1971             CurrNewSiteSeq->v_prev = (CvSeq*)PrevNewSiteSeq->v_prev;
   1972         }
   1973         PrevNewSiteSeq = CurrNewSiteSeq;
   1974 
   1975         pSite = (pCvVoronoiSite)cvGetSeqElem(CurrSiteSeq, 0);
   1976         while(pSite->next_site->node1 == pSite->next_site->node2)\
   1977             pSite = pSite->next_site;
   1978         pFirstSite = pSite;
   1979 
   1980         pNewSite_prev = &NewSite_prev;
   1981         cvStartAppendToSeq((CvSeq*)CurrNewSiteSeq, &SiteWriter);
   1982         do
   1983         {
   1984             pNewSite = _cvWriteSeqElem(&NewSite,SiteWriter);
   1985             pNewSite->next[0] = pNewSite_prev;
   1986             pNewSite_prev->next[1] = pNewSite;
   1987 
   1988             pEdge = pSite->edge2;
   1989             if(!pEdge || !pEdge->node1 || !pEdge->node2)
   1990                 return 0;
   1991 
   1992             if(pEdge->site == NULL)
   1993             {
   1994                 pNewEdge1 = (CvVoronoiEdge2D*)pEdge->twin_edge;
   1995                 pNewEdge1->site[1] = pNewSite;
   1996                 pNewSite->node[0] = pNewEdge1->node[0];
   1997             }
   1998             else
   1999             {
   2000                 pNewEdge1 = _cvWriteSeqElem(&NewEdge,EdgeWriter);
   2001                 pNewEdge1->site[0] = pNewSite;
   2002 
   2003                 pNode1 = _cvWriteSeqElem(&Node,NodeWriter);
   2004                 pNode2 = _cvWriteSeqElem(&Node,NodeWriter);
   2005                 pNode1->pt.x = pEdge->node1->node.x;
   2006                 pNode1->pt.y = pEdge->node1->node.y;
   2007                 pNode1->radius = pEdge->node1->radius;
   2008                 pNode2->pt.x = pEdge->node2->node.x;
   2009                 pNode2->pt.y = pEdge->node2->node.y;
   2010                 pNode2->radius = pEdge->node2->radius;
   2011                 pNewEdge1->node[0] = pNode2;
   2012                 pNewEdge1->node[1] = pNode1;
   2013 
   2014                 pNewSite->node[0] = pNewEdge1->node[1];
   2015 
   2016                 if(!pNewEdge1->node[0] || !pNewEdge1->node[1])
   2017                     return 0;
   2018                 pEdge->twin_edge->site = NULL;
   2019                 pEdge->twin_edge->twin_edge = (pCvVoronoiEdge)pNewEdge1;
   2020             }
   2021             pNewSite->edge[1] = pNewEdge1;
   2022 
   2023 
   2024             pEdge = pEdge->next_edge;
   2025             while((pEdge != NULL && CurrSiteSeq->total>1) ||
   2026                   (pEdge != pSite->edge1 && CurrSiteSeq->total == 1))
   2027             {
   2028                 if(pEdge->site == NULL)
   2029                 {
   2030                     pNewEdge2 = (CvVoronoiEdge2D*)pEdge->twin_edge;
   2031                     pNewEdge2->site[1] = pNewSite;
   2032                     if(CV_VORONOIEDGE2D_BEGINNODE(pNewEdge1,pNewSite) != pNewEdge2->node[0])
   2033                     {
   2034                         cvFlushSeqWriter(&NodeWriter);
   2035 //                      cvSetRemove((CvSet*)VoronoiDiagram,VoronoiDiagram->total-1);
   2036                         pNewEdge1->node[0] = pNewEdge2->node[0];
   2037                     }
   2038                 }
   2039                 else
   2040                 {
   2041                     pNewEdge2 = _cvWriteSeqElem(&NewEdge,EdgeWriter);
   2042                     pNewEdge2->site[0] = pNewSite;
   2043 
   2044                     pNode2 = _cvWriteSeqElem(&Node,NodeWriter);
   2045                     pNode2->pt.x = pEdge->node2->node.x;
   2046                     pNode2->pt.y = pEdge->node2->node.y;
   2047                     pNode2->radius = pEdge->node2->radius;
   2048                     pNewEdge2->node[0] = pNode2;
   2049 
   2050                     if(pNewEdge1->site[0] == pNewSite)
   2051                         pNewEdge2->node[1] = pNewEdge1->node[0];
   2052                     else
   2053                         pNewEdge2->node[1] = pNewEdge1->node[1];
   2054 
   2055                     if(!pNewEdge1->node[0] || !pNewEdge1->node[1])
   2056                         return 0;
   2057                     pEdge->twin_edge->site = NULL;
   2058                     pEdge->twin_edge->twin_edge = (pCvVoronoiEdge)pNewEdge2;
   2059                 }
   2060                 if(pNewEdge1->site[0] == pNewSite)
   2061                     pNewEdge1->next[2] = pNewEdge2;
   2062                 else
   2063                     pNewEdge1->next[3] = pNewEdge2;
   2064 
   2065                 if(pNewEdge2->site[0] == pNewSite)
   2066                     pNewEdge2->next[0] = pNewEdge1;
   2067                 else
   2068                     pNewEdge2->next[1] = pNewEdge1;
   2069 
   2070                 pEdge = pEdge->next_edge;
   2071                 pNewEdge1 = pNewEdge2;
   2072             }
   2073             pNewSite->edge[0] = pNewEdge1;
   2074             pNewSite->node[1] = pNewEdge1->node[0];
   2075 
   2076             if(pSite->node1 == pSite->node2 && pSite != pSite->next_site && pNewEdge1->node[0] != pNewEdge1->node[1])
   2077             {
   2078                 cvFlushSeqWriter(&NodeWriter);
   2079 //              cvSetRemove((CvSet*)VoronoiDiagram,VoronoiDiagram->total-1);
   2080                 pNewSite->node[1] = pNewEdge1->node[0] = pNewSite->node[0];
   2081             }
   2082 
   2083             pNewSite_prev = pNewSite;
   2084             pSite = pSite->prev_site;
   2085         }while(pSite != pFirstSite);
   2086         pNewSite->node[1] = pNewEdge1->node[1];
   2087         if(pSite == pSite->next_site)
   2088         {
   2089             Node.pt.x = pSite->node1->node.x;
   2090             Node.pt.y = pSite->node1->node.y;
   2091             Node.radius = 0;
   2092             pNewSite->node[0] = pNewSite->node[1] = _cvWriteSeqElem(&Node,NodeWriter);
   2093         }
   2094 
   2095         cvEndWriteSeq(&SiteWriter);
   2096         pNewSite = (CvVoronoiSite2D*)cvGetSetElem(CurrNewSiteSeq, 0);
   2097         pNewSite->next[0] = pNewSite_prev;
   2098         pNewSite_prev->next[1] = pNewSite;
   2099     }
   2100 
   2101     cvReleaseMemStorage(&(SiteSeq->storage));
   2102     cvReleaseMemStorage(&(EdgeSeq->storage));
   2103     cvReleaseMemStorage(&(NodeSeq->storage));
   2104 
   2105     if(NewSiteSeqPrev == NULL)
   2106         VoronoiDiagram->sites = NewSiteSeq;
   2107     else
   2108     {
   2109         NewSiteSeqPrev->h_next = (CvSeq*)NewSiteSeq;
   2110         NewSiteSeq->h_prev = (CvSeq*)NewSiteSeqPrev;
   2111     }
   2112     NewSiteSeqPrev = NewSiteSeq;
   2113     return 1;
   2114 }//end of _cvConvert
   2115 
   2116 template<class T>
   2117 int _cvConstructExtSites(CvVoronoiDiagramInt* pVoronoiDiagram,
   2118                          CvSeq* ContourSeq,
   2119                          int orientation,
   2120                          T type)
   2121 {
   2122     const double angl_eps = 0.03;
   2123     CvSeq* SiteSeq = pVoronoiDiagram->SiteSeq;
   2124     CvSeq* NodeSeq = pVoronoiDiagram->NodeSeq;
   2125     //CvSeq* DirectionSeq = pVoronoiDiagram->DirectionSeq;
   2126     CvPointFloat Vertex1,Vertex2,Vertex3;
   2127     CvLeePoint<T> VertexT1,VertexT2,VertexT3;
   2128 
   2129     CvSeqReader ContourReader;
   2130     CvVoronoiSiteInt Site = {NULL,NULL,NULL,NULL,NULL,NULL,NULL};
   2131     CvVoronoiSiteInt SiteTemp = {NULL,NULL,NULL,NULL,NULL,NULL,NULL};
   2132     CvVoronoiNodeInt Node;
   2133     pCvVoronoiNode pNode1,pNode2;
   2134     pCvVoronoiSite pSite = &SiteTemp,pSite_prev = &SiteTemp;
   2135     pCvVoronoiSite pReflexSite = NULL;
   2136     int NReflexSite = 0;
   2137 
   2138     float delta_x_rc, delta_x_cl, delta_y_rc, delta_y_cl;
   2139     float norm_cl,norm_rc, mult_cl_rc;
   2140     float _sin, _cos;
   2141     int i;
   2142 
   2143     if(orientation == 1)
   2144     {
   2145         cvStartReadSeq(ContourSeq, &ContourReader,0);
   2146         CV_READ_SEQ_ELEM(VertexT1,ContourReader);
   2147         CV_READ_SEQ_ELEM(VertexT2,ContourReader);
   2148     }
   2149     else
   2150     {
   2151         cvStartReadSeq(ContourSeq, &ContourReader,1);
   2152         CV_REV_READ_SEQ_ELEM(VertexT1,ContourReader);
   2153         CV_REV_READ_SEQ_ELEM(VertexT2,ContourReader);
   2154     }
   2155 
   2156     Vertex1.x = (float)VertexT1.x;
   2157     Vertex1.y = (float)VertexT1.y;
   2158     Vertex2.x = (float)VertexT2.x;
   2159     Vertex2.y = (float)VertexT2.y;
   2160 
   2161     _cvInitVoronoiNode(&Node, &Vertex2);
   2162     pNode1 = _cvSeqPush(NodeSeq, &Node);
   2163 
   2164     delta_x_cl = Vertex2.x - Vertex1.x;
   2165     delta_y_cl = Vertex2.y - Vertex1.y;
   2166     norm_cl = (float)sqrt((double)delta_x_cl*delta_x_cl + delta_y_cl*delta_y_cl);
   2167 
   2168     for( i = 0;i<ContourSeq->total;i++)
   2169     {
   2170         if(orientation == 1)
   2171         {
   2172             CV_READ_SEQ_ELEM(VertexT3,ContourReader);
   2173         }
   2174         else
   2175         {
   2176             CV_REV_READ_SEQ_ELEM(VertexT3,ContourReader);
   2177         }
   2178 
   2179         Vertex3.x = (float)VertexT3.x;
   2180         Vertex3.y = (float)VertexT3.y;
   2181 
   2182         _cvInitVoronoiNode(&Node, &Vertex3);
   2183         pNode2 = _cvSeqPush(NodeSeq, &Node);
   2184 
   2185         delta_x_rc = Vertex3.x - Vertex2.x;
   2186         delta_y_rc = Vertex3.y - Vertex2.y;
   2187         norm_rc = (float)sqrt((double)delta_x_rc*delta_x_rc + delta_y_rc*delta_y_rc);
   2188         if(norm_rc==0)
   2189             continue;
   2190 
   2191         mult_cl_rc = norm_cl*norm_rc;
   2192         _sin = (delta_y_rc* delta_x_cl - delta_x_rc* delta_y_cl)/mult_cl_rc;
   2193         _cos = -(delta_x_cl*delta_x_rc + delta_y_cl*delta_y_rc)/mult_cl_rc;
   2194 
   2195         if((_sin > angl_eps) || (_sin > 0 && _cos > 0))
   2196         {
   2197             pSite = _cvSeqPush(SiteSeq, &Site);
   2198             _cvInitVoronoiSite(pSite,pNode1,pNode2,pSite_prev);
   2199             pSite_prev->next_site = pSite;
   2200         }
   2201         else if((_sin < -angl_eps) || (_sin < 0 && _cos > 0))
   2202         {
   2203             pSite = _cvSeqPush(SiteSeq, &Site);
   2204             _cvInitVoronoiSite(pSite,pNode1,pNode1,pSite_prev);
   2205             pReflexSite = pSite;
   2206             NReflexSite++;
   2207             pSite_prev->next_site = pSite;
   2208 
   2209             pSite_prev = pSite;
   2210             pSite = _cvSeqPush(SiteSeq, &Site);
   2211             _cvInitVoronoiSite(pSite,pNode1,pNode2,pSite_prev);
   2212             pSite_prev->next_site = pSite;
   2213         }
   2214         else
   2215         {
   2216             Vertex2 = Vertex3;
   2217             delta_y_rc = delta_y_cl + delta_y_rc;
   2218             delta_x_rc = delta_x_cl + delta_x_rc;
   2219             pSite->node2 = pNode2;
   2220 
   2221             norm_rc = (float)sqrt((double)delta_y_rc*delta_y_rc + delta_x_rc*delta_x_rc);
   2222         }
   2223         Vertex2=Vertex3;
   2224         delta_y_cl= delta_y_rc;
   2225         delta_x_cl= delta_x_rc;
   2226         norm_cl = norm_rc;
   2227         pSite_prev = pSite;
   2228         pNode1 = pNode2;
   2229     }
   2230 
   2231     if(SiteTemp.next_site==NULL)
   2232         return 0;
   2233 
   2234     if(ContourSeq->total - NReflexSite<2)
   2235         return 0;
   2236 
   2237     if(SiteSeq->total<3)
   2238         return 0;
   2239 
   2240     pSite->node2 = SiteTemp.next_site->node1;
   2241     pSite->next_site = SiteTemp.next_site;
   2242     SiteTemp.next_site->prev_site = pSite;
   2243 
   2244     i = 0;
   2245     if(pReflexSite!=NULL)
   2246         for(i=0; i<SiteSeq->total; i++)
   2247         {
   2248             if(pReflexSite->next_site->next_site->node1 !=
   2249               pReflexSite->next_site->next_site->node2)
   2250               break;
   2251             else
   2252                 pReflexSite = pReflexSite->next_site->next_site;
   2253         }
   2254     pVoronoiDiagram->reflex_site = pReflexSite;
   2255     return (i<SiteSeq->total);
   2256 }//end of _cvConstructExtSites
   2257 
   2258 template<class T>
   2259 int _cvConstructIntSites(CvVoronoiDiagramInt* pVoronoiDiagram,
   2260                                  CvSeq* CurrSiteSeq,
   2261                                  CvSeq* CurrContourSeq,
   2262                                  pCvVoronoiSite &pTopSite,
   2263                                  int orientation,
   2264                                  T type)
   2265 {
   2266     const double angl_eps = 0.03;
   2267     float min_x = (float)999999999;
   2268     CvSeq* SiteSeq = CurrSiteSeq;
   2269     CvSeq* NodeSeq = pVoronoiDiagram->NodeSeq;
   2270     //CvSeq* DirectionSeq = pVoronoiDiagram->DirectionSeq;
   2271     CvPointFloat Vertex1,Vertex2,Vertex3;
   2272     CvLeePoint<T> VertexT1,VertexT2,VertexT3;
   2273 
   2274     CvSeqReader ContourReader;
   2275     CvVoronoiSiteInt Site = {NULL,NULL,NULL,NULL,NULL,NULL,NULL};
   2276     CvVoronoiSiteInt SiteTemp = {NULL,NULL,NULL,NULL,NULL,NULL,NULL};
   2277     CvVoronoiNodeInt Node;
   2278     pCvVoronoiNode pNode1,pNode2;
   2279     pCvVoronoiSite pSite = &SiteTemp,pSite_prev = &SiteTemp;
   2280     pTopSite = NULL;
   2281     int NReflexSite = 0;
   2282 
   2283     if(CurrContourSeq->total == 1)
   2284     {
   2285         cvStartReadSeq(CurrContourSeq, &ContourReader,0);
   2286         CV_READ_SEQ_ELEM(VertexT1,ContourReader);
   2287         Vertex1.x = (float)VertexT1.x;
   2288         Vertex1.y = (float)VertexT1.y;
   2289 
   2290         _cvInitVoronoiNode(&Node, &Vertex1);
   2291         pNode1 = _cvSeqPush(NodeSeq, &Node);
   2292         pTopSite = pSite = _cvSeqPush(SiteSeq, &Site);
   2293         _cvInitVoronoiSite(pSite,pNode1,pNode1,pSite);
   2294         pSite->next_site = pSite;
   2295         return 1;
   2296     }
   2297 
