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     11 //                For Open Source Computer Vision Library
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     40 //M*/
     41 
     42 #include "_cv.h"
     43 
     44 static CvStatus
     45 icvUnDistort_8u_CnR( const uchar* src, int srcstep,
     46                      uchar* dst, int dststep, CvSize size,
     47                      const float* intrinsic_matrix,
     48                      const float* dist_coeffs, int cn )
     49 {
     50     int u, v, i;
     51     float u0 = intrinsic_matrix[2], v0 = intrinsic_matrix[5];
     52     float x0 = (size.width-1)*0.5f, y0 = (size.height-1)*0.5f;
     53     float fx = intrinsic_matrix[0], fy = intrinsic_matrix[4];
     54     float ifx = 1.f/fx, ify = 1.f/fy;
     55     float k1 = dist_coeffs[0], k2 = dist_coeffs[1], k3 = dist_coeffs[4];
     56     float p1 = dist_coeffs[2], p2 = dist_coeffs[3];
     57 
     58     srcstep /= sizeof(src[0]);
     59     dststep /= sizeof(dst[0]);
     60 
     61     for( v = 0; v < size.height; v++, dst += dststep )
     62     {
     63         float y = (v - v0)*ify, y2 = y*y;
     64 
     65         for( u = 0; u < size.width; u++ )
     66         {
     67             float x = (u - u0)*ifx, x2 = x*x, r2 = x2 + y2, _2xy = 2*x*y;
     68             float kr = 1 + ((k3*r2 + k2)*r2 + k1)*r2;
     69             float _x = fx*(x*kr + p1*_2xy + p2*(r2 + 2*x2)) + x0;
     70             float _y = fy*(y*kr + p1*(r2 + 2*y2) + p2*_2xy) + y0;
     71             int ix = cvFloor(_x), iy = cvFloor(_y);
     72 
     73             if( (unsigned)iy < (unsigned)(size.height - 1) &&
     74                 (unsigned)ix < (unsigned)(size.width - 1) )
     75             {
     76                 const uchar* ptr = src + iy*srcstep + ix*cn;
     77                 _x -= ix; _y -= iy;
     78                 for( i = 0; i < cn; i++ )
     79                 {
     80                     float t0 = CV_8TO32F(ptr[i]), t1 = CV_8TO32F(ptr[i+srcstep]);
     81                     t0 += _x*(CV_8TO32F(ptr[i+cn]) - t0);
     82                     t1 += _x*(CV_8TO32F(ptr[i + srcstep + cn]) - t1);
     83                     dst[u*cn + i] = (uchar)cvRound(t0 + _y*(t1 - t0));
     84                 }
     85             }
     86             else
     87             {
     88                 for( i = 0; i < cn; i++ )
     89                     dst[u*cn + i] = 0;
     90             }
     91 
     92         }
     93     }
     94 
     95     return CV_OK;
     96 }
     97 
     98 
     99 icvUndistortGetSize_t icvUndistortGetSize_p = 0;
    100 icvCreateMapCameraUndistort_32f_C1R_t icvCreateMapCameraUndistort_32f_C1R_p = 0;
    101 icvUndistortRadial_8u_C1R_t icvUndistortRadial_8u_C1R_p = 0;
    102 icvUndistortRadial_8u_C3R_t icvUndistortRadial_8u_C3R_p = 0;
    103 
    104 typedef CvStatus (CV_STDCALL * CvUndistortRadialIPPFunc)
    105     ( const void* pSrc, int srcStep, void* pDst, int dstStep, CvSize roiSize,
    106       float fx, float fy, float cx, float cy, float k1, float k2, uchar *pBuffer );
    107 
    108 CV_IMPL void
