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      1 // Ceres Solver - A fast non-linear least squares minimizer
      2 // Copyright 2010, 2011, 2012 Google Inc. All rights reserved.
      3 // http://code.google.com/p/ceres-solver/
      4 //
      5 // Redistribution and use in source and binary forms, with or without
      6 // modification, are permitted provided that the following conditions are met:
      7 //
      8 // * Redistributions of source code must retain the above copyright notice,
      9 //   this list of conditions and the following disclaimer.
     10 // * Redistributions in binary form must reproduce the above copyright notice,
     11 //   this list of conditions and the following disclaimer in the documentation
     12 //   and/or other materials provided with the distribution.
     13 // * Neither the name of Google Inc. nor the names of its contributors may be
     14 //   used to endorse or promote products derived from this software without
     15 //   specific prior written permission.
     16 //
     17 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
     18 // AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     19 // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
     20 // ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
     21 // LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
     22 // CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
     23 // SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
     24 // INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
     25 // CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
     26 // ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
     27 // POSSIBILITY OF SUCH DAMAGE.
     28 //
     29 // Author: sameeragarwal (at) google.com (Sameer Agarwal)
     30 //
     31 // Cost term that implements a prior on a parameter block using a
     32 // normal distribution.
     33 
     34 #ifndef CERES_PUBLIC_NORMAL_PRIOR_H_
     35 #define CERES_PUBLIC_NORMAL_PRIOR_H_
     36 
     37 #include "ceres/cost_function.h"
     38 #include "ceres/internal/eigen.h"
     39 
     40 namespace ceres {
     41 
     42 // Implements a cost function of the form
     43 //
     44 //   cost(x) = ||A(x - b)||^2
     45 //
     46 // where, the matrix A and the vector b are fixed and x is the
     47 // variable. In case the user is interested in implementing a cost
     48 // function of the form
     49 //
     50 //   cost(x) = (x - mu)^T S^{-1} (x - mu)
     51 //
     52 // where, mu is a vector and S is a covariance matrix, then, A =
     53 // S^{-1/2}, i.e the matrix A is the square root of the inverse of the
     54 // covariance, also known as the stiffness matrix. There are however
     55 // no restrictions on the shape of A. It is free to be rectangular,
     56 // which would be the case if the covariance matrix S is rank
     57 // deficient.
     58 
     59 class NormalPrior: public CostFunction {
     60  public:
     61   // Check that the number of rows in the vector b are the same as the
     62   // number of columns in the matrix A, crash otherwise.
     63   NormalPrior(const Matrix& A, const Vector& b);
     64 
     65   virtual bool Evaluate(double const* const* parameters,
     66                         double* residuals,
     67                         double** jacobians) const;
     68  private:
     69   Matrix A_;
     70   Vector b_;
     71 };
     72 
     73 }  // namespace ceres
     74 
     75 #endif  // CERES_PUBLIC_NORMAL_PRIOR_H_
     76