   2298     float delta_x_rc, delta_x_cl, delta_y_rc, delta_y_cl;
   2299     float norm_cl,norm_rc, mult_cl_rc;
   2300     float _sin, _cos;
   2301     int i;
   2302 
   2303     if(orientation == 1)
   2304     {
   2305         cvStartReadSeq(CurrContourSeq, &ContourReader,0);
   2306         CV_READ_SEQ_ELEM(VertexT1,ContourReader);
   2307         CV_READ_SEQ_ELEM(VertexT2,ContourReader);
   2308     }
   2309     else
   2310     {
   2311         cvStartReadSeq(CurrContourSeq, &ContourReader,1);
   2312         CV_REV_READ_SEQ_ELEM(VertexT1,ContourReader);
   2313         CV_REV_READ_SEQ_ELEM(VertexT2,ContourReader);
   2314     }
   2315 
   2316     Vertex1.x = (float)VertexT1.x;
   2317     Vertex1.y = (float)VertexT1.y;
   2318     Vertex2.x = (float)VertexT2.x;
   2319     Vertex2.y = (float)VertexT2.y;
   2320 
   2321     _cvInitVoronoiNode(&Node, &Vertex2);
   2322     pNode1 = _cvSeqPush(NodeSeq, &Node);
   2323 
   2324     delta_x_cl = Vertex2.x - Vertex1.x;
   2325     delta_y_cl = Vertex2.y - Vertex1.y;
   2326     norm_cl = (float)sqrt((double)delta_x_cl*delta_x_cl + delta_y_cl*delta_y_cl);
   2327     for( i = 0;i<CurrContourSeq->total;i++)
   2328     {
   2329         if(orientation == 1)
   2330         {
   2331             CV_READ_SEQ_ELEM(VertexT3,ContourReader);
   2332         }
   2333         else
   2334         {
   2335             CV_REV_READ_SEQ_ELEM(VertexT3,ContourReader);
   2336         }
   2337         Vertex3.x = (float)VertexT3.x;
   2338         Vertex3.y = (float)VertexT3.y;
   2339 
   2340         _cvInitVoronoiNode(&Node, &Vertex3);
   2341         pNode2 = _cvSeqPush(NodeSeq, &Node);
   2342 
   2343         delta_x_rc = Vertex3.x - Vertex2.x;
   2344         delta_y_rc = Vertex3.y - Vertex2.y;
   2345         norm_rc = (float)sqrt((double)delta_x_rc*delta_x_rc + delta_y_rc*delta_y_rc);
   2346         if(norm_rc==0)
   2347             continue;
   2348 
   2349         mult_cl_rc = norm_cl*norm_rc;
   2350         _sin = (delta_y_rc* delta_x_cl - delta_x_rc* delta_y_cl)/mult_cl_rc;
   2351         _cos = -(delta_x_cl*delta_x_rc + delta_y_cl*delta_y_rc)/mult_cl_rc;
   2352         if((_sin > angl_eps) || (_sin > 0 && _cos > 0))
   2353         {
   2354             pSite = _cvSeqPush(SiteSeq, &Site);
   2355             _cvInitVoronoiSite(pSite,pNode1,pNode2,pSite_prev);
   2356             pSite_prev->next_site = pSite;
   2357         }
   2358         else if((_sin < -angl_eps) || (_sin < 0 && _cos > 0) || (_sin == 0 && CurrContourSeq->total == 2))
   2359         {
   2360             pSite = _cvSeqPush(SiteSeq, &Site);
   2361             _cvInitVoronoiSite(pSite,pNode1,pNode1,pSite_prev);
   2362             if(pNode1->node.x < min_x)
   2363             {
   2364                 min_x = pNode1->node.x;
   2365                 pTopSite = pSite;
   2366             }
   2367             NReflexSite++;
   2368             pSite_prev->next_site = pSite;
   2369 
   2370             pSite_prev = pSite;
   2371             pSite = _cvSeqPush(SiteSeq, &Site);
   2372             _cvInitVoronoiSite(pSite,pNode1,pNode2,pSite_prev);
   2373             pSite_prev->next_site = pSite;
   2374         }
   2375         else
   2376         {
   2377             Vertex2 = Vertex3;
   2378             delta_y_rc = delta_y_cl + delta_y_rc;
   2379             delta_x_rc = delta_x_cl + delta_x_rc;
   2380             norm_rc = (float)sqrt((double)delta_y_rc*delta_y_rc + delta_x_rc*delta_x_rc);
   2381             pSite->node2 = pNode2;
   2382         }
   2383 
   2384         Vertex1=Vertex2;
   2385         Vertex2=Vertex3;
   2386         delta_y_cl= delta_y_rc;
   2387         delta_x_cl= delta_x_rc;
   2388         norm_cl = norm_rc;
   2389         pSite_prev = pSite;
   2390         pNode1 = pNode2;
   2391     }
   2392 
   2393     if(SiteTemp.next_site==NULL)
   2394         return 0;
   2395 
   2396     if(NReflexSite < 3 && CurrContourSeq->total > 2 || NReflexSite < 2)
   2397         return 0;
   2398 
   2399     pSite->node2 = SiteTemp.next_site->node1;
   2400     pSite->next_site = SiteTemp.next_site;
   2401     SiteTemp.next_site->prev_site = pSite;
   2402 
   2403     return 1;
   2404 }//end of _cvConstructIntSites
   2405 
   2406 static int _cvConstructExtChains(CvVoronoiDiagramInt* pVoronoiDiagram)
   2407 {
   2408     CvSeq* SiteSeq = pVoronoiDiagram->SiteSeq;
   2409     CvSeq* ChainSeq = pVoronoiDiagram->ChainSeq;
   2410 
   2411     CvVoronoiChainInt Chain;
   2412     pCvVoronoiChain pChain,pChainFirst;
   2413     pCvVoronoiSite pSite, pSite_prev, pSiteFirst,pReflexSite = pVoronoiDiagram->reflex_site;
   2414 
   2415     if(pReflexSite==NULL)
   2416         pSite = pSiteFirst = (pCvVoronoiSite)cvGetSeqElem(SiteSeq, 0);
   2417     else
   2418     {
   2419         while(pReflexSite->next_site->next_site->node1==
   2420               pReflexSite->next_site->next_site->node2)
   2421             pReflexSite = pReflexSite->next_site->next_site;
   2422 
   2423         pSite = pSiteFirst = pReflexSite->next_site;
   2424     }
   2425 
   2426     Chain.last_site = pSite;
   2427     _cvConstructEdges(pSite,pVoronoiDiagram);
   2428     pSite_prev = pSite;
   2429     pSite = pSite->prev_site;
   2430     do
   2431     {
   2432         if(pSite->node1!=pSite->node2)
   2433         {
   2434             Chain.first_site = pSite_prev;
   2435             pChain = _cvSeqPushFront(ChainSeq,&Chain);
   2436 
   2437             _cvConstructEdges(pSite,pVoronoiDiagram);
   2438             Chain.last_site = pSite;
   2439             Chain.next_chain = pChain;
   2440         }
   2441         else
   2442         {
   2443             pSite=pSite->prev_site;
   2444             _cvConstructEdges(pSite,pVoronoiDiagram);
   2445             _cvConstructEdges(pSite->next_site,pVoronoiDiagram);
   2446         }
   2447         pSite_prev = pSite;
   2448         pSite = pSite->prev_site;
   2449     }while(pSite!=pSiteFirst);
   2450 
   2451     Chain.first_site = pSite_prev;
   2452     pChain = _cvSeqPushFront(ChainSeq,&Chain);
   2453     pChainFirst = (pCvVoronoiChain)cvGetSeqElem(ChainSeq,ChainSeq->total - 1);
   2454     pChainFirst->next_chain = pChain;
   2455     if(ChainSeq->total < 3)
   2456         return 0;
   2457     else
   2458         return 1;
   2459 }// end of _cvConstructExtChains
   2460 
   2461 static void _cvConstructIntChains(CvVoronoiDiagramInt* pVoronoiDiagram,
   2462                                    CvSeq* CurrChainSeq,
   2463                                    CvSeq* CurrSiteSeq,
   2464                                    pCvVoronoiSite pTopSite)
   2465 {
   2466     CvSeq* ChainSeq = CurrChainSeq;
   2467 
   2468     if(CurrSiteSeq->total == 1)
   2469         return;
   2470 
   2471     CvVoronoiChainInt Chain = {NULL,NULL,NULL};
   2472     pCvVoronoiChain pChain,pChainFirst;;
   2473     pCvVoronoiSite pSite, pSite_prev, pSiteFirst;
   2474     pSite = pSiteFirst = pTopSite->next_site;
   2475 
   2476     Chain.last_site = pSite;
   2477     _cvConstructEdges(pSite,pVoronoiDiagram);
   2478     pSite_prev = pSite;
   2479     pSite = pSite->prev_site;
   2480     do
   2481     {
   2482         if(pSite->node1!=pSite->node2)
   2483         {
   2484             Chain.first_site = pSite_prev;
   2485             pChain = _cvSeqPushFront(ChainSeq,&Chain);
   2486 
   2487             _cvConstructEdges(pSite,pVoronoiDiagram);
   2488             Chain.last_site = pSite;
   2489             Chain.next_chain = pChain;
   2490         }
   2491         else
   2492         {
   2493             pSite=pSite->prev_site;
   2494             if(pSite != pSiteFirst)
   2495                 _cvConstructEdges(pSite,pVoronoiDiagram);
   2496             _cvConstructEdges(pSite->next_site,pVoronoiDiagram);
   2497         }
   2498         pSite_prev = pSite;
   2499         pSite = pSite->prev_site;
   2500     }while(pSite!=pSiteFirst && pSite!= pSiteFirst->prev_site);
   2501 
   2502     if(pSite == pSiteFirst->prev_site && ChainSeq->total == 0)
   2503         return;
   2504 
   2505     Chain.first_site = pSite_prev;
   2506     if(pSite == pSiteFirst->prev_site)
   2507     {
   2508         pChainFirst = (pCvVoronoiChain)cvGetSeqElem(ChainSeq,ChainSeq->total - 1);
   2509         pChainFirst->last_site = Chain.last_site;
   2510         pChainFirst->next_chain = Chain.next_chain;
   2511         return;
   2512     }
   2513     else
   2514     {
   2515         pChain = _cvSeqPushFront(ChainSeq,&Chain);
   2516         pChainFirst = (pCvVoronoiChain)cvGetSeqElem(ChainSeq,ChainSeq->total - 1);
   2517         pChainFirst->next_chain = pChain;
   2518         return;
   2519     }
   2520 }// end of _cvConstructIntChains
   2521 
   2522 CV_INLINE void _cvConstructEdges(pCvVoronoiSite pSite,CvVoronoiDiagramInt* pVoronoiDiagram)
   2523 {
   2524     CvSeq* EdgeSeq = pVoronoiDiagram->EdgeSeq;
   2525     CvSeq* DirectionSeq = pVoronoiDiagram->DirectionSeq;
   2526     CvVoronoiEdgeInt Edge = {NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL};
   2527     pCvVoronoiEdge pEdge1,pEdge2;
   2528     CvDirection EdgeDirection,SiteDirection;
   2529     float site_lengh;
   2530 
   2531     Edge.site = pSite;
   2532     if(pSite->node1!=pSite->node2)
   2533     {
   2534         SiteDirection.x = pSite->node2->node.x - pSite->node1->node.x;
   2535         SiteDirection.y = pSite->node2->node.y - pSite->node1->node.y;
   2536         site_lengh = (float)sqrt((double)SiteDirection.x*SiteDirection.x + SiteDirection.y * SiteDirection.y);
   2537         SiteDirection.x /= site_lengh;
   2538         SiteDirection.y /= site_lengh;
   2539         EdgeDirection.x = -SiteDirection.y;
   2540         EdgeDirection.y = SiteDirection.x;
   2541         Edge.direction = _cvSeqPush(DirectionSeq,&EdgeDirection);
   2542         pSite->direction = _cvSeqPush(DirectionSeq,&SiteDirection);
   2543 
   2544         pEdge1 = _cvSeqPush(EdgeSeq,&Edge);
   2545         pEdge2 = _cvSeqPush(EdgeSeq,&Edge);
   2546     }
   2547     else
   2548     {
   2549         pCvVoronoiSite pSite_prev = pSite->prev_site;
   2550         pCvVoronoiSite pSite_next = pSite->next_site;
   2551 
   2552         pEdge1 = _cvSeqPush(EdgeSeq,&Edge);
   2553         pEdge2 = _cvSeqPush(EdgeSeq,&Edge);
   2554 
   2555         pEdge2->direction = pSite_next->edge1->direction;
   2556         pEdge2->twin_edge = pSite_next->edge1;
   2557         pSite_next->edge1->twin_edge = pEdge2;
   2558 
   2559         pEdge1->direction = pSite_prev->edge2->direction;
   2560         pEdge1->twin_edge = pSite_prev->edge2;
   2561         pSite_prev->edge2->twin_edge = pEdge1;
   2562     }
   2563 
   2564         pEdge2->node1 = pSite->node2;
   2565         pEdge1->node2 = pSite->node1;
   2566         pSite->edge1 = pEdge1;
   2567         pSite->edge2 = pEdge2;
   2568         pEdge2->next_edge = pEdge1;
   2569         pEdge1->prev_edge = pEdge2;
   2570 }// end of _cvConstructEdges
   2571 
   2572 static int _cvConstructExtVD(CvVoronoiDiagramInt* pVoronoiDiagram)
   2573 {
   2574     pCvVoronoiSite pSite_right = 0,pSite_left = 0;
   2575     pCvVoronoiEdge pEdge_left,pEdge_right;
   2576     pCvVoronoiChain pChain1, pChain2;
   2577 
   2578     pChain1 = (pCvVoronoiChain)cvGetSeqElem(pVoronoiDiagram->ChainSeq,0);
   2579     do
   2580     {
   2581         pChain2 = pChain1->next_chain;
   2582         if(pChain2->next_chain==pChain1)
   2583         {
   2584             pSite_right = pChain1->first_site;
   2585             pSite_left = pChain2->last_site;
   2586             pEdge_left = pSite_left->edge2->next_edge;
   2587             pEdge_right = pSite_right->edge1->prev_edge;
   2588             pEdge_left->prev_edge = NULL;
   2589             pEdge_right->next_edge = NULL;
   2590             pSite_right->edge1 = NULL;
   2591             pSite_left->edge2 = NULL;
   2592         }
   2593 
   2594         if(!_cvJoinChains(pChain1,pChain2,pVoronoiDiagram))
   2595             return 0;
   2596 
   2597         pChain1->last_site = pChain2->last_site;
   2598         pChain1->next_chain = pChain2->next_chain;
   2599         pChain1 = pChain1->next_chain;
   2600     }while(pChain1->next_chain != pChain1);
   2601 
   2602     pCvVoronoiNode pEndNode = pSite_left->node2;
   2603     if(pSite_right->edge1==NULL)
   2604         return 0;
   2605     else
   2606         pSite_right->edge1->node2 = pEndNode;
   2607 
   2608     if(pSite_left->edge2==NULL)
   2609         return 0;
   2610     else
   2611         pSite_left->edge2->node1 = pEndNode;
   2612 
   2613     return 1;
   2614 }//end of _cvConstructExtVD
   2615 
   2616 static int _cvJoinChains(pCvVoronoiChain pChain1,
   2617                           pCvVoronoiChain pChain2,
   2618                           CvVoronoiDiagramInt* pVoronoiDiagram)
   2619 {
   2620     const double dist_eps = 0.05;
   2621     if(pChain1->first_site == NULL || pChain1->last_site == NULL ||
   2622         pChain2->first_site == NULL || pChain2->last_site == NULL)
   2623         return 0;
   2624 
   2625     CvVoronoiEdgeInt EdgeNULL = {NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL};
   2626 
   2627     CvSeq* NodeSeq = pVoronoiDiagram->NodeSeq;
   2628     CvSeq* EdgeSeq = pVoronoiDiagram->EdgeSeq;
   2629 
   2630     pCvVoronoiSite pSite_left = pChain1->last_site;
   2631     pCvVoronoiSite pSite_right = pChain2->first_site;
   2632 
   2633     pCvVoronoiEdge pEdge_left = pSite_left->edge2->next_edge;
   2634     pCvVoronoiEdge pEdge_right = pSite_right->edge1->prev_edge;
   2635 
   2636     pCvVoronoiEdge pEdge_left_cur = pEdge_left;
   2637     pCvVoronoiEdge pEdge_right_cur = pEdge_right;
   2638 
   2639     pCvVoronoiEdge pEdge_left_prev = NULL;
   2640     pCvVoronoiEdge pEdge_right_next = NULL;
   2641 
   2642     pCvVoronoiNode pNode_siteleft = pChain1->first_site->node1;