    109 cvUndistort2( const CvArr* _src, CvArr* _dst, const CvMat* A, const CvMat* dist_coeffs )
    110 {
    111     static int inittab = 0;
    112 
    113     CV_FUNCNAME( "cvUndistort2" );
    114 
    115     __BEGIN__;
    116 
    117     float a[9], k[5]={0,0,0,0,0};
    118     int coi1 = 0, coi2 = 0;
    119     CvMat srcstub, *src = (CvMat*)_src;
    120     CvMat dststub, *dst = (CvMat*)_dst;
    121     CvMat _a = cvMat( 3, 3, CV_32F, a ), _k;
    122     int cn, src_step, dst_step;
    123     CvSize size;
    124 
    125     if( !inittab )
    126     {
    127         icvInitLinearCoeffTab();
    128         icvInitCubicCoeffTab();
    129         inittab = 1;
    130     }
    131 
    132     CV_CALL( src = cvGetMat( src, &srcstub, &coi1 ));
    133     CV_CALL( dst = cvGetMat( dst, &dststub, &coi2 ));
    134 
    135     if( coi1 != 0 || coi2 != 0 )
    136         CV_ERROR( CV_BadCOI, "The function does not support COI" );
    137 
    138     if( CV_MAT_DEPTH(src->type) != CV_8U )
    139         CV_ERROR( CV_StsUnsupportedFormat, "Only 8-bit images are supported" );
    140 
    141     if( src->data.ptr == dst->data.ptr )
    142         CV_ERROR( CV_StsNotImplemented, "In-place undistortion is not implemented" );
    143 
    144     if( !CV_ARE_TYPES_EQ( src, dst ))
    145         CV_ERROR( CV_StsUnmatchedFormats, "" );
    146 
    147     if( !CV_ARE_SIZES_EQ( src, dst ))
    148         CV_ERROR( CV_StsUnmatchedSizes, "" );
    149 
    150     if( !CV_IS_MAT(A) || A->rows != 3 || A->cols != 3  ||
    151         (CV_MAT_TYPE(A->type) != CV_32FC1 && CV_MAT_TYPE(A->type) != CV_64FC1) )
    152         CV_ERROR( CV_StsBadArg, "Intrinsic matrix must be a valid 3x3 floating-point matrix" );
    153 
    154     if( !CV_IS_MAT(dist_coeffs) || (dist_coeffs->rows != 1 && dist_coeffs->cols != 1) ||
    155         (dist_coeffs->rows*dist_coeffs->cols*CV_MAT_CN(dist_coeffs->type) != 4 &&
    156         dist_coeffs->rows*dist_coeffs->cols*CV_MAT_CN(dist_coeffs->type) != 5) ||
    157         (CV_MAT_DEPTH(dist_coeffs->type) != CV_64F &&
    158         CV_MAT_DEPTH(dist_coeffs->type) != CV_32F) )
    159         CV_ERROR( CV_StsBadArg,
    160             "Distortion coefficients must be 1x4, 4x1, 1x5 or 5x1 floating-point vector" );
    161 
    162     cvConvert( A, &_a );
    163     _k = cvMat( dist_coeffs->rows, dist_coeffs->cols,
    164                 CV_MAKETYPE(CV_32F, CV_MAT_CN(dist_coeffs->type)), k );
    165     cvConvert( dist_coeffs, &_k );
    166 
    167     cn = CV_MAT_CN(src->type);
    168     size = cvGetMatSize(src);
    169     src_step = src->step ? src->step : CV_STUB_STEP;
    170     dst_step = dst->step ? dst->step : CV_STUB_STEP;
    171 
    172     icvUnDistort_8u_CnR( src->data.ptr, src_step,
    173         dst->data.ptr, dst_step, size, a, k, cn );
    174 
    175     __END__;
    176 }
    177 
    178 
    179 CV_IMPL void
    180 cvInitUndistortMap( const CvMat* A, const CvMat* dist_coeffs,
    181                     CvArr* mapxarr, CvArr* mapyarr )
    182 {
    183     CV_FUNCNAME( "cvInitUndistortMap" );
    184 
    185     __BEGIN__;