   2643     pCvVoronoiNode pNode_siteright = pChain2->last_site->node2;
   2644     /*CvVoronoiSiteInt Site_left_chain = {pNode_siteleft,pNode_siteleft,NULL,NULL,NULL,NULL};
   2645     CvVoronoiSiteInt Site_right_chain = {pNode_siteright,pNode_siteright,NULL,NULL,NULL,NULL};*/
   2646 
   2647     pCvVoronoiEdge pEdge1,pEdge2;
   2648     CvPointFloat Point1 = {0,0}, Point2 = {0,0};
   2649 
   2650     float radius1,radius2,dist1,dist2;
   2651     bool left = true,right = true;
   2652 
   2653     CvVoronoiNodeInt Node;
   2654     pCvVoronoiNode pNode_begin = pSite_left->node2;
   2655 
   2656     pEdge1 = pSite_left->edge2;
   2657     pEdge1->node2 = NULL;
   2658     pEdge2 = pSite_right->edge1;
   2659     pEdge2->node1 = NULL;
   2660 
   2661     for(;;)
   2662     {
   2663 
   2664         if(left)
   2665             pEdge1->node1 = pNode_begin;
   2666         if(right)
   2667             pEdge2->node2 = pNode_begin;
   2668 
   2669         pEdge_left = pEdge_left_cur;
   2670         pEdge_right = pEdge_right_cur;
   2671 
   2672         if(left&&right)
   2673         {
   2674             _cvCalcEdge(pSite_left,pSite_right,pEdge1,pVoronoiDiagram);
   2675             _cvMakeTwinEdge(pEdge2,pEdge1);
   2676             _cvStickEdgeLeftBegin(pEdge1,pEdge_left_prev,pSite_left);
   2677             _cvStickEdgeRightBegin(pEdge2,pEdge_right_next,pSite_right);
   2678         }
   2679         else if(!left)
   2680         {
   2681             _cvCalcEdge(pNode_siteleft,pSite_right,pEdge2,pVoronoiDiagram);
   2682             _cvStickEdgeRightBegin(pEdge2,pEdge_right_next,pSite_right);
   2683         }
   2684         else if(!right)
   2685         {
   2686             _cvCalcEdge(pSite_left,pNode_siteright,pEdge1,pVoronoiDiagram);
   2687             _cvStickEdgeLeftBegin(pEdge1,pEdge_left_prev,pSite_left);
   2688         }
   2689 
   2690         dist1=dist2=-1;
   2691         radius1 = -1; radius2 = -2;
   2692 
   2693         while(pEdge_left!=NULL)
   2694         {
   2695             if(pEdge_left->node2 == NULL)
   2696             {
   2697                 pEdge_left_cur = pEdge_left = pEdge_left->next_edge;
   2698                 if(pEdge_left == NULL)
   2699                     break;
   2700             }
   2701 
   2702             if(left)
   2703                 dist1 = _cvCalcEdgeIntersection(pEdge1, pEdge_left, &Point1,radius1);
   2704             else
   2705                 dist1 = _cvCalcEdgeIntersection(pEdge2, pEdge_left, &Point1,radius1);
   2706 
   2707             if(dist1>=0)
   2708                 break;
   2709 
   2710             pEdge_left = pEdge_left->next_edge;
   2711         }
   2712 
   2713         while(pEdge_right!=NULL)
   2714         {
   2715             if(pEdge_right->node1 == NULL)
   2716             {
   2717                 pEdge_right_cur = pEdge_right = pEdge_right->prev_edge;
   2718                 if(pEdge_right == NULL)
   2719                     break;
   2720             }
   2721 
   2722             if(left)
   2723                 dist2 = _cvCalcEdgeIntersection(pEdge1, pEdge_right, &Point2, radius2);
   2724             else
   2725                 dist2 = _cvCalcEdgeIntersection(pEdge2, pEdge_right, &Point2, radius2);
   2726 
   2727             if(dist2>=0)
   2728                 break;
   2729 
   2730             pEdge_right = pEdge_right->prev_edge;
   2731         }
   2732 
   2733         if(dist1<0&&dist2<0)
   2734         {
   2735             if(left)
   2736             {
   2737                 pEdge_left = pSite_left->edge1;
   2738                 if(pEdge_left==NULL)
   2739                     _cvStickEdgeLeftEnd(pEdge1,NULL,pSite_left);
   2740                 else
   2741                 {
   2742                     while(pEdge_left->node1!=NULL
   2743                         &&pEdge_left->node1==pEdge_left->prev_edge->node2)
   2744                     {
   2745                         pEdge_left = pEdge_left->prev_edge;
   2746                         if(pEdge_left==NULL || pEdge_left->prev_edge == NULL)
   2747                             return 0;
   2748                     }
   2749                     _cvStickEdgeLeftEnd(pEdge1,pEdge_left,pSite_left);
   2750                 }
   2751             }
   2752             if(right)
   2753             {
   2754                 pEdge_right = pSite_right->edge2;
   2755                 if(pEdge_right==NULL)
   2756                     _cvStickEdgeRightEnd(pEdge2,NULL,pSite_right);
   2757                 else
   2758                 {
   2759                     while(pEdge_right->node2!=NULL
   2760                         &&  pEdge_right->node2==pEdge_right->next_edge->node1)
   2761                     {
   2762                         pEdge_right = pEdge_right->next_edge;
   2763                         if(pEdge_right==NULL || pEdge_right->next_edge == NULL )
   2764                             return 0;
   2765                     }
   2766                     _cvStickEdgeRightEnd(pEdge2,pEdge_right,pSite_right);
   2767                 }
   2768             }
   2769             return 1;
   2770         }
   2771 
   2772         if(fabs(dist1 - dist2)<dist_eps)
   2773         {
   2774             pNode_begin = _cvSeqPush(NodeSeq,&Node);
   2775             _cvInitVoronoiNode(pNode_begin, &Point2,radius2);
   2776 
   2777             pEdge1->node2 = pNode_begin;
   2778             pEdge2->node1 = pNode_begin;
   2779 
   2780             _cvStickEdgeLeftEnd(pEdge1,pEdge_left,pSite_left);
   2781             _cvTwinNULLLeft(pEdge_left_cur,pEdge_left);
   2782 
   2783             _cvStickEdgeRightEnd(pEdge2,pEdge_right,pSite_right);
   2784             _cvTwinNULLRight(pEdge_right_cur,pEdge_right);
   2785 
   2786             if(pEdge_left->twin_edge!=NULL&&pEdge_right->twin_edge!=NULL)
   2787             {
   2788                 pEdge_left_prev = pEdge_left->twin_edge;
   2789                 if(!pEdge_left_prev)
   2790                     return 0;
   2791                 pEdge_left_cur = pEdge_left_prev->next_edge;
   2792                 pEdge_right_next = pEdge_right->twin_edge;
   2793                 if(!pEdge_right_next)
   2794                     return 0;
   2795                 pEdge_right_cur = pEdge_right_next->prev_edge;
   2796                 pSite_right = pEdge_right_next->site;
   2797                 pEdge2 = _cvSeqPush(EdgeSeq, &EdgeNULL);
   2798                 pSite_left = pEdge_left_prev->site;
   2799                 pEdge1 = _cvSeqPush(EdgeSeq, &EdgeNULL);
   2800                 continue;
   2801             }
   2802 
   2803             if(pEdge_left->twin_edge==NULL&&pEdge_right->twin_edge!=NULL)
   2804             {
   2805                 pEdge_right_next = pEdge_right->twin_edge;
   2806                 if(!pEdge_right_next)
   2807                     return 0;
   2808                 pEdge_right_cur = pEdge_right_next->prev_edge;
   2809                 pSite_right = pEdge_right_next->site;
   2810                 pEdge2 = _cvSeqPush(EdgeSeq, &EdgeNULL);
   2811                 pEdge_left_cur = NULL;
   2812                 left = false;
   2813                 continue;
   2814             }
   2815 
   2816             if(pEdge_left->twin_edge!=NULL&&pEdge_right->twin_edge==NULL)
   2817             {
   2818                 pEdge_left_prev = pEdge_left->twin_edge;
   2819                 if(!pEdge_left_prev)
   2820                     return 0;
   2821                 pEdge_left_cur = pEdge_left_prev->next_edge;
   2822                 pSite_left = pEdge_left_prev->site;
   2823                 pEdge1 = _cvSeqPush(EdgeSeq, &EdgeNULL);
   2824                 pEdge_right_cur = NULL;
   2825                 right = false;
   2826                 continue;
   2827             }
   2828             if(pEdge_left->twin_edge==NULL&&pEdge_right->twin_edge==NULL)
   2829                 return 1;
   2830         }
   2831 
   2832         if((dist1<dist2&&dist1>=0)||(dist1>=0&&dist2<0))
   2833         {
   2834 
   2835             pNode_begin = _cvSeqPush(NodeSeq,&Node);
   2836             _cvInitVoronoiNode(pNode_begin, &Point1,radius1);
   2837             pEdge1->node2 = pNode_begin;
   2838             _cvTwinNULLLeft(pEdge_left_cur,pEdge_left);
   2839             _cvStickEdgeLeftEnd(pEdge1,pEdge_left,pSite_left);
   2840             if(right)
   2841             {
   2842                 pEdge2->node1 = pNode_begin;
   2843                 pEdge_right_next = pEdge2;
   2844                 pEdge2 = _cvSeqPush(EdgeSeq, &EdgeNULL);
   2845                 if(pEdge_left->twin_edge!=NULL)
   2846                 {
   2847                     pEdge_left_prev = pEdge_left->twin_edge;
   2848                     if(!pEdge_left_prev)
   2849                         return 0;
   2850                     pEdge_left_cur = pEdge_left_prev->next_edge;
   2851                     pSite_left = pEdge_left_prev->site;
   2852                     pEdge1 = _cvSeqPush(EdgeSeq, &EdgeNULL);
   2853                     continue;
   2854                 }
   2855                 else
   2856                 {
   2857                     pEdge_left_cur = NULL;
   2858                     left = false;
   2859                     continue;
   2860                 }
   2861             }
   2862             else
   2863             {
   2864                 if(pEdge_left->twin_edge!=NULL)
   2865                 {
   2866                     pEdge_left_prev = pEdge_left->twin_edge;
   2867                     if(!pEdge_left_prev)
   2868                         return 0;
   2869                     pEdge_left_cur = pEdge_left_prev->next_edge;
   2870                     pSite_left = pEdge_left_prev->site;
   2871                     pEdge1 = _cvSeqPush(EdgeSeq, &EdgeNULL);
   2872                     continue;
   2873                 }
   2874                 else
   2875                     return 1;
   2876 
   2877             }
   2878 
   2879         }
   2880 
   2881         if((dist1>dist2&&dist2>=0)||(dist1<0&&dist2>=0))
   2882         {
   2883             pNode_begin = _cvSeqPush(NodeSeq,&Node);
   2884             _cvInitVoronoiNode(pNode_begin, &Point2,radius2);
   2885             pEdge2->node1 = pNode_begin;
   2886             _cvTwinNULLRight(pEdge_right_cur,pEdge_right);
   2887             _cvStickEdgeRightEnd(pEdge2,pEdge_right,pSite_right);
   2888             if(left)
   2889             {
   2890                 pEdge1->node2 = pNode_begin;
   2891                 pEdge_left_prev = pEdge1;
   2892                 pEdge1 = _cvSeqPush(EdgeSeq, &EdgeNULL);
   2893                 if(pEdge_right->twin_edge!=NULL)
   2894                 {
   2895                     pEdge_right_next = pEdge_right->twin_edge;
   2896                     if(!pEdge_right_next)
   2897                         return 0;
   2898                     pEdge_right_cur = pEdge_right_next->prev_edge;
   2899                     pSite_right = pEdge_right_next->site;
   2900                     pEdge2 = _cvSeqPush(EdgeSeq, &EdgeNULL);
   2901                     continue;
   2902                 }
   2903                 else
   2904                 {
   2905                     pEdge_right_cur = NULL;
   2906                     right = false;
   2907                     continue;
   2908                 }
   2909             }
   2910             else
   2911             {
   2912                 if(pEdge_right->twin_edge!=NULL)
   2913                 {
   2914                     pEdge_right_next = pEdge_right->twin_edge;
   2915                     if(!pEdge_right_next)
   2916                         return 0;
   2917                     pEdge_right_cur = pEdge_right_next->prev_edge;
   2918                     pSite_right = pEdge_right_next->site;
   2919                     pEdge2 = _cvSeqPush(EdgeSeq, &EdgeNULL);
   2920                     continue;
   2921                 }
   2922                 else
   2923                     return 1;
   2924             }
   2925 
   2926         }
   2927     }
   2928 
   2929 }// end of _cvJoinChains
   2930 
   2931 static void _cvFindNearestSite(CvVoronoiDiagramInt* pVoronoiDiagram)
   2932 {
   2933     pCvVoronoiHole pCurrHole, pHole = pVoronoiDiagram->top_hole;
   2934     pCvPointFloat pTopPoint,pPoint1,pPoint2;
   2935     CvPointFloat Direction;
   2936     pCvVoronoiSite pSite;
   2937     CvVoronoiNodeInt Node;
   2938     CvSeq* CurrSeq;
   2939     float min_distance,distance;
   2940     int i;
   2941     for(;pHole != NULL; pHole = pHole->next_hole)
   2942     {
   2943         if(pHole->error)
   2944             continue;
   2945         pTopPoint = &pHole->site_top->node1->node;
   2946         pCurrHole = NULL;
   2947         CurrSeq = pVoronoiDiagram->SiteSeq;
   2948         min_distance = (float)3e+34;
   2949         while(pCurrHole != pHole)
   2950         {
   2951             if(pCurrHole && pCurrHole->error)
   2952                 continue;
   2953             pSite = (pCvVoronoiSite)cvGetSeqElem(CurrSeq,0);
   2954             if(CurrSeq->total == 1)
   2955             {
   2956                 distance = _cvCalcDist(pTopPoint, pSite);
   2957                 if(distance < min_distance)
   2958                 {
   2959                     min_distance = distance;
   2960                     pHole->site_nearest = pSite;
   2961                 }
   2962             }
   2963             else
   2964             {
   2965                 for(i = 0; i < CurrSeq->total;i++, pSite = pSite->next_site)
   2966                 {
   2967                     if(pSite->node1 != pSite->node2)
   2968                     {
   2969                         pPoint1 = &pSite->node1->node;
   2970                         pPoint2 = &pSite->node2->node;
   2971 
   2972                         Direction.x = -pSite->direction->y;
   2973                         Direction.y = pSite->direction->x;
   2974 
   2975                         if(
   2976                                  (pTopPoint->x - pPoint2->x)*Direction.y -
   2977                                  (pTopPoint->y - pPoint2->y)*Direction.x > 0
   2978                             ||
   2979                                  (pTopPoint->x - pPoint1->x)*Direction.y -
   2980                                  (pTopPoint->y - pPoint1->y)*Direction.x < 0
   2981                             ||
   2982                                  (pTopPoint->x - pPoint1->x)*pSite->direction->y -
   2983                                  (pTopPoint->y - pPoint1->y)*pSite->direction->x > 0
   2984                            )
   2985                                 continue;
   2986 
   2987                         distance = _cvCalcDist(pTopPoint, pSite);
   2988                     }
   2989                     else
   2990                     {
   2991                         pPoint1 = &pSite->node1->node;
   2992                         if(
   2993                                  (pTopPoint->x - pPoint1->x)*pSite->edge2->direction->y -
   2994                                  (pTopPoint->y - pPoint1->y)*pSite->edge2->direction->x > 0
   2995                             ||
   2996                                  (pTopPoint->x - pPoint1->x)*pSite->edge1->direction->y -
   2997                                  (pTopPoint->y - pPoint1->y)*pSite->edge1->direction->x < 0
   2998                            )
   2999                                 continue;
   3000 
   3001                         distance = _cvCalcDist(pTopPoint, pSite);
   3002                     }
   3003 
   3004 
   3005                     if(distance < min_distance)
   3006                     {
   3007                         min_distance = distance;
   3008                         pHole->site_nearest = pSite;
   3009                     }
   3010                 }
   3011             }
   3012 
   3013             if(pCurrHole == NULL)
   3014                 pCurrHole = pVoronoiDiagram->top_hole;
   3015             else
   3016                 pCurrHole = pCurrHole->next_hole;
   3017 
   3018             CurrSeq = pCurrHole->SiteSeq;
   3019         }
   3020         pHole->x_coord = min_distance;
   3021 
   3022         if(pHole->site_nearest->node1 == pHole->site_nearest->node2)
   3023         {
   3024             Direction.x = (pHole->site_nearest->node1->node.x - pHole->site_top->node1->node.x)/2;
   3025             Direction.y = (pHole->site_nearest->node1->node.y - pHole->site_top->node1->node.y)/2;
   3026         }
   3027         else
   3028         {
   3029 
   3030             Direction.x = pHole->site_nearest->direction->y * min_distance / 2;
   3031             Direction.y = - pHole->site_nearest->direction->x * min_distance / 2;
   3032         }
   3033 
   3034         Node.node.x = pHole->site_top->node1->node.x + Direction.x;
   3035         Node.node.y = pHole->site_top->node1->node.y + Direction.y;
   3036         pHole->node = _cvSeqPush(pVoronoiDiagram->NodeSeq, &Node);
   3037     }
   3038 }//end of _cvFindNearestSite
   3039 
   3040 static void _cvConstructIntVD(CvVoronoiDiagramInt* pVoronoiDiagram)
   3041 {
   3042     pCvVoronoiChain pChain1, pChain2;
   3043     pCvVoronoiHole pHole;
   3044     int i;
   3045 
   3046     pHole = pVoronoiDiagram->top_hole;
   3047 
   3048     for(;pHole != NULL; pHole = pHole->next_hole)
   3049     {
   3050         if(pHole->ChainSeq->total == 0)
   3051             continue;
   3052         pChain1 = (pCvVoronoiChain)cvGetSeqElem(pHole->ChainSeq,0);
   3053         for(i = pHole->ChainSeq->total; i > 0;i--)
   3054         {
   3055             pChain2 = pChain1->next_chain;
   3056             if(!_cvJoinChains(pChain1,pChain2,pVoronoiDiagram))
   3057             {
   3058                 pHole->error = true;
   3059                 break;
   3060             }
   3061 
   3062             pChain1->last_site = pChain2->last_site;
   3063             pChain1->next_chain = pChain2->next_chain;
   3064             pChain1 = pChain1->next_chain;
   3065         }
   3066     }
   3067 }// end of _cvConstructIntVD
   3068 
   3069 static int _cvFindOppositSiteCW(pCvVoronoiHole pHole, CvVoronoiDiagramInt* pVoronoiDiagram)
   3070 {
   3071     pCvVoronoiSite pSite_left = pHole->site_nearest;
   3072     pCvVoronoiSite pSite_right = pHole->site_top;
   3073     pCvVoronoiNode pNode = pHole->node;
   3074 
   3075     CvDirection Direction = {-1,0};
   3076     CvVoronoiEdgeInt Edge_right = {NULL,pSite_right->node1,pSite_right,NULL,NULL,NULL,NULL,&Direction};
   3077 
   3078     pCvVoronoiEdge pEdge_left = pSite_left->edge2->next_edge;
   3079     pCvVoronoiEdge pEdge_right = &Edge_right;
   3080 
   3081     CvVoronoiEdgeInt Edge = {NULL,pNode,pSite_right,NULL,NULL,NULL,NULL,NULL};
   3082     CvVoronoiEdgeInt Edge_cur = {NULL,NULL,NULL,NULL,NULL,NULL,NULL};
   3083     pCvVoronoiEdge pEdge = &Edge;
   3084 
   3085     float radius1, radius2,dist1, dist2;
   3086     CvPointFloat Point1 = {0,0}, Point2 = {0,0};
   3087 
   3088     for(;;)
   3089     {
   3090         pEdge->direction = NULL;
   3091         pEdge->parabola = NULL;
   3092         _cvCalcEdge(pSite_left,pSite_right,pEdge,pVoronoiDiagram);
   3093 
   3094         dist1=dist2=-1;
   3095         radius1 = -1; radius2 = -2;
   3096         while(pEdge_left!=NULL)
   3097         {
   3098             dist1 = _cvCalcEdgeIntersection(pEdge, pEdge_left, &Point1,radius1);
   3099             if(dist1>=0)
   3100                 break;
   3101             pEdge_left = pEdge_left->next_edge;
   3102         }
   3103 
   3104         dist2 = _cvCalcEdgeIntersection(pEdge, pEdge_right, &Point2, radius2);
   3105         if(dist2>=0 && dist1 >= dist2)
   3106         {
   3107             pHole->site_opposite = pSite_left;
   3108             pNode->node = Point2;
   3109             return 1;
   3110         }
   3111 
   3112         if(dist1<0)
   3113             return 0;
   3114 
   3115         Edge_cur = *pEdge_left->twin_edge;
   3116         Edge_cur.node1 = pNode;
   3117         pEdge_left = &Edge_cur;
   3118 
   3119         pSite_left = pEdge_left->site;
   3120         pNode->node = Point1;
   3121     }
   3122 }//end of _cvFindOppositSiteCW
   3123 
   3124 static int _cvFindOppositSiteCCW(pCvVoronoiHole pHole,CvVoronoiDiagramInt* pVoronoiDiagram)
   3125 {
   3126     pCvVoronoiSite pSite_right = pHole->site_nearest;
   3127     pCvVoronoiSite pSite_left = pHole->site_top;
   3128     pCvVoronoiNode pNode = pHole->node;
   3129 
   3130     CvDirection Direction = {-1,0};
   3131     CvVoronoiEdgeInt Edge_left = {pSite_left->node1,NULL,pSite_left,NULL,NULL,NULL, NULL, &Direction};
   3132 
   3133     pCvVoronoiEdge pEdge_left = &Edge_left;
   3134     pCvVoronoiEdge pEdge_right = pSite_right->edge1->prev_edge;
   3135 
   3136     CvVoronoiEdgeInt Edge = {NULL,pNode,pSite_left,NULL,NULL,NULL,NULL};
   3137     CvVoronoiEdgeInt Edge_cur = {NULL,NULL,NULL,NULL,NULL,NULL,NULL};
   3138     pCvVoronoiEdge pEdge = &Edge;
   3139 
   3140     double dist1, dist2;
   3141     float radius1, radius2;
   3142     CvPointFloat Point1 = {0,0}, Point2 = {0,0};
   3143 
   3144     for(;;)
   3145     {
   3146         pEdge->direction = NULL;
   3147         pEdge->parabola = NULL;
   3148         _cvCalcEdge(pSite_left,pSite_right,pEdge,pVoronoiDiagram);
   3149 
   3150         dist1=dist2=-1;
   3151         radius1 = -1; radius2 = -2;
   3152         while(pEdge_right!=NULL)
   3153         {
   3154             dist1 = _cvCalcEdgeIntersection(pEdge, pEdge_right, &Point1,radius2);
   3155             if(dist1>=0)
   3156                 break;
   3157             pEdge_right = pEdge_right->prev_edge;
   3158         }
   3159 
   3160         dist2 = _cvCalcEdgeIntersection(pEdge, pEdge_left, &Point2, radius1);
   3161         if(dist2>=0 && dist1 > dist2)
   3162         {
   3163             pHole->site_opposite = pSite_right;
   3164             pNode->node = Point2;
   3165             return 1;
   3166         }
   3167 
   3168         if(dist1<0)
   3169             return 0;
   3170 
   3171         Edge_cur = *pEdge_right->twin_edge;
   3172         Edge_cur.node2 = pNode;
   3173         pEdge_right = &Edge_cur;
   3174 
   3175         pSite_right = pEdge_right->site;
   3176         pNode->node = Point1;
   3177     }
   3178 }//end of _cvFindOppositSiteCCW
   3179 
   3180 static int _cvMergeVD(pCvVoronoiHole pHole,CvVoronoiDiagramInt* pVoronoiDiagram)
   3181 {
   3182     pCvVoronoiSite pSite_left_first = pHole->site_top;
   3183     pCvVoronoiSite pSite_right_first = pHole->site_opposite;
   3184     pCvVoronoiNode pNode_begin = pHole->node;
   3185     if(pSite_left_first == NULL || pSite_right_first == NULL || pNode_begin == NULL)
   3186         return 0;
   3187 
   3188     pCvVoronoiSite pSite_left = pSite_left_first;
   3189     pCvVoronoiSite pSite_right = pSite_right_first;
   3190 
   3191     const double dist_eps = 0.05;
   3192     CvVoronoiEdgeInt EdgeNULL = {NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL};
   3193 
   3194     CvSeq* NodeSeq = pVoronoiDiagram->NodeSeq;
   3195     CvSeq* EdgeSeq = pVoronoiDiagram->EdgeSeq;
   3196 
   3197     pCvVoronoiEdge pEdge_left = NULL;
   3198     if(pSite_left->edge2 != NULL)
   3199         pEdge_left = pSite_left->edge2->next_edge;
   3200 
   3201     pCvVoronoiEdge pEdge_right = pSite_right->edge1;
   3202     pCvVoronoiEdge pEdge_left_cur = pEdge_left;
   3203     pCvVoronoiEdge pEdge_right_cur = pEdge_right;
   3204 
   3205     pCvVoronoiEdge pEdge_left_prev = NULL;
   3206     pCvVoronoiEdge pEdge_right_next = NULL;
   3207 
   3208     pCvVoronoiEdge pEdge1,pEdge2,pEdge1_first, pEdge2_first;
   3209     CvPointFloat Point1 = {0,0}, Point2 = {0,0};
   3210 
   3211     float radius1,radius2,dist1,dist2;
   3212 
   3213     CvVoronoiNodeInt Node;
   3214 
   3215     pEdge1_first = pEdge1 = _cvSeqPush(EdgeSeq, &EdgeNULL);;
   3216     pEdge2_first = pEdge2 = _cvSeqPush(EdgeSeq, &EdgeNULL);;
   3217     pEdge1->site = pSite_left_first;
   3218     pEdge2->site = pSite_right_first;
   3219 
   3220     do
   3221     {
   3222         pEdge1->node1 = pEdge2->node2 = pNode_begin;
   3223 
   3224         pEdge_left = pEdge_left_cur;
   3225         pEdge_right = pEdge_right_cur->prev_edge;
   3226 
   3227         _cvCalcEdge(pSite_left,pSite_right,pEdge1,pVoronoiDiagram);
   3228         _cvMakeTwinEdge(pEdge2,pEdge1);
   3229 
   3230         if(pEdge_left_prev != NULL)
   3231             _cvStickEdgeLeftBegin(pEdge1,pEdge_left_prev,pSite_left);
   3232         if(pEdge_right_next != NULL)
   3233             _cvStickEdgeRightBegin(pEdge2,pEdge_right_next,pSite_right);
   3234 
   3235         dist1=dist2=-1;
   3236         radius1 = -1; radius2 = -2;
   3237 
   3238 //LEFT:
   3239         while(pEdge_left!=NULL)
   3240         {
   3241             if(pEdge_left->node2 == NULL)
   3242                 pEdge_left_cur = pEdge_left = pEdge_left->next_edge;
   3243 
   3244             dist1 = _cvCalcEdgeIntersection(pEdge1, pEdge_left, &Point1,radius1);
   3245             if(dist1>=0)
   3246                 goto RIGHT;
   3247             pEdge_left = pEdge_left->next_edge;
   3248         }
   3249 
   3250 RIGHT:
   3251         while(pEdge_right!=NULL)
   3252         {
   3253             dist2 = _cvCalcEdgeIntersection(pEdge1, pEdge_right, &Point2,radius2);
   3254             if(dist2>=0)
   3255                 goto RESULTHANDLING;
   3256 
   3257             pEdge_right = pEdge_right->prev_edge;
   3258         }
   3259         pEdge_right = pEdge_right_cur;
   3260         dist2 = _cvCalcEdgeIntersection(pEdge1, pEdge_right, &Point2, radius2);
   3261 
   3262 RESULTHANDLING:
   3263         if(dist1<0&&dist2<0)
   3264             return 0;
   3265 
   3266         if(fabs(dist1 - dist2)<dist_eps)
   3267         {
   3268             pNode_begin = _cvSeqPush(NodeSeq,&Node);
   3269             _cvInitVoronoiNode(pNode_begin, &Point2,radius2);
   3270 
   3271             pEdge1->node2 = pNode_begin;
   3272             pEdge2->node1 = pNode_begin;
   3273 
   3274             pEdge_right_cur = _cvDivideRightEdge(pEdge_right,pNode_begin,EdgeSeq);
   3275 
   3276             _cvStickEdgeLeftEnd(pEdge1,pEdge_left,pSite_left);
   3277             _cvStickEdgeRightEnd(pEdge2,pEdge_right,pSite_right);
   3278 
   3279             pEdge_left_prev = pEdge_left->twin_edge;
   3280             if(!pEdge_left_prev)
   3281                 return 0;
   3282             pEdge_left_cur = pEdge_left_prev->next_edge;
   3283             pSite_left = pEdge_left_prev->site;
   3284             pEdge1 = _cvSeqPush(EdgeSeq, &EdgeNULL);
   3285 
   3286             pEdge_right_next = pEdge_right->twin_edge;
   3287             if(!pEdge_right_next)
   3288                 return 0;
   3289             pSite_right = pEdge_right_next->site;
   3290             pEdge2 = _cvSeqPush(EdgeSeq, &EdgeNULL);
   3291 
   3292             continue;
   3293         }
   3294 
   3295         if((dist1<dist2&&dist1>=0)||(dist1>=0&&dist2<0))
   3296         {
   3297             pNode_begin = _cvSeqPush(NodeSeq,&Node);
   3298             _cvInitVoronoiNode(pNode_begin, &Point1,radius1);
   3299 
   3300             pEdge1->node2 = pNode_begin;
   3301             _cvStickEdgeLeftEnd(pEdge1,pEdge_left,pSite_left);
   3302 
   3303             pEdge2->node1 = pNode_begin;
   3304             pEdge_right_next = pEdge2;
   3305             pEdge2 = _cvSeqPush(EdgeSeq, &EdgeNULL);
   3306 
   3307             pEdge_left_prev = pEdge_left->twin_edge;
   3308             if(!pEdge_left_prev)
   3309                 return 0;
   3310             pEdge_left_cur = pEdge_left_prev->next_edge;
   3311             pSite_left = pEdge_left_prev->site;
   3312             pEdge1 = _cvSeqPush(EdgeSeq, &EdgeNULL);
   3313 
   3314             continue;
   3315         }