    186 
    187     float a[9], k[5]={0,0,0,0,0};
    188     int coi1 = 0, coi2 = 0;
    189     CvMat mapxstub, *_mapx = (CvMat*)mapxarr;
    190     CvMat mapystub, *_mapy = (CvMat*)mapyarr;
    191     CvMat _a = cvMat( 3, 3, CV_32F, a ), _k;
    192     int u, v;
    193     float u0, v0, fx, fy, ifx, ify, x0, y0, k1, k2, k3, p1, p2;
    194     CvSize size;
    195 
    196     CV_CALL( _mapx = cvGetMat( _mapx, &mapxstub, &coi1 ));
    197     CV_CALL( _mapy = cvGetMat( _mapy, &mapystub, &coi2 ));
    198 
    199     if( coi1 != 0 || coi2 != 0 )
    200         CV_ERROR( CV_BadCOI, "The function does not support COI" );
    201 
    202     if( CV_MAT_TYPE(_mapx->type) != CV_32FC1 )
    203         CV_ERROR( CV_StsUnsupportedFormat, "Both maps must have 32fC1 type" );
    204 
    205     if( !CV_ARE_TYPES_EQ( _mapx, _mapy ))
    206         CV_ERROR( CV_StsUnmatchedFormats, "" );
    207 
    208     if( !CV_ARE_SIZES_EQ( _mapx, _mapy ))
    209         CV_ERROR( CV_StsUnmatchedSizes, "" );
    210 
    211     size = cvGetMatSize(_mapx);
    212 
    213     if( !CV_IS_MAT(A) || A->rows != 3 || A->cols != 3  ||
    214         (CV_MAT_TYPE(A->type) != CV_32FC1 && CV_MAT_TYPE(A->type) != CV_64FC1) )
    215         CV_ERROR( CV_StsBadArg, "Intrinsic matrix must be a valid 3x3 floating-point matrix" );
    216 
    217     if( !CV_IS_MAT(dist_coeffs) || (dist_coeffs->rows != 1 && dist_coeffs->cols != 1) ||
    218         (dist_coeffs->rows*dist_coeffs->cols*CV_MAT_CN(dist_coeffs->type) != 4 &&
    219         dist_coeffs->rows*dist_coeffs->cols*CV_MAT_CN(dist_coeffs->type) != 5) ||
    220         (CV_MAT_DEPTH(dist_coeffs->type) != CV_64F &&
    221         CV_MAT_DEPTH(dist_coeffs->type) != CV_32F) )
    222         CV_ERROR( CV_StsBadArg,
    223             "Distortion coefficients must be 1x4, 4x1, 1x5 or 5x1 floating-point vector" );
    224 
    225     cvConvert( A, &_a );
    226     _k = cvMat( dist_coeffs->rows, dist_coeffs->cols,
    227                 CV_MAKETYPE(CV_32F, CV_MAT_CN(dist_coeffs->type)), k );
    228     cvConvert( dist_coeffs, &_k );
    229 
    230     u0 = a[2]; v0 = a[5];
    231     fx = a[0]; fy = a[4];
    232     ifx = 1.f/fx; ify = 1.f/fy;
    233     k1 = k[0]; k2 = k[1]; k3 = k[4];
    234     p1 = k[2]; p2 = k[3];
    235     x0 = (size.width-1)*0.5f;
    236     y0 = (size.height-1)*0.5f;
    237 
    238     for( v = 0; v < size.height; v++ )
    239     {
    240         float* mapx = (float*)(_mapx->data.ptr + _mapx->step*v);
    241         float* mapy = (float*)(_mapy->data.ptr + _mapy->step*v);
    242         float y = (v - v0)*ify, y2 = y*y;
    243 
    244         for( u = 0; u < size.width; u++ )
    245         {
    246             float x = (u - u0)*ifx, x2 = x*x, r2 = x2 + y2, _2xy = 2*x*y;
    247             double kr = 1 + ((k3*r2 + k2)*r2 + k1)*r2;
    248             double _x = fx*(x*kr + p1*_2xy + p2*(r2 + 2*x2)) + x0;
    249             double _y = fy*(y*kr + p1*(r2 + 2*y2) + p2*_2xy) + y0;
    250             mapx[u] = (float)_x;
    251             mapy[u] = (float)_y;
    252         }
    253     }
    254 