   3316 
   3317         if((dist1>dist2&&dist2>=0)||(dist1<0&&dist2>=0))
   3318         {
   3319             pNode_begin = _cvSeqPush(NodeSeq,&Node);
   3320             _cvInitVoronoiNode(pNode_begin, &Point2,radius2);
   3321 
   3322             pEdge_right_cur = _cvDivideRightEdge(pEdge_right,pNode_begin,EdgeSeq);
   3323 
   3324             pEdge2->node1 = pNode_begin;
   3325             _cvStickEdgeRightEnd(pEdge2,pEdge_right,pSite_right);
   3326 
   3327             pEdge1->node2 = pNode_begin;
   3328             pEdge_left_prev = pEdge1;
   3329             pEdge1 = _cvSeqPush(EdgeSeq, &EdgeNULL);
   3330 
   3331             pEdge_right_next = pEdge_right->twin_edge;
   3332             if(!pEdge_right_next)
   3333                 return 0;
   3334             pSite_right = pEdge_right_next->site;
   3335             pEdge2 = _cvSeqPush(EdgeSeq, &EdgeNULL);
   3336 
   3337             continue;
   3338         }
   3339 
   3340     }while(!(pSite_left == pSite_left_first && pSite_right == pSite_right_first));
   3341 
   3342         pEdge1_first->node1 = pNode_begin;
   3343         pEdge2_first->node2 = pNode_begin;
   3344         _cvStickEdgeLeftBegin(pEdge1_first,pEdge_left_prev,pSite_left_first);
   3345         _cvStickEdgeRightBegin(pEdge2_first,pEdge_right_next,pSite_right_first);
   3346 
   3347         if(pSite_left_first->edge2 == NULL)
   3348             pSite_left_first->edge2 = pSite_left_first->edge1 = pEdge1_first;
   3349         return 1;
   3350 }// end of _cvMergeVD
   3351 
   3352 
   3353 /* ///////////////////////////////////////////////////////////////////////////////////////
   3354 //                               Computation of bisectors                               //
   3355 /////////////////////////////////////////////////////////////////////////////////////// */
   3356 
   3357 void _cvCalcEdge(pCvVoronoiSite pSite_left,
   3358                  pCvVoronoiSite pSite_right,
   3359                  pCvVoronoiEdge pEdge,
   3360                  CvVoronoiDiagramInt* pVoronoiDiagram)
   3361 {
   3362     if((pSite_left->node1!=pSite_left->node2)&&
   3363         (pSite_right->node1!=pSite_right->node2))
   3364         _cvCalcEdgeLL(pSite_left->direction,
   3365                      pSite_right->direction,
   3366                      pEdge,pVoronoiDiagram);
   3367 
   3368     else if((pSite_left->node1!=pSite_left->node2)&&
   3369             (pSite_right->node1 == pSite_right->node2))
   3370         _cvCalcEdgeLP(pSite_left,pSite_right->node1,pEdge,pVoronoiDiagram);
   3371 
   3372     else if((pSite_left->node1==pSite_left->node2)&&
   3373             (pSite_right->node1!=pSite_right->node2))
   3374         _cvCalcEdgePL(pSite_left->node1,pSite_right,pEdge,pVoronoiDiagram);
   3375 
   3376     else
   3377         _cvCalcEdgePP(&(pSite_left->node1->node),
   3378                      &(pSite_right->node1->node),
   3379                      pEdge,pVoronoiDiagram);
   3380 }//end of _cvCalcEdge
   3381 
   3382 void _cvCalcEdge(pCvVoronoiSite pSite,
   3383                  pCvVoronoiNode pNode,
   3384                  pCvVoronoiEdge pEdge,
   3385                  CvVoronoiDiagramInt* pVoronoiDiagram)
   3386 {
   3387     if(pSite->node1!=pSite->node2)
   3388         _cvCalcEdgeLP(pSite, pNode, pEdge,pVoronoiDiagram);
   3389     else
   3390         _cvCalcEdgePP(&(pSite->node1->node),
   3391                      &pNode->node,
   3392                      pEdge,pVoronoiDiagram);
   3393 }//end of _cvCalcEdge
   3394 
   3395 void _cvCalcEdge(pCvVoronoiNode pNode,
   3396                          pCvVoronoiSite pSite,
   3397                          pCvVoronoiEdge pEdge,
   3398                          CvVoronoiDiagramInt* pVoronoiDiagram)
   3399 {
   3400     if(pSite->node1!=pSite->node2)
   3401         _cvCalcEdgePL(pNode,pSite,pEdge,pVoronoiDiagram);
   3402     else
   3403         _cvCalcEdgePP(&pNode->node,&pSite->node1->node,pEdge,pVoronoiDiagram);
   3404 }//end of _cvCalcEdge
   3405 
   3406 CV_INLINE
   3407 void _cvCalcEdgeLL(pCvDirection pDirection1,
   3408                   pCvDirection pDirection2,
   3409                   pCvVoronoiEdge pEdge,
   3410                   CvVoronoiDiagramInt* pVoronoiDiagram)
   3411 {
   3412     CvDirection Direction = {pDirection2->x - pDirection1->x, pDirection2->y - pDirection1->y};
   3413     if((fabs(Direction.x)<LEE_CONST_ZERO)&&(fabs(Direction.y)<LEE_CONST_ZERO))
   3414             Direction = *pDirection2;
   3415     pEdge->direction = _cvSeqPush(pVoronoiDiagram->DirectionSeq,&Direction);;
   3416 }//end of _cvCalcEdgeLL
   3417 
   3418 CV_INLINE
   3419 void _cvCalcEdgePP(pCvPointFloat pPoint1,
   3420                   pCvPointFloat pPoint2,
   3421                   pCvVoronoiEdge pEdge,
   3422                   CvVoronoiDiagramInt* pVoronoiDiagram)
   3423 {
   3424     CvDirection Direction = {pPoint1->y - pPoint2->y,pPoint2->x - pPoint1->x};
   3425     pEdge->direction = _cvSeqPush(pVoronoiDiagram->DirectionSeq,&Direction);
   3426 }//end of _cvCalcEdgePP
   3427 
   3428 CV_INLINE
   3429 void _cvCalcEdgePL(pCvVoronoiNode pFocus,
   3430                   pCvVoronoiSite pDirectrice,
   3431                   pCvVoronoiEdge pEdge,
   3432                   CvVoronoiDiagramInt* pVoronoiDiagram)
   3433 {
   3434     pCvPointFloat pPoint0 = &pFocus->node;
   3435     pCvPointFloat pPoint1 = &pDirectrice->node1->node;
   3436 
   3437     CvDirection Vector01 = {pPoint0->x - pPoint1->x,pPoint0->y - pPoint1->y};
   3438     float half_h = (Vector01.y*pDirectrice->direction->x - Vector01.x*pDirectrice->direction->y)/2;
   3439     CvDirection Normal = {-pDirectrice->direction->y,pDirectrice->direction->x};
   3440     if(half_h < LEE_CONST_ZERO)
   3441     {
   3442         pEdge->direction = _cvSeqPush(pVoronoiDiagram->DirectionSeq,&Normal);
   3443         return;
   3444     }
   3445     CvVoronoiParabolaInt Parabola;
   3446     pCvVoronoiParabola  pParabola = _cvSeqPush(pVoronoiDiagram->ParabolaSeq,&Parabola);
   3447     float* map = pParabola->map;
   3448 
   3449     map[1] = Normal.x;
   3450     map[4] = Normal.y;
   3451     map[0] = Normal.y;
   3452     map[3] = -Normal.x;
   3453     map[2] = pPoint0->x - Normal.x*half_h;
   3454     map[5] = pPoint0->y - Normal.y*half_h;
   3455 
   3456     pParabola->a = 1/(4*half_h);
   3457     pParabola->focus = pFocus;
   3458     pParabola->directrice = pDirectrice;
   3459     pEdge->parabola = pParabola;
   3460 }//end of _cvCalcEdgePL
   3461 
   3462 CV_INLINE
   3463 void _cvCalcEdgeLP(pCvVoronoiSite pDirectrice,
   3464                   pCvVoronoiNode pFocus,
   3465                   pCvVoronoiEdge pEdge,
   3466                   CvVoronoiDiagramInt* pVoronoiDiagram)
   3467 {
   3468     pCvPointFloat pPoint0 = &pFocus->node;
   3469     pCvPointFloat pPoint1 = &pDirectrice->node1->node;
   3470 
   3471     CvDirection Vector01 = {pPoint0->x - pPoint1->x,pPoint0->y - pPoint1->y};
   3472     float half_h = (Vector01.y*pDirectrice->direction->x - Vector01.x*pDirectrice->direction->y)/2;
   3473     CvDirection Normal = {-pDirectrice->direction->y,pDirectrice->direction->x};
   3474     if(half_h < LEE_CONST_ZERO)
   3475     {
   3476         pEdge->direction = _cvSeqPush(pVoronoiDiagram->DirectionSeq,&Normal);
   3477         return;
   3478     }
   3479     CvVoronoiParabolaInt Parabola;
   3480     pCvVoronoiParabola  pParabola = _cvSeqPush(pVoronoiDiagram->ParabolaSeq,&Parabola);
   3481     float* map = pParabola->map;
   3482 
   3483     map[1] = Normal.x;
   3484     map[4] = Normal.y;
   3485     map[0] = -Normal.y;
   3486     map[3] = Normal.x;
   3487     map[2] = pPoint0->x - Normal.x*half_h;
   3488     map[5] = pPoint0->y - Normal.y*half_h;
   3489 
   3490     pParabola->a = 1/(4*half_h);
   3491     pParabola->focus = pFocus;
   3492     pParabola->directrice = pDirectrice;
   3493     pEdge->parabola = pParabola;
   3494 }//end of _cvCalcEdgeLP
   3495 
   3496 /* ///////////////////////////////////////////////////////////////////////////////////////
   3497 //                  Computation of intersections of bisectors                           //
   3498 /////////////////////////////////////////////////////////////////////////////////////// */
   3499 
   3500 static
   3501 float _cvCalcEdgeIntersection(pCvVoronoiEdge pEdge1,
   3502                               pCvVoronoiEdge pEdge2,
   3503                               CvPointFloat* pPoint,
   3504                               float &Radius)
   3505 {
   3506     if((pEdge1->parabola==NULL)&&(pEdge2->parabola==NULL))
   3507         return _cvLine_LineIntersection(pEdge1,pEdge2,pPoint,Radius);
   3508     if((pEdge1->parabola==NULL)&&(pEdge2->parabola!=NULL))
   3509         return _cvLine_ParIntersection(pEdge1,pEdge2,pPoint,Radius);
   3510     if((pEdge1->parabola!=NULL)&&(pEdge2->parabola==NULL))
   3511         return _cvPar_LineIntersection(pEdge1,pEdge2,pPoint,Radius);
   3512     if((pEdge1->parabola!=NULL)&&(pEdge2->parabola!=NULL))
   3513         return _cvPar_ParIntersection(pEdge1,pEdge2,pPoint,Radius);
   3514     return -1;
   3515 }//end of _cvCalcEdgeIntersection
   3516 
   3517 static
   3518 float _cvLine_LineIntersection(pCvVoronoiEdge pEdge1,
   3519                                 pCvVoronoiEdge pEdge2,
   3520                                 pCvPointFloat  pPoint,
   3521                                 float &Radius)
   3522 {
   3523     if(((pEdge1->node1 == pEdge2->node1 ||
   3524         pEdge1->node1 == pEdge2->node2) &&
   3525         pEdge1->node1 != NULL)||
   3526        ((pEdge1->node2 == pEdge2->node1 ||
   3527         pEdge1->node2 == pEdge2->node2) &&
   3528         pEdge1->node2 != NULL))
   3529         return -1;
   3530 
   3531     CvPointFloat Point1,Point3;
   3532     float det;
   3533     float k,m;
   3534     float x21,x43,y43,y21,x31,y31;
   3535 
   3536     if(pEdge1->node1!=NULL)
   3537     {
   3538         Point1.x = pEdge1->node1->node.x;
   3539         Point1.y = pEdge1->node1->node.y;
   3540     }
   3541     else
   3542     {
   3543         Point1.x = pEdge1->node2->node.x;
   3544         Point1.y = pEdge1->node2->node.y;
   3545     }
   3546     x21 = pEdge1->direction->x;
   3547     y21 = pEdge1->direction->y;
   3548 
   3549     if(pEdge2->node2==NULL)
   3550     {
   3551         Point3.x = pEdge2->node1->node.x;
   3552         Point3.y = pEdge2->node1->node.y;
   3553         x43 = pEdge2->direction->x;
   3554         y43 = pEdge2->direction->y;
   3555 
   3556     }
   3557     else if(pEdge2->node1==NULL)
   3558     {
   3559         Point3.x = pEdge2->node2->node.x;
   3560         Point3.y = pEdge2->node2->node.y;
   3561         x43 = pEdge2->direction->x;
   3562         y43 = pEdge2->direction->y;
   3563     }
   3564     else
   3565     {
   3566         Point3.x = pEdge2->node1->node.x;
   3567         Point3.y = pEdge2->node1->node.y;
   3568         x43 = pEdge2->node2->node.x - Point3.x;
   3569         y43 = pEdge2->node2->node.y - Point3.y;
   3570     }
   3571 
   3572     x31 = Point3.x - Point1.x;
   3573     y31 = Point3.y - Point1.y;
   3574 
   3575     det = y21*x43 - x21*y43;
   3576     if(fabs(det) < LEE_CONST_ZERO)
   3577         return -1;
   3578 
   3579     k = (x43*y31 - y43*x31)/det;
   3580     m = (x21*y31 - y21*x31)/det;
   3581 
   3582     if(k<-LEE_CONST_ACCEPTABLE_ERROR||m<-LEE_CONST_ACCEPTABLE_ERROR)
   3583         return -1;
   3584     if(((pEdge1->node2!=NULL)&&(pEdge1->node1!=NULL))&&(k>1.f+LEE_CONST_ACCEPTABLE_ERROR))
   3585         return -1;
   3586     if(((pEdge2->node2!=NULL)&&(pEdge2->node1!=NULL))&&(m>1.f+LEE_CONST_ACCEPTABLE_ERROR))
   3587         return -1;
   3588 
   3589     pPoint->x = (float)(k*x21) + Point1.x;
   3590     pPoint->y = (float)(k*y21) + Point1.y;
   3591 
   3592     Radius = _cvCalcDist(pPoint,pEdge1->site);
   3593     return _cvPPDist(pPoint,&Point1);;
   3594 }//end of _cvLine_LineIntersection
   3595 
   3596 static
   3597 float _cvLine_ParIntersection(pCvVoronoiEdge pEdge1,
   3598                                 pCvVoronoiEdge pEdge2,
   3599                                 pCvPointFloat  pPoint,
   3600                                 float &Radius)
   3601 {
   3602     if(pEdge2->node1==NULL||pEdge2->node2==NULL)
   3603         return _cvLine_OpenParIntersection(pEdge1,pEdge2,pPoint,Radius);
   3604     else
   3605         return _cvLine_CloseParIntersection(pEdge1,pEdge2,pPoint,Radius);
   3606 }//end of _cvLine_ParIntersection
   3607 
   3608 static
   3609 float _cvLine_OpenParIntersection(pCvVoronoiEdge pEdge1,
   3610                                 pCvVoronoiEdge pEdge2,
   3611                                 pCvPointFloat  pPoint,
   3612                                 float &Radius)
   3613 {
   3614     int IntersectionNumber = 1;
   3615     if(((pEdge1->node1 == pEdge2->node1 ||
   3616         pEdge1->node1 == pEdge2->node2) &&
   3617         pEdge1->node1 != NULL)||
   3618        ((pEdge1->node2 == pEdge2->node1 ||
   3619         pEdge1->node2 == pEdge2->node2) &&
   3620         pEdge1->node2 != NULL))
   3621         IntersectionNumber = 2;
   3622 
   3623     pCvPointFloat pRayPoint1;
   3624     if(pEdge1->node1!=NULL)
   3625         pRayPoint1 = &(pEdge1->node1->node);
   3626     else
   3627         pRayPoint1 = &(pEdge1->node2->node);
   3628 
   3629     pCvDirection pDirection = pEdge1->direction;
   3630     float* Parabola = pEdge2->parabola->map;
   3631 
   3632     pCvPointFloat pParPoint1;
   3633     if(pEdge2->node1==NULL)
   3634         pParPoint1 = &(pEdge2->node2->node);
   3635     else
   3636         pParPoint1 = &(pEdge2->node1->node);
   3637 
   3638     float InversParabola[6];
   3639     _cvCalcOrtogInverse(InversParabola, Parabola);
   3640 
   3641     CvPointFloat  Point,ParPoint1_img,RayPoint1_img;
   3642     CvDirection Direction_img;
   3643     _cvCalcPointImage(&RayPoint1_img, pRayPoint1, InversParabola);
   3644     _cvCalcVectorImage(&Direction_img,pDirection, InversParabola);
   3645 
   3646     float c2 = pEdge2->parabola->a*Direction_img.x;
   3647     float c1 = -Direction_img.y;
   3648     float c0 = Direction_img.y* RayPoint1_img.x - Direction_img.x*RayPoint1_img.y;
   3649     float X[2];
   3650     int N = _cvSolveEqu2thR(c2,c1,c0,X);
   3651     if(N==0)
   3652         return -1;
   3653 
   3654     _cvCalcPointImage(&ParPoint1_img, pParPoint1, InversParabola);
   3655     int sign_x = SIGN(Direction_img.x);
   3656     int sign_y = SIGN(Direction_img.y);
   3657     if(N==1)
   3658     {
   3659         if(X[0]<ParPoint1_img.x - LEE_CONST_ACCEPTABLE_ERROR)
   3660             return -1;
   3661         float pr0 = (X[0]-RayPoint1_img.x)*sign_x + \
   3662                     (pEdge2->parabola->a*X[0]*X[0]-RayPoint1_img.y)*sign_y;
   3663         if(pr0 <= -LEE_CONST_ACCEPTABLE_ERROR)
   3664             return -1;
   3665     }
   3666     else
   3667     {
   3668         if(X[1]<ParPoint1_img.x - LEE_CONST_ACCEPTABLE_ERROR)
   3669             return -1;
   3670         float pr0 = (X[0]-RayPoint1_img.x)*sign_x + \
   3671                         (pEdge2->parabola->a*X[0]*X[0]-RayPoint1_img.y)*sign_y;
   3672         float pr1 = (X[1]-RayPoint1_img.x)*sign_x + \
   3673                         (pEdge2->parabola->a*X[1]*X[1]-RayPoint1_img.y)*sign_y;
   3674 
   3675         if(pr0 <= -LEE_CONST_ACCEPTABLE_ERROR &&pr1 <= -LEE_CONST_ACCEPTABLE_ERROR)
   3676             return -1;
   3677 
   3678         if(pr0 >- LEE_CONST_ACCEPTABLE_ERROR && pr1 >- LEE_CONST_ACCEPTABLE_ERROR)
   3679         {
   3680             if(X[0] >= ParPoint1_img.x - LEE_CONST_ACCEPTABLE_ERROR)
   3681             {
   3682                 if(pr0>pr1)
   3683                     _cvSwap(X[0],X[1]);
   3684             }
   3685             else
   3686             {
   3687                 N=1;
   3688                 X[0] = X[1];
   3689             }
   3690         }
   3691         else if(pr0 >- LEE_CONST_ACCEPTABLE_ERROR)
   3692         {
   3693             N = 1;
   3694             if(X[0] < ParPoint1_img.x - LEE_CONST_ACCEPTABLE_ERROR)
   3695                 return -1;
   3696         }
   3697         else if(pr1 >- LEE_CONST_ACCEPTABLE_ERROR)
   3698         {
   3699             N=1;
   3700             X[0] = X[1];
   3701         }
   3702         else
   3703             return -1;
   3704     }
   3705 
   3706     Point.x = X[(N-1)*(IntersectionNumber - 1)];
   3707     Point.y = pEdge2->parabola->a*Point.x*Point.x;
   3708 
   3709     Radius = Point.y + 1.f/(4*pEdge2->parabola->a);
   3710     _cvCalcPointImage(pPoint,&Point,Parabola);
   3711     float dist = _cvPPDist(pPoint, pRayPoint1);
   3712     if(IntersectionNumber == 2 && dist < LEE_CONST_DIFF_POINTS)
   3713         return -1;
   3714     else
   3715         return dist;
   3716 }// end of _cvLine_OpenParIntersection
   3717 
   3718 static
   3719 float _cvLine_CloseParIntersection(pCvVoronoiEdge pEdge1,
   3720                                 pCvVoronoiEdge pEdge2,
   3721                                 pCvPointFloat  pPoint,
   3722                                 float &Radius)
   3723 {
   3724     int IntersectionNumber = 1;
   3725     if(((pEdge1->node1 == pEdge2->node1 ||
   3726         pEdge1->node1 == pEdge2->node2) &&
   3727         pEdge1->node1 != NULL)||
   3728        ((pEdge1->node2 == pEdge2->node1 ||
   3729         pEdge1->node2 == pEdge2->node2) &&
   3730         pEdge1->node2 != NULL))
   3731         IntersectionNumber = 2;
   3732 
   3733     pCvPointFloat pRayPoint1;
   3734     if(pEdge1->node1!=NULL)
   3735         pRayPoint1 = &(pEdge1->node1->node);
   3736     else
   3737         pRayPoint1 = &(pEdge1->node2->node);
   3738 
   3739     pCvDirection pDirection = pEdge1->direction;
   3740     float* Parabola = pEdge2->parabola->map;
   3741 
   3742     pCvPointFloat pParPoint1,pParPoint2;
   3743     pParPoint2 = &(pEdge2->node1->node);
   3744     pParPoint1 = &(pEdge2->node2->node);
   3745 
   3746 
   3747     float InversParabola[6];
   3748     _cvCalcOrtogInverse(InversParabola, Parabola);
   3749 
   3750     CvPointFloat  Point,ParPoint1_img,ParPoint2_img,RayPoint1_img;
   3751     CvDirection Direction_img;
   3752     _cvCalcPointImage(&RayPoint1_img, pRayPoint1, InversParabola);
   3753     _cvCalcVectorImage(&Direction_img,pDirection, InversParabola);
   3754 
   3755     float c2 = pEdge2->parabola->a*Direction_img.x;
   3756     float c1 = -Direction_img.y;
   3757     float c0 = Direction_img.y* RayPoint1_img.x - Direction_img.x*RayPoint1_img.y;
   3758     float X[2];
   3759     int N = _cvSolveEqu2thR(c2,c1,c0,X);
   3760     if(N==0)
   3761         return -1;
   3762 
   3763     _cvCalcPointImage(&ParPoint1_img, pParPoint1, InversParabola);
   3764     _cvCalcPointImage(&ParPoint2_img, pParPoint2, InversParabola);
   3765     if(ParPoint1_img.x>ParPoint2_img.x)
   3766         _cvSwap(ParPoint1_img,ParPoint2_img);
   3767     int sign_x = SIGN(Direction_img.x);
   3768     int sign_y = SIGN(Direction_img.y);
   3769     if(N==1)
   3770     {
   3771         if((X[0]<ParPoint1_img.x - LEE_CONST_ACCEPTABLE_ERROR) ||
   3772            (X[0]>ParPoint2_img.x + LEE_CONST_ACCEPTABLE_ERROR))
   3773             return -1;
   3774         float pr0 = (X[0]-RayPoint1_img.x)*sign_x + \
   3775                     (pEdge2->parabola->a*X[0]*X[0]-RayPoint1_img.y)*sign_y;
   3776         if(pr0 <= -LEE_CONST_ACCEPTABLE_ERROR)
   3777             return -1;
   3778     }
   3779     else
   3780     {
   3781         if((X[1]<ParPoint1_img.x - LEE_CONST_ACCEPTABLE_ERROR) ||
   3782            (X[0]>ParPoint2_img.x + LEE_CONST_ACCEPTABLE_ERROR))
   3783             return -1;
   3784 
   3785         if((X[0]<ParPoint1_img.x - LEE_CONST_ACCEPTABLE_ERROR) &&
   3786            (X[1]>ParPoint2_img.x + LEE_CONST_ACCEPTABLE_ERROR))
   3787             return -1;
   3788 
   3789         float pr0 = (X[0]-RayPoint1_img.x)*sign_x + \
   3790                     (pEdge2->parabola->a*X[0]*X[0]-RayPoint1_img.y)*sign_y;
   3791         float pr1 = (X[1]-RayPoint1_img.x)*sign_x + \
   3792                     (pEdge2->parabola->a*X[1]*X[1]-RayPoint1_img.y)*sign_y;
   3793 
   3794         if(pr0 <= -LEE_CONST_ACCEPTABLE_ERROR && pr1 <= -LEE_CONST_ACCEPTABLE_ERROR)
   3795             return -1;
   3796 
   3797         if(pr0 > -LEE_CONST_ACCEPTABLE_ERROR && pr1 > -LEE_CONST_ACCEPTABLE_ERROR)
   3798         {
   3799             if(X[0] >= ParPoint1_img.x - LEE_CONST_ACCEPTABLE_ERROR)
   3800             {
   3801                 if(X[1] <= ParPoint2_img.x + LEE_CONST_ACCEPTABLE_ERROR)
   3802                 {
   3803                     if(pr0>pr1)
   3804                         _cvSwap(X[0], X[1]);
   3805                 }
   3806                 else
   3807                     N=1;
   3808             }
   3809             else
   3810             {
   3811                 N=1;
   3812                 X[0] = X[1];
   3813             }
   3814         }
   3815         else if(pr0 > -LEE_CONST_ACCEPTABLE_ERROR)
   3816         {
   3817 
   3818             if(X[0] >= ParPoint1_img.x - LEE_CONST_ACCEPTABLE_ERROR)
   3819                 N=1;
   3820             else
   3821                 return -1;
   3822         }
   3823         else if(pr1 > -LEE_CONST_ACCEPTABLE_ERROR)
   3824         {
   3825             if(X[1] <= ParPoint2_img.x + LEE_CONST_ACCEPTABLE_ERROR)
   3826             {
   3827                 N=1;
   3828                 X[0] = X[1];
   3829             }
   3830             else
   3831                 return -1;
   3832         }
   3833         else
   3834             return -1;
   3835     }
   3836 
   3837     Point.x = X[(N-1)*(IntersectionNumber - 1)];
   3838     Point.y = pEdge2->parabola->a*Point.x*Point.x;
   3839     Radius = Point.y + 1.f/(4*pEdge2->parabola->a);
   3840     _cvCalcPointImage(pPoint,&Point,Parabola);
   3841     float dist = _cvPPDist(pPoint, pRayPoint1);
   3842     if(IntersectionNumber == 2 && dist < LEE_CONST_DIFF_POINTS)
   3843         return -1;
   3844     else
   3845         return dist;
   3846 }// end of _cvLine_CloseParIntersection
   3847 
   3848 static
   3849 float _cvPar_LineIntersection(pCvVoronoiEdge pEdge1,
   3850                                 pCvVoronoiEdge pEdge2,
   3851                                 pCvPointFloat  pPoint,
   3852                                 float &Radius)
   3853 {
   3854     if(pEdge2->node1==NULL||pEdge2->node2==NULL)
   3855         return _cvPar_OpenLineIntersection(pEdge1,pEdge2,pPoint,Radius);
   3856     else
   3857         return _cvPar_CloseLineIntersection(pEdge1,pEdge2,pPoint,Radius);
   3858 }//end _cvPar_LineIntersection
   3859 
   3860 static
   3861 float _cvPar_OpenLineIntersection(pCvVoronoiEdge pEdge1,
   3862                                 pCvVoronoiEdge pEdge2,
   3863                                 pCvPointFloat  pPoint,
   3864                                 float &Radius)
   3865 {
   3866     int i, IntersectionNumber = 1;
   3867     if(((pEdge1->node1 == pEdge2->node1 ||
   3868         pEdge1->node1 == pEdge2->node2) &&
   3869         pEdge1->node1 != NULL)||
   3870        ((pEdge1->node2 == pEdge2->node1 ||
   3871         pEdge1->node2 == pEdge2->node2) &&
   3872         pEdge1->node2 != NULL))
   3873         IntersectionNumber = 2;
   3874 
   3875     float* Parabola = pEdge1->parabola->map;
   3876     pCvPointFloat pParPoint1;
   3877     if(pEdge1->node1!=NULL)
   3878         pParPoint1 = &(pEdge1->node1->node);
   3879     else
   3880         pParPoint1 = &(pEdge1->node2->node);
   3881 
   3882     pCvPointFloat pRayPoint1;
   3883     if(pEdge2->node1==NULL)
   3884         pRayPoint1 = &(pEdge2->node2->node);
   3885     else
   3886         pRayPoint1 = &(pEdge2->node1->node);
   3887     pCvDirection pDirection = pEdge2->direction;
   3888 
   3889 
   3890     float InversParabola[6];
   3891     _cvCalcOrtogInverse(InversParabola, Parabola);
   3892 
   3893     CvPointFloat  Point = {0,0},ParPoint1_img,RayPoint1_img;
   3894     CvDirection Direction_img;
   3895     _cvCalcVectorImage(&Direction_img,pDirection, InversParabola);
   3896     _cvCalcPointImage(&RayPoint1_img, pRayPoint1, InversParabola);
   3897 
   3898 
   3899     float q = RayPoint1_img.y - pEdge1->parabola->a*RayPoint1_img.x*RayPoint1_img.x;
   3900     if(pEdge2->site->node1 == pEdge2->site->node2 && q < 0 ||
   3901         pEdge2->site->node1 != pEdge2->site->node2 && q > 0)
   3902         return -1;
   3903 
   3904     float c2 = pEdge1->parabola->a*Direction_img.x;
   3905     float c1 = -Direction_img.y;
   3906     float c0 = Direction_img.y* RayPoint1_img.x - Direction_img.x*RayPoint1_img.y;
   3907     float X[2];
   3908     int N = _cvSolveEqu2thR(c2,c1,c0,X);
   3909     if(N==0)
   3910         return -1;
   3911 
   3912     _cvCalcPointImage(&ParPoint1_img, pParPoint1, InversParabola);
   3913     int sign_x = SIGN(Direction_img.x);
   3914     int sign_y = SIGN(Direction_img.y);
   3915     float pr;
   3916 
   3917     if(N==2 && IntersectionNumber == 2)
   3918         _cvSwap(X[0], X[1]);
   3919 
   3920     for( i=0;i<N;i++)
   3921     {
   3922         if(X[i]<=ParPoint1_img.x - LEE_CONST_ACCEPTABLE_ERROR)
   3923             continue;
   3924         pr = (X[i]-RayPoint1_img.x)*sign_x +
   3925                         (pEdge1->parabola->a*X[i]*X[i]-RayPoint1_img.y)*sign_y;
   3926         if(pr <= -LEE_CONST_ACCEPTABLE_ERROR)
   3927             continue;
   3928         else
   3929         {
   3930             Point.x = X[i];
   3931             break;
   3932         }
   3933     }
   3934 
   3935     if(i==N)
   3936         return -1;
   3937 
   3938     Point.y = pEdge1->parabola->a*Point.x*Point.x;
   3939     Radius = Point.y + 1.f/(4*pEdge1->parabola->a);
   3940     _cvCalcPointImage(pPoint,&Point,Parabola);
   3941     float dist = Point.x - ParPoint1_img.x;
   3942     if(IntersectionNumber == 2 && dist < LEE_CONST_DIFF_POINTS)
   3943         return -1;
   3944     else
   3945         return dist;
   3946 }// end of _cvPar_OpenLineIntersection
   3947 
   3948 static
   3949 float _cvPar_CloseLineIntersection(pCvVoronoiEdge pEdge1,
   3950                                     pCvVoronoiEdge pEdge2,
   3951                                     pCvPointFloat  pPoint,
   3952                                     float &Radius)
   3953 {
   3954     int i, IntersectionNumber = 1;
   3955     if(((pEdge1->node1 == pEdge2->node1 ||
   3956         pEdge1->node1 == pEdge2->node2) &&
   3957         pEdge1->node1 != NULL)||
   3958        ((pEdge1->node2 == pEdge2->node1 ||
   3959         pEdge1->node2 == pEdge2->node2) &&
   3960         pEdge1->node2 != NULL))
   3961         IntersectionNumber = 2;
   3962 
   3963     float* Parabola = pEdge1->parabola->map;
   3964     pCvPointFloat pParPoint1;
   3965     if(pEdge1->node1!=NULL)
   3966         pParPoint1 = &(pEdge1->node1->node);
   3967     else
   3968         pParPoint1 = &(pEdge1->node2->node);
   3969 
   3970     pCvPointFloat pRayPoint1,pRayPoint2;
   3971     pRayPoint2 = &(pEdge2->node1->node);
   3972     pRayPoint1 = &(pEdge2->node2->node);
   3973 
   3974     pCvDirection pDirection = pEdge2->direction;
   3975     float InversParabola[6];
   3976     _cvCalcOrtogInverse(InversParabola, Parabola);
   3977 
   3978     CvPointFloat  Point={0,0},ParPoint1_img,RayPoint1_img,RayPoint2_img;
   3979     CvDirection Direction_img;
   3980     _cvCalcPointImage(&RayPoint1_img, pRayPoint1, InversParabola);
   3981     _cvCalcPointImage(&RayPoint2_img, pRayPoint2, InversParabola);
   3982 
   3983     float q;
   3984     if(Radius == -1)
   3985     {
   3986          q = RayPoint1_img.y - pEdge1->parabola->a*RayPoint1_img.x*RayPoint1_img.x;