    255     __END__;
    256 }
    257 
    258 
    259 void
    260 cvInitUndistortRectifyMap( const CvMat* A, const CvMat* distCoeffs,
    261     const CvMat *R, const CvMat* Ar, CvArr* mapxarr, CvArr* mapyarr )
    262 {
    263     CV_FUNCNAME( "cvInitUndistortMap" );
    264 
    265     __BEGIN__;
    266 
    267     double a[9], ar[9], r[9], ir[9], k[5]={0,0,0,0,0};
    268     int coi1 = 0, coi2 = 0;
    269     CvMat mapxstub, *_mapx = (CvMat*)mapxarr;
    270     CvMat mapystub, *_mapy = (CvMat*)mapyarr;
    271     CvMat _a = cvMat( 3, 3, CV_64F, a );
    272     CvMat _k = cvMat( 4, 1, CV_64F, k );
    273     CvMat _ar = cvMat( 3, 3, CV_64F, ar );
    274     CvMat _r = cvMat( 3, 3, CV_64F, r );
    275     CvMat _ir = cvMat( 3, 3, CV_64F, ir );
    276     int i, j;
    277     double fx, fy, u0, v0, k1, k2, k3, p1, p2;
    278     CvSize size;
    279 
    280     CV_CALL( _mapx = cvGetMat( _mapx, &mapxstub, &coi1 ));
    281     CV_CALL( _mapy = cvGetMat( _mapy, &mapystub, &coi2 ));
    282 
    283     if( coi1 != 0 || coi2 != 0 )
    284         CV_ERROR( CV_BadCOI, "The function does not support COI" );
    285 
    286     if( CV_MAT_TYPE(_mapx->type) != CV_32FC1 )
    287         CV_ERROR( CV_StsUnsupportedFormat, "Both maps must have 32fC1 type" );
    288 
    289     if( !CV_ARE_TYPES_EQ( _mapx, _mapy ))
    290         CV_ERROR( CV_StsUnmatchedFormats, "" );
    291 
    292     if( !CV_ARE_SIZES_EQ( _mapx, _mapy ))
    293         CV_ERROR( CV_StsUnmatchedSizes, "" );
    294 
    295     if( A )
    296     {
    297         if( !CV_IS_MAT(A) || A->rows != 3 || A->cols != 3  ||
    298             (CV_MAT_TYPE(A->type) != CV_32FC1 && CV_MAT_TYPE(A->type) != CV_64FC1) )
    299             CV_ERROR( CV_StsBadArg, "Intrinsic matrix must be a valid 3x3 floating-point matrix" );
    300         cvConvert( A, &_a );
    301     }
    302     else
    303         cvSetIdentity( &_a );
    304 
    305     if( Ar )
    306     {
    307         CvMat Ar33;
    308         if( !CV_IS_MAT(Ar) || Ar->rows != 3 || (Ar->cols != 3 && Ar->cols != 4) ||
    309             (CV_MAT_TYPE(Ar->type) != CV_32FC1 && CV_MAT_TYPE(Ar->type) != CV_64FC1) )
    310             CV_ERROR( CV_StsBadArg, "The new intrinsic matrix must be a valid 3x3 floating-point matrix" );
    311         cvGetCols( Ar, &Ar33, 0, 3 );
    312         cvConvert( &Ar33, &_ar );
    313     }
    314     else
    315         cvSetIdentity( &_ar );
    316 
    317     if( !CV_IS_MAT(R) || R->rows != 3 || R->cols != 3  ||
    318         (CV_MAT_TYPE(R->type) != CV_32FC1 && CV_MAT_TYPE(R->type) != CV_64FC1) )
    319         CV_ERROR( CV_StsBadArg, "Rotaion/homography matrix must be a valid 3x3 floating-point matrix" );
    320 
    321     if( distCoeffs )
    322     {
    323         CV_ASSERT( CV_IS_MAT(distCoeffs) &&
    324             (distCoeffs->rows == 1 || distCoeffs->cols == 1) &&
    325             (distCoeffs->rows*distCoeffs->cols*CV_MAT_CN(distCoeffs->type) == 4 ||
    326             distCoeffs->rows*distCoeffs->cols*CV_MAT_CN(distCoeffs->type) == 5) &&
    327             (CV_MAT_DEPTH(distCoeffs->type) == CV_64F ||