   3987          if(pEdge2->site->node1 == pEdge2->site->node2 && q < 0 ||
   3988             pEdge2->site->node1 != pEdge2->site->node2 && q > 0)
   3989                 return -1;
   3990     }
   3991     if(Radius == -2)
   3992     {
   3993          q = RayPoint2_img.y - pEdge1->parabola->a*RayPoint2_img.x*RayPoint2_img.x;
   3994         if(pEdge2->site->node1 == pEdge2->site->node2 && q < 0 ||
   3995             pEdge2->site->node1 != pEdge2->site->node2 && q > 0)
   3996                 return -1;
   3997     }
   3998 
   3999     _cvCalcPointImage(&ParPoint1_img, pParPoint1, InversParabola);
   4000     _cvCalcVectorImage(&Direction_img,pDirection, InversParabola);
   4001 
   4002     float c2 = pEdge1->parabola->a*Direction_img.x;
   4003     float c1 = -Direction_img.y;
   4004     float c0 = Direction_img.y* RayPoint1_img.x - Direction_img.x*RayPoint1_img.y;
   4005     float X[2];
   4006     int N = _cvSolveEqu2thR(c2,c1,c0,X);
   4007     if(N==0)
   4008         return -1;
   4009     int sign_x = SIGN(RayPoint2_img.x - RayPoint1_img.x);
   4010     int sign_y = SIGN(RayPoint2_img.y - RayPoint1_img.y);
   4011     float pr_dir = (RayPoint2_img.x - RayPoint1_img.x)*sign_x +
   4012                    (RayPoint2_img.y - RayPoint1_img.y)*sign_y;
   4013     float pr;
   4014 
   4015     if(N==2 && IntersectionNumber == 2)
   4016         _cvSwap(X[0], X[1]);
   4017 
   4018     for( i =0;i<N;i++)
   4019     {
   4020         if(X[i] <= ParPoint1_img.x - LEE_CONST_ACCEPTABLE_ERROR)
   4021             continue;
   4022         pr = (X[i]-RayPoint1_img.x)*sign_x + \
   4023              (pEdge1->parabola->a*X[i]*X[i]-RayPoint1_img.y)*sign_y;
   4024         if(pr <= -LEE_CONST_ACCEPTABLE_ERROR || pr>=pr_dir + LEE_CONST_ACCEPTABLE_ERROR)
   4025             continue;
   4026         else
   4027         {
   4028             Point.x = X[i];
   4029             break;
   4030         }
   4031     }
   4032 
   4033     if(i==N)
   4034         return -1;
   4035 
   4036     Point.y = pEdge1->parabola->a*Point.x*Point.x;
   4037     Radius = Point.y + 1.f/(4*pEdge1->parabola->a);
   4038     _cvCalcPointImage(pPoint,&Point,Parabola);
   4039     float dist = Point.x - ParPoint1_img.x;
   4040     if(IntersectionNumber == 2 && dist < LEE_CONST_DIFF_POINTS)
   4041         return -1;
   4042     else
   4043         return dist;
   4044 }// end of _cvPar_CloseLineIntersection
   4045 
   4046 static
   4047 float _cvPar_ParIntersection(pCvVoronoiEdge pEdge1,
   4048                             pCvVoronoiEdge pEdge2,
   4049                             pCvPointFloat  pPoint,
   4050                             float &Radius)
   4051 {
   4052     if(pEdge2->node1==NULL||pEdge2->node2==NULL)
   4053         return _cvPar_OpenParIntersection(pEdge1,pEdge2,pPoint,Radius);
   4054     else
   4055         return _cvPar_CloseParIntersection(pEdge1,pEdge2,pPoint,Radius);
   4056 }// end of _cvPar_ParIntersection
   4057 
   4058 static
   4059 float _cvPar_OpenParIntersection(pCvVoronoiEdge pEdge1,
   4060                             pCvVoronoiEdge pEdge2,
   4061                             pCvPointFloat  pPoint,
   4062                             float &Radius)
   4063 {
   4064     int i, IntersectionNumber = 1;
   4065     if(((pEdge1->node1 == pEdge2->node1 ||
   4066         pEdge1->node1 == pEdge2->node2) &&
   4067         pEdge1->node1 != NULL)||
   4068        ((pEdge1->node2 == pEdge2->node1 ||
   4069         pEdge1->node2 == pEdge2->node2) &&
   4070         pEdge1->node2 != NULL))
   4071         IntersectionNumber = 2;
   4072 
   4073     float* Parabola1 = pEdge1->parabola->map;
   4074     pCvPointFloat pPar1Point1;
   4075     if(pEdge1->node1!=NULL)
   4076         pPar1Point1 = &(pEdge1->node1->node);
   4077     else
   4078         pPar1Point1 = &(pEdge1->node2->node);
   4079 
   4080     float* Parabola2 = pEdge2->parabola->map;
   4081     pCvPointFloat pPar2Point1;
   4082     if(pEdge2->node1!=NULL)
   4083         pPar2Point1 = &(pEdge2->node1->node);
   4084     else
   4085         pPar2Point1 = &(pEdge2->node2->node);
   4086 
   4087     CvPointFloat Point;
   4088     CvDirection Direction;
   4089     if(pEdge1->parabola->directrice==pEdge2->parabola->directrice)  //common site is segment -> different focuses
   4090     {
   4091         pCvPointFloat pFocus1 = &(pEdge1->parabola->focus->node);
   4092         pCvPointFloat pFocus2 = &(pEdge2->parabola->focus->node);
   4093 
   4094         Point.x = (pFocus1->x + pFocus2->x)/2;
   4095         Point.y = (pFocus1->y + pFocus2->y)/2;
   4096         Direction.x = pFocus1->y - pFocus2->y;
   4097         Direction.y = pFocus2->x - pFocus1->x;
   4098     }
   4099     else//common site is focus -> different directrices
   4100     {
   4101         pCvVoronoiSite pDirectrice1 = pEdge1->parabola->directrice;
   4102         pCvPointFloat pPoint1 = &(pDirectrice1->node1->node);
   4103         pCvDirection pVector21 = pDirectrice1->direction;
   4104 
   4105         pCvVoronoiSite pDirectrice2 = pEdge2->parabola->directrice;
   4106         pCvPointFloat pPoint3 = &(pDirectrice2->node1->node);
   4107         pCvDirection pVector43 = pDirectrice2->direction;
   4108 
   4109         Direction.x = pVector43->x - pVector21->x;
   4110         Direction.y = pVector43->y - pVector21->y;
   4111 
   4112         if((fabs(Direction.x) < LEE_CONST_ZERO) &&
   4113            (fabs(Direction.y) < LEE_CONST_ZERO))
   4114                 Direction = *pVector43;
   4115 
   4116         float det = pVector21->y * pVector43->x - pVector21->x * pVector43->y;
   4117         if(fabs(det) < LEE_CONST_ZERO)
   4118         {
   4119             Point.x = (pPoint1->x + pPoint3->x)/2;
   4120             Point.y = (pPoint1->y + pPoint3->y)/2;
   4121         }
   4122         else
   4123         {
   4124             float d1 = pVector21->y*pPoint1->x - pVector21->x*pPoint1->y;
   4125             float d2 = pVector43->y*pPoint3->x - pVector43->x*pPoint3->y;
   4126             Point.x = (float)((pVector43->x*d1 - pVector21->x*d2)/det);
   4127             Point.y = (float)((pVector43->y*d1 - pVector21->y*d2)/det);
   4128         }
   4129     }
   4130 
   4131     float InversParabola2[6];
   4132     _cvCalcOrtogInverse(InversParabola2, Parabola2);
   4133 
   4134     CvPointFloat  Par2Point1_img,Point_img;
   4135     CvDirection Direction_img;
   4136     _cvCalcVectorImage(&Direction_img,&Direction, InversParabola2);
   4137     _cvCalcPointImage(&Point_img, &Point, InversParabola2);
   4138 
   4139     float a1 = pEdge1->parabola->a;
   4140     float a2 = pEdge2->parabola->a;
   4141     float c2 = a2*Direction_img.x;
   4142     float c1 = -Direction_img.y;
   4143     float c0 = Direction_img.y* Point_img.x - Direction_img.x*Point_img.y;
   4144     float X[2];
   4145     int N = _cvSolveEqu2thR(c2,c1,c0,X);
   4146 
   4147     if(N==0)
   4148         return -1;
   4149 
   4150     _cvCalcPointImage(&Par2Point1_img, pPar2Point1, InversParabola2);
   4151 
   4152     if(X[N-1]<Par2Point1_img.x)
   4153         return -1;
   4154 
   4155     if(X[0]<Par2Point1_img.x)
   4156     {
   4157         X[0] = X[1];
   4158         N=1;
   4159     }
   4160 
   4161     float InversParabola1[6];
   4162     CvPointFloat Par1Point1_img;
   4163     _cvCalcOrtogInverse(InversParabola1, Parabola1);
   4164     _cvCalcPointImage(&Par1Point1_img, pPar1Point1, InversParabola1);
   4165     float InvPar1_Par2[6];
   4166     _cvCalcComposition(InvPar1_Par2,InversParabola1,Parabola2);
   4167     for(i=0;i<N;i++)
   4168         X[i] = (InvPar1_Par2[1]*a2*X[i] + InvPar1_Par2[0])*X[i] +  InvPar1_Par2[2];
   4169 
   4170     if(N!=1)
   4171     {
   4172         if((X[0]>X[1] && IntersectionNumber == 1)||
   4173             (X[0]<X[1] && IntersectionNumber == 2))
   4174             _cvSwap(X[0], X[1]);
   4175     }
   4176 
   4177     for(i = 0;i<N;i++)
   4178     {
   4179         Point.x = X[i];
   4180         Point.y = a1*Point.x*Point.x;
   4181         if(Point.x < Par1Point1_img.x - LEE_CONST_ACCEPTABLE_ERROR)
   4182             continue;
   4183         else
   4184             break;
   4185     }
   4186 
   4187     if(i==N)
   4188         return -1;
   4189 
   4190     Radius = Point.y + 1.f/(4*pEdge1->parabola->a);
   4191     _cvCalcPointImage(pPoint,&Point,Parabola1);
   4192     float dist = Point.x - Par1Point1_img.x;
   4193     if(IntersectionNumber == 2 && dist < LEE_CONST_DIFF_POINTS)
   4194         return -1;
   4195     else
   4196         return dist;
   4197 }// end of _cvPar_OpenParIntersection
   4198 
   4199 static
   4200 float _cvPar_CloseParIntersection(pCvVoronoiEdge pEdge1,
   4201                                   pCvVoronoiEdge pEdge2,
   4202                                   pCvPointFloat  pPoint,
   4203                                   float &Radius)
   4204 {
   4205     int i, IntersectionNumber = 1;
   4206     if(((pEdge1->node1 == pEdge2->node1 ||
   4207         pEdge1->node1 == pEdge2->node2) &&
   4208         pEdge1->node1 != NULL)||
   4209        ((pEdge1->node2 == pEdge2->node1 ||
   4210         pEdge1->node2 == pEdge2->node2) &&
   4211         pEdge1->node2 != NULL))
   4212         IntersectionNumber = 2;
   4213 
   4214     float* Parabola1 = pEdge1->parabola->map;
   4215     float* Parabola2 = pEdge2->parabola->map;
   4216     pCvPointFloat pPar1Point1;
   4217     if(pEdge1->node1!=NULL)
   4218         pPar1Point1 = &(pEdge1->node1->node);
   4219     else
   4220         pPar1Point1 = &(pEdge1->node2->node);
   4221 
   4222     pCvPointFloat pPar2Point1 = &(pEdge2->node1->node);
   4223     pCvPointFloat pPar2Point2 = &(pEdge2->node2->node);
   4224 
   4225     CvPointFloat Point;
   4226     CvDirection Direction;
   4227     if(pEdge1->parabola->directrice==pEdge2->parabola->directrice)  //common site is segment -> different focuses
   4228     {
   4229         pCvPointFloat pFocus1 = &(pEdge1->parabola->focus->node);
   4230         pCvPointFloat pFocus2 = &(pEdge2->parabola->focus->node);
   4231 
   4232         Point.x = (pFocus1->x + pFocus2->x)/2;
   4233         Point.y = (pFocus1->y + pFocus2->y)/2;
   4234         Direction.x = pFocus1->y - pFocus2->y;
   4235         Direction.y = pFocus2->x - pFocus1->x;
   4236     }
   4237     else//common site is focus -> different directrices
   4238     {
   4239         pCvVoronoiSite pDirectrice1 = pEdge1->parabola->directrice;
   4240         pCvPointFloat pPoint1 = &(pDirectrice1->node1->node);
   4241         pCvDirection pVector21 = pDirectrice1->direction;
   4242 
   4243         pCvVoronoiSite pDirectrice2 = pEdge2->parabola->directrice;
   4244         pCvPointFloat pPoint3 = &(pDirectrice2->node1->node);
   4245         pCvDirection pVector43 = pDirectrice2->direction;
   4246 
   4247         Direction.x = pVector43->x - pVector21->x;
   4248         Direction.y = pVector43->y - pVector21->y;
   4249 
   4250         if((fabs(Direction.x) < LEE_CONST_ZERO) &&
   4251            (fabs(Direction.y) < LEE_CONST_ZERO))
   4252                 Direction = *pVector43;
   4253 
   4254         float det = pVector21->y * pVector43->x - pVector21->x * pVector43->y;
   4255         if(fabs(det) < LEE_CONST_ZERO)
   4256         {
   4257             Point.x = (pPoint1->x + pPoint3->x)/2;
   4258             Point.y = (pPoint1->y + pPoint3->y)/2;
   4259         }
   4260         else
   4261         {
   4262             float d1 = pVector21->y*pPoint1->x - pVector21->x*pPoint1->y;
   4263             float d2 = pVector43->y*pPoint3->x - pVector43->x*pPoint3->y;
   4264             Point.x = (float)((pVector43->x*d1 - pVector21->x*d2)/det);
   4265             Point.y = (float)((pVector43->y*d1 - pVector21->y*d2)/det);
   4266         }
   4267     }
   4268 
   4269 
   4270 
   4271     float InversParabola2[6];
   4272     _cvCalcOrtogInverse(InversParabola2, Parabola2);
   4273 
   4274     CvPointFloat  Par2Point1_img,Par2Point2_img,Point_img;
   4275     CvDirection Direction_img;
   4276     _cvCalcVectorImage(&Direction_img,&Direction, InversParabola2);
   4277     _cvCalcPointImage(&Point_img, &Point, InversParabola2);
   4278 
   4279     float a1 = pEdge1->parabola->a;
   4280     float a2 = pEdge2->parabola->a;
   4281     float c2 = a2*Direction_img.x;
   4282     float c1 = -Direction_img.y;
   4283     float c0 = Direction_img.y* Point_img.x - Direction_img.x*Point_img.y;
   4284     float X[2];
   4285     int N = _cvSolveEqu2thR(c2,c1,c0,X);
   4286 
   4287     if(N==0)
   4288         return -1;
   4289 
   4290     _cvCalcPointImage(&Par2Point1_img, pPar2Point1, InversParabola2);
   4291     _cvCalcPointImage(&Par2Point2_img, pPar2Point2, InversParabola2);
   4292     if(Par2Point1_img.x>Par2Point2_img.x)
   4293         _cvSwap(Par2Point1_img,Par2Point2_img);
   4294 
   4295     if(X[0]>Par2Point2_img.x||X[N-1]<Par2Point1_img.x)
   4296         return -1;
   4297 
   4298     if(X[0]<Par2Point1_img.x)
   4299     {
   4300         if(X[1]<Par2Point2_img.x)
   4301         {
   4302             X[0] = X[1];
   4303             N=1;
   4304         }
   4305         else
   4306             return -1;
   4307     }
   4308     else if(X[N-1]>Par2Point2_img.x)
   4309             N=1;
   4310 
   4311     float InversParabola1[6];
   4312     CvPointFloat Par1Point1_img;
   4313     _cvCalcOrtogInverse(InversParabola1, Parabola1);
   4314     _cvCalcPointImage(&Par1Point1_img, pPar1Point1, InversParabola1);
   4315     float InvPar1_Par2[6];
   4316     _cvCalcComposition(InvPar1_Par2,InversParabola1,Parabola2);
   4317     for(i=0;i<N;i++)
   4318         X[i] = (InvPar1_Par2[1]*a2*X[i] + InvPar1_Par2[0])*X[i] +  InvPar1_Par2[2];
   4319 
   4320     if(N!=1)
   4321     {
   4322         if((X[0]>X[1] && IntersectionNumber == 1)||
   4323             (X[0]<X[1] && IntersectionNumber == 2))
   4324             _cvSwap(X[0], X[1]);
   4325     }
   4326 
   4327 
   4328     for(i = 0;i<N;i++)
   4329     {
   4330         Point.x = (float)X[i];
   4331         Point.y = (float)a1*Point.x*Point.x;
   4332         if(Point.x < Par1Point1_img.x - LEE_CONST_ACCEPTABLE_ERROR)
   4333             continue;
   4334         else
   4335             break;
   4336     }
   4337 
   4338     if(i==N)
   4339         return -1;
   4340 
   4341     Radius = Point.y + 1.f/(4*a1);
   4342     _cvCalcPointImage(pPoint,&Point,Parabola1);
   4343     float dist = Point.x - Par1Point1_img.x;
   4344     if(IntersectionNumber == 2 && dist < LEE_CONST_DIFF_POINTS)
   4345         return -1;
   4346     else
   4347         return dist;
   4348 }// end of _cvPar_CloseParIntersection
   4349 
   4350 /* ///////////////////////////////////////////////////////////////////////////////////////
   4351 //                           Subsidiary functions                                       //
   4352 /////////////////////////////////////////////////////////////////////////////////////// */
   4353 
   4354 CV_INLINE
   4355 void _cvMakeTwinEdge(pCvVoronoiEdge pEdge2,
   4356                     pCvVoronoiEdge pEdge1)
   4357 {
   4358     pEdge2->direction = pEdge1->direction;
   4359     pEdge2->parabola = pEdge1->parabola;
   4360     pEdge2->node1 = pEdge1->node2;
   4361     pEdge2->twin_edge = pEdge1;
   4362     pEdge1->twin_edge = pEdge2;
   4363 }//end of _cvMakeTwinEdge
   4364 
   4365 CV_INLINE
   4366 void _cvStickEdgeLeftBegin(pCvVoronoiEdge pEdge,
   4367                           pCvVoronoiEdge pEdge_left_prev,
   4368                           pCvVoronoiSite pSite_left)
   4369 {
   4370     pEdge->prev_edge = pEdge_left_prev;
   4371     pEdge->site = pSite_left;
   4372     if(pEdge_left_prev == NULL)
   4373         pSite_left->edge2 = pEdge;
   4374     else
   4375     {
   4376         pEdge_left_prev->node2 = pEdge->node1;
   4377         pEdge_left_prev->next_edge = pEdge;
   4378     }
   4379 }//end of _cvStickEdgeLeftBegin
   4380 
   4381 CV_INLINE
   4382 void _cvStickEdgeRightBegin(pCvVoronoiEdge pEdge,
   4383                           pCvVoronoiEdge pEdge_right_next,
   4384                           pCvVoronoiSite pSite_right)
   4385 {
   4386     pEdge->next_edge = pEdge_right_next;
   4387     pEdge->site = pSite_right;
   4388     if(pEdge_right_next == NULL)
   4389         pSite_right->edge1 = pEdge;
   4390     else
   4391     {
   4392         pEdge_right_next->node1 = pEdge->node2;
   4393         pEdge_right_next->prev_edge = pEdge;
   4394     }
   4395 }// end of _cvStickEdgeRightBegin
   4396 
   4397 CV_INLINE
   4398 void _cvStickEdgeLeftEnd(pCvVoronoiEdge pEdge,
   4399                         pCvVoronoiEdge pEdge_left_next,
   4400                         pCvVoronoiSite pSite_left)
   4401 {
   4402     pEdge->next_edge = pEdge_left_next;
   4403     if(pEdge_left_next == NULL)
   4404         pSite_left->edge1 = pEdge;
   4405     else
   4406     {
   4407         pEdge_left_next->node1 = pEdge->node2;
   4408         pEdge_left_next->prev_edge = pEdge;
   4409     }
   4410 }//end of _cvStickEdgeLeftEnd
   4411 
   4412 CV_INLINE
   4413 void _cvStickEdgeRightEnd(pCvVoronoiEdge pEdge,
   4414                          pCvVoronoiEdge pEdge_right_prev,
   4415                          pCvVoronoiSite pSite_right)
   4416 {
   4417     pEdge->prev_edge = pEdge_right_prev;
   4418     if(pEdge_right_prev == NULL)
   4419         pSite_right->edge2 = pEdge;
   4420     else
   4421     {
   4422         pEdge_right_prev->node2 = pEdge->node1;
   4423         pEdge_right_prev->next_edge = pEdge;
   4424     }
   4425 }//end of _cvStickEdgeRightEnd
   4426 
   4427 template <class T> CV_INLINE
   4428 void _cvInitVoronoiNode(pCvVoronoiNode pNode,
   4429                         T pPoint,
   4430                         float radius)
   4431 {
   4432     pNode->node.x = (float)pPoint->x;
   4433     pNode->node.y = (float)pPoint->y;
   4434     pNode->radius = radius;
   4435 }//end of _cvInitVoronoiNode
   4436 
   4437 CV_INLINE
   4438 void _cvInitVoronoiSite(pCvVoronoiSite pSite,
   4439                        pCvVoronoiNode pNode1,
   4440                        pCvVoronoiNode pNode2,
   4441                        pCvVoronoiSite pPrev_site)
   4442 {
   4443     pSite->node1 = pNode1;
   4444     pSite->node2 = pNode2;
   4445     pSite->prev_site = pPrev_site;
   4446 }//end of _cvInitVoronoiSite
   4447 
   4448 template <class T> CV_INLINE
   4449 T _cvSeqPush(CvSeq* Seq, T pElem)
   4450 {
   4451     cvSeqPush(Seq, pElem);
   4452     return (T)(Seq->ptr - Seq->elem_size);
   4453 //  return (T)cvGetSeqElem(Seq, Seq->total - 1,NULL);
   4454 }//end of _cvSeqPush
   4455 
   4456 template <class T> CV_INLINE
   4457 T _cvSeqPushFront(CvSeq* Seq, T pElem)
   4458 {
   4459     cvSeqPushFront(Seq,pElem);
   4460     return (T)Seq->first->data;
   4461 //  return (T)cvGetSeqElem(Seq,0,NULL);
   4462 }//end of _cvSeqPushFront
   4463 
   4464 CV_INLINE
   4465 void _cvTwinNULLLeft(pCvVoronoiEdge pEdge_left_cur,
   4466                     pCvVoronoiEdge pEdge_left)
   4467 {
   4468     while(pEdge_left_cur!=pEdge_left)
   4469     {
   4470         if(pEdge_left_cur->twin_edge!=NULL)
   4471             pEdge_left_cur->twin_edge->twin_edge = NULL;
   4472         pEdge_left_cur = pEdge_left_cur->next_edge;
   4473     }
   4474 }//end of _cvTwinNULLLeft
   4475 
   4476 CV_INLINE
   4477 void _cvTwinNULLRight(pCvVoronoiEdge pEdge_right_cur,
   4478                      pCvVoronoiEdge pEdge_right)
   4479 {
   4480     while(pEdge_right_cur!=pEdge_right)
   4481     {
   4482         if(pEdge_right_cur->twin_edge!=NULL)
   4483             pEdge_right_cur->twin_edge->twin_edge = NULL;
   4484         pEdge_right_cur = pEdge_right_cur->prev_edge;
   4485     }
   4486 }//end of _cvTwinNULLRight
   4487 
   4488 CV_INLINE
   4489 void _cvSeqPushInOrder(CvVoronoiDiagramInt* pVoronoiDiagram, pCvVoronoiHole pHole)
   4490 {
   4491     pHole = _cvSeqPush(pVoronoiDiagram->HoleSeq, pHole);
   4492     if(pVoronoiDiagram->HoleSeq->total == 1)
   4493     {
   4494         pVoronoiDiagram->top_hole = pHole;
   4495         return;
   4496     }
   4497 
   4498     pCvVoronoiHole pTopHole = pVoronoiDiagram->top_hole;
   4499     pCvVoronoiHole pCurrHole;
   4500     if(pTopHole->x_coord >= pHole->x_coord)
   4501     {
   4502         pHole->next_hole = pTopHole;
   4503         pVoronoiDiagram->top_hole = pHole;
   4504         return;
   4505     }
   4506 
   4507     for(pCurrHole = pTopHole; \
   4508         pCurrHole->next_hole != NULL; \
   4509         pCurrHole = pCurrHole->next_hole)
   4510         if(pCurrHole->next_hole->x_coord >= pHole->x_coord)
   4511             break;
   4512     pHole->next_hole = pCurrHole->next_hole;
   4513     pCurrHole->next_hole = pHole;
   4514 }//end of _cvSeqPushInOrder
   4515 
   4516 CV_INLINE
   4517 pCvVoronoiEdge _cvDivideRightEdge(pCvVoronoiEdge pEdge,pCvVoronoiNode pNode, CvSeq* EdgeSeq)
   4518 {
   4519     CvVoronoiEdgeInt Edge1 = *pEdge;
   4520     CvVoronoiEdgeInt Edge2 = *pEdge->twin_edge;
   4521     pCvVoronoiEdge pEdge1, pEdge2;
   4522 
   4523     pEdge1 = _cvSeqPush(EdgeSeq, &Edge1);
   4524     pEdge2 = _cvSeqPush(EdgeSeq, &Edge2);
   4525 
   4526     if(pEdge1->next_edge != NULL)
   4527         pEdge1->next_edge->prev_edge = pEdge1;
   4528     pEdge1->prev_edge = NULL;
   4529 
   4530     if(pEdge2->prev_edge != NULL)
   4531         pEdge2->prev_edge->next_edge = pEdge2;
   4532     pEdge2->next_edge = NULL;
   4533 
   4534     pEdge1->node1 = pEdge2->node2= pNode;
   4535     pEdge1->twin_edge = pEdge2;
   4536     pEdge2->twin_edge = pEdge1;
   4537     return pEdge2;
   4538 }//end of _cvDivideRightEdge
   4539 
   4540 CV_INLINE
   4541 pCvVoronoiEdge _cvDivideLeftEdge(pCvVoronoiEdge pEdge,pCvVoronoiNode pNode, CvSeq* EdgeSeq)
   4542 {
   4543     CvVoronoiEdgeInt Edge1 = *pEdge;
   4544     CvVoronoiEdgeInt Edge2 = *pEdge->twin_edge;
   4545     pCvVoronoiEdge pEdge1, pEdge2;
   4546 
   4547     pEdge1 = _cvSeqPush(EdgeSeq, &Edge1);
   4548     pEdge2 = _cvSeqPush(EdgeSeq, &Edge2);
   4549 
   4550     if(pEdge2->next_edge != NULL)
   4551         pEdge2->next_edge->prev_edge = pEdge2;
   4552     pEdge2->prev_edge = NULL;
   4553 
   4554     if(pEdge1->prev_edge != NULL)
   4555         pEdge1->prev_edge->next_edge = pEdge1;
   4556     pEdge1->next_edge = NULL;
   4557 
   4558     pEdge1->node2 = pEdge2->node1= pNode;
   4559     pEdge1->twin_edge = pEdge2;
   4560     pEdge2->twin_edge = pEdge1;
   4561     return pEdge2;
   4562 }//end of _cvDivideLeftEdge
   4563 
   4564 template<class T> CV_INLINE
   4565 T _cvWriteSeqElem(T pElem, CvSeqWriter &writer)
   4566 {
   4567     if( writer.ptr >= writer.block_max )
   4568           cvCreateSeqBlock( &writer);
   4569 
   4570     T ptr = (T)writer.ptr;
   4571     memcpy(writer.ptr, pElem, sizeof(*pElem));
   4572     writer.ptr += sizeof(*pElem);
   4573     return ptr;
   4574 }//end of _cvWriteSeqElem
   4575 
   4576 /* ///////////////////////////////////////////////////////////////////////////////////////
   4577 //                           Mathematical functions                                     //
   4578 /////////////////////////////////////////////////////////////////////////////////////// */
   4579 
   4580 template<class T> CV_INLINE
   4581 void _cvCalcPointImage(pCvPointFloat pImgPoint,pCvPointFloat pPoint,T* A)
   4582 {
   4583     pImgPoint->x = (float)(A[0]*pPoint->x + A[1]*pPoint->y + A[2]);
   4584     pImgPoint->y = (float)(A[3]*pPoint->x + A[4]*pPoint->y + A[5]);
   4585 }//end of _cvCalcPointImage
   4586 
   4587 template <class T> CV_INLINE
   4588 void _cvSwap(T &x, T &y)
   4589 {
   4590     T z; z=x; x=y; y=z;
   4591 }//end of _cvSwap
   4592 
   4593 template <class T> CV_INLINE
   4594 int _cvCalcOrtogInverse(T* B, T* A)
   4595 {
   4596     int sign_det = SIGN(A[0]*A[4] - A[1]*A[3]);
   4597 
   4598     if(sign_det)
   4599     {
   4600         B[0] =  A[4]*sign_det;
   4601         B[1] = -A[1]*sign_det;
   4602         B[3] = -A[3]*sign_det;
   4603         B[4] =  A[0]*sign_det;
   4604         B[2] = - (B[0]*A[2]+B[1]*A[5]);
   4605         B[5] = - (B[3]*A[2]+B[4]*A[5]);
   4606         return 1;
   4607     }
   4608     else
   4609         return 0;
   4610 }//end of _cvCalcOrtogInverse
   4611 
   4612 template<class T> CV_INLINE
   4613 void _cvCalcVectorImage(pCvDirection pImgVector,pCvDirection pVector,T* A)
   4614 {
   4615     pImgVector->x = A[0]*pVector->x + A[1]*pVector->y;
   4616     pImgVector->y = A[3]*pVector->x + A[4]*pVector->y;
   4617 }//end of _cvCalcVectorImage
   4618 
   4619 template <class T> CV_INLINE
   4620 void _cvCalcComposition(T* Result,T* A,T* B)
   4621 {
   4622     Result[0] = A[0]*B[0] + A[1]*B[3];
   4623     Result[1] = A[0]*B[1] + A[1]*B[4];
   4624     Result[3] = A[3]*B[0] + A[4]*B[3];
   4625     Result[4] = A[3]*B[1] + A[4]*B[4];
   4626     Result[2] = A[0]*B[2] + A[1]*B[5] + A[2];
   4627     Result[5] = A[3]*B[2] + A[4]*B[5] + A[5];
   4628 }//end of _cvCalcComposition
   4629 
   4630 CV_INLINE
   4631 float _cvCalcDist(pCvPointFloat pPoint, pCvVoronoiSite pSite)
   4632 {
   4633     if(pSite->node1==pSite->node2)
   4634         return _cvPPDist(pPoint,&(pSite->node1->node));
   4635     else
   4636         return _cvPLDist(pPoint,&(pSite->node1->node),pSite->direction);
   4637 }//end of _cvCalcComposition
   4638 
   4639 CV_INLINE
   4640 float _cvPPDist(pCvPointFloat pPoint1,pCvPointFloat pPoint2)
   4641 {
   4642     float delta_x = pPoint1->x - pPoint2->x;
   4643     float delta_y = pPoint1->y - pPoint2->y;
   4644     return (float)sqrt((double)delta_x*delta_x + delta_y*delta_y);
   4645 }//end of _cvPPDist
   4646 
   4647 
   4648 CV_INLINE
   4649 float _cvPLDist(pCvPointFloat pPoint,pCvPointFloat pPoint1,pCvDirection pDirection)
   4650 {
   4651     return (float)fabs(pDirection->x*(pPoint->y - pPoint1->y) -
   4652                      pDirection->y*(pPoint->x - pPoint1->x));
   4653 }//end of _cvPLDist
   4654 
   4655 template <class T>
   4656 int _cvSolveEqu2thR(T c2, T c1, T c0, T* X)
   4657 {
   4658     const T eps = (T)1e-6;
   4659     if(fabs(c2)<eps)
   4660         return _cvSolveEqu1th(c1,c0,X);
   4661 
   4662     T Discr = c1*c1 - c2*c0*4;
   4663     if(Discr<-eps)
   4664         return 0;
   4665     Discr = (T)sqrt((double)fabs(Discr));
   4666 
   4667     if(fabs(Discr)<eps)
   4668     {
   4669         X[0] = -c1/(c2*2);
   4670         if(fabs(X[0])<eps)
   4671             X[0]=0;
   4672         return 1;
   4673     }
   4674     else
   4675     {
   4676         if(c1 >=0)
   4677         {
   4678             if(c2>0)
   4679             {
   4680                 X[0] = (-c1 - Discr)/(2*c2);
   4681                 X[1] = -2*c0/(c1+Discr);
   4682                 return 2;
   4683             }
   4684             else
   4685             {
   4686                 X[1] = (-c1 - Discr)/(2*c2);
   4687                 X[0] = -2*c0/(c1+Discr);
   4688                 return 2;
   4689             }
   4690         }
   4691         else
   4692         {
   4693             if(c2>0)
   4694             {
   4695                 X[1] = (-c1 + Discr)/(2*c2);
   4696                 X[0] = -2*c0/(c1-Discr);
   4697                 return 2;
   4698             }
   4699             else
   4700             {
   4701                 X[0] = (-c1 + Discr)/(2*c2);
   4702                 X[1] = -2*c0/(c1-Discr);
   4703                 return 2;
   4704             }
   4705         }
   4706     }
   4707 }//end of _cvSolveEqu2thR
   4708 
   4709 template <class T> CV_INLINE
   4710 int _cvSolveEqu1th(T c1, T c0, T* X)
   4711 {
   4712     const T eps = (T)1e-6;
   4713     if(fabs(c1)<eps)
   4714         return 0;
   4715 
   4716     X[0] = -c0/c1;
   4717     return 1;
   4718 }//end of _cvSolveEqu1th
   4719