    328             CV_MAT_DEPTH(distCoeffs->type) == CV_32F) );
    329         _k = cvMat( distCoeffs->rows, distCoeffs->cols,
    330                 CV_MAKETYPE(CV_64F, CV_MAT_CN(distCoeffs->type)), k );
    331         cvConvert( distCoeffs, &_k );
    332     }
    333     else
    334         cvZero( &_k );
    335 
    336     cvConvert( R, &_r );    // rectification matrix
    337     cvMatMul( &_ar, &_r, &_r ); // Ar*R
    338     cvInvert( &_r, &_ir );  // inverse: R^-1*Ar^-1
    339 
    340     u0 = a[2]; v0 = a[5];
    341     fx = a[0]; fy = a[4];
    342     k1 = k[0]; k2 = k[1]; k3 = k[4];
    343     p1 = k[2]; p2 = k[3];
    344 
    345     size = cvGetMatSize(_mapx);
    346 
    347     for( i = 0; i < size.height; i++ )
    348     {
    349         float* mapx = (float*)(_mapx->data.ptr + _mapx->step*i);
    350         float* mapy = (float*)(_mapy->data.ptr + _mapy->step*i);
    351         double _x = i*ir[1] + ir[2], _y = i*ir[4] + ir[5], _w = i*ir[7] + ir[8];
    352 
    353         for( j = 0; j < size.width; j++, _x += ir[0], _y += ir[3], _w += ir[6] )
    354         {
    355             double w = 1./_w, x = _x*w, y = _y*w;
    356             double x2 = x*x, y2 = y*y;
    357             double r2 = x2 + y2, _2xy = 2*x*y;
    358             double kr = 1 + ((k3*r2 + k2)*r2 + k1)*r2;
    359             double u = fx*(x*kr + p1*_2xy + p2*(r2 + 2*x2)) + u0;
    360             double v = fy*(y*kr + p1*(r2 + 2*y2) + p2*_2xy) + v0;
    361             mapx[j] = (float)u;
    362             mapy[j] = (float)v;
    363         }
    364     }
    365 
    366     __END__;
    367 }
    368 
    369 
    370 void
    371 cvUndistortPoints( const CvMat* _src, CvMat* _dst, const CvMat* _cameraMatrix,
    372                    const CvMat* _distCoeffs,
    373                    const CvMat* _R, const CvMat* _P )
    374 {
    375     CV_FUNCNAME( "cvUndistortPoints" );
    376 
    377     __BEGIN__;
    378 
    379     double A[3][3], RR[3][3], k[5]={0,0,0,0,0}, fx, fy, ifx, ify, cx, cy;
    380     CvMat _A=cvMat(3, 3, CV_64F, A), _Dk;
    381     CvMat _RR=cvMat(3, 3, CV_64F, RR);
    382     const CvPoint2D32f* srcf;
    383     const CvPoint2D64f* srcd;
    384     CvPoint2D32f* dstf;
    385     CvPoint2D64f* dstd;
    386     int stype, dtype;
    387     int sstep, dstep;
    388     int i, j, n;
    389 
    390     CV_ASSERT( CV_IS_MAT(_src) && CV_IS_MAT(_dst) &&
    391         (_src->rows == 1 || _src->cols == 1) &&
    392         (_dst->rows == 1 || _dst->cols == 1) &&
    393         CV_ARE_SIZES_EQ(_src, _dst) &&
    394         (CV_MAT_TYPE(_src->type) == CV_32FC2 || CV_MAT_TYPE(_src->type) == CV_64FC2) &&
    395         (CV_MAT_TYPE(_dst->type) == CV_32FC2 || CV_MAT_TYPE(_dst->type) == CV_64FC2));
    396 
    397     CV_ASSERT( CV_IS_MAT(_cameraMatrix) && CV_IS_MAT(_distCoeffs) &&
    398         _cameraMatrix->rows == 3 && _cameraMatrix->cols == 3 &&
    399         (_distCoeffs->rows == 1 || _distCoeffs->cols == 1) &&
    400         (_distCoeffs->rows*_distCoeffs->cols == 4 ||
    401         _distCoeffs->rows*_distCoeffs->cols == 5) );
    402     _Dk = cvMat( _distCoeffs->rows, _distCoeffs->cols,
    403         CV_MAKETYPE(CV_64F,CV_MAT_CN(_distCoeffs->type)), k);
    404     cvConvert( _cameraMatrix, &_A );
    405     cvConvert( _distCoeffs, &_Dk );
    406 
    407     if( _R )
    408     {
    409         CV_ASSERT( CV_IS_MAT(_R) && _R->rows == 3 && _R->cols == 3 );
    410         cvConvert( _R, &_RR );
    411     }
    412     else
    413         cvSetIdentity(&_RR);
    414 
    415     if( _P )
    416     {
    417         double PP[3][3];
    418         CvMat _P3x3, _PP=cvMat(3, 3, CV_64F, PP);
    419         CV_ASSERT( CV_IS_MAT(_P) && _P->rows == 3 && (_P->cols == 3 || _P->cols == 4));
    420         cvConvert( cvGetCols(_P, &_P3x3, 0, 3), &_PP );
    421         cvMatMul( &_PP, &_RR, &_RR );
    422     }
    423 
    424     srcf = (const CvPoint2D32f*)_src->data.ptr;
    425     srcd = (const CvPoint2D64f*)_src->data.ptr;
    426     dstf = (CvPoint2D32f*)_dst->data.ptr;
    427     dstd = (CvPoint2D64f*)_dst->data.ptr;
    428     stype = CV_MAT_TYPE(_src->type);
    429     dtype = CV_MAT_TYPE(_dst->type);
    430     sstep = _src->rows == 1 ? 1 : _src->step/CV_ELEM_SIZE(stype);
    431     dstep = _dst->rows == 1 ? 1 : _dst->step/CV_ELEM_SIZE(dtype);
    432 
    433     n = _src->rows + _src->cols - 1;
    434 
    435     fx = A[0][0];
    436     fy = A[1][1];
    437     ifx = 1./fx;
    438     ify = 1./fy;
    439     cx = A[0][2];
    440     cy = A[1][2];
    441 
    442     for( i = 0; i < n; i++ )
    443     {
    444         double x, y, x0, y0;
    445         if( stype == CV_32FC2 )
    446         {
    447             x = srcf[i*sstep].x;
    448             y = srcf[i*sstep].y;
    449         }
    450         else
    451         {
    452             x = srcd[i*sstep].x;
    453             y = srcd[i*sstep].y;
    454         }
    455 
    456         x0 = x = (x - cx)*ifx;
    457         y0 = y = (y - cy)*ify;
    458 
    459         // compensate distortion iteratively
    460         for( j = 0; j < 5; j++ )
    461         {
    462             double r2 = x*x + y*y;
    463             double icdist = 1./(1 + ((k[4]*r2 + k[1])*r2 + k[0])*r2);
    464             double deltaX = 2*k[2]*x*y + k[3]*(r2 + 2*x*x);
    465             double deltaY = k[2]*(r2 + 2*y*y) + 2*k[3]*x*y;
    466             x = (x0 - deltaX)*icdist;
    467             y = (y0 - deltaY)*icdist;
    468         }
    469 
    470         double xx = RR[0][0]*x + RR[0][1]*y + RR[0][2];
    471         double yy = RR[1][0]*x + RR[1][1]*y + RR[1][2];
    472         double ww = 1./(RR[2][0]*x + RR[2][1]*y + RR[2][2]);
    473         x = xx*ww;
    474         y = yy*ww;
    475 
    476         if( dtype == CV_32FC2 )
    477         {
    478             dstf[i*dstep].x = (float)x;
    479             dstf[i*dstep].y = (float)y;
    480         }
    481         else
    482         {
    483             dstd[i*dstep].x = x;
    484             dstd[i*dstep].y = y;
    485         }
    486     }
    487 
    488     __END__;
    489 }
    490 
    491 /*  End of file  */
    492