10ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// Ceres Solver - A fast non-linear least squares minimizer
20ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// Copyright 2010, 2011, 2012 Google Inc. All rights reserved.
30ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// http://code.google.com/p/ceres-solver/
40ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//
50ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// Redistribution and use in source and binary forms, with or without
60ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// modification, are permitted provided that the following conditions are met:
70ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//
80ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// * Redistributions of source code must retain the above copyright notice,
90ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//   this list of conditions and the following disclaimer.
100ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// * Redistributions in binary form must reproduce the above copyright notice,
110ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//   this list of conditions and the following disclaimer in the documentation
120ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//   and/or other materials provided with the distribution.
130ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// * Neither the name of Google Inc. nor the names of its contributors may be
140ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//   used to endorse or promote products derived from this software without
150ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//   specific prior written permission.
160ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//
170ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
180ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
190ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
200ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
210ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
220ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
230ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
240ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
250ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
260ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
270ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// POSSIBILITY OF SUCH DAMAGE.
280ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//
290ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// Author: sameeragarwal@google.com (Sameer Agarwal)
300ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//
310ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// Cost term that implements a prior on a parameter block using a
320ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// normal distribution.
330ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
340ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#ifndef CERES_PUBLIC_NORMAL_PRIOR_H_
350ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#define CERES_PUBLIC_NORMAL_PRIOR_H_
360ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
370ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include "ceres/cost_function.h"
380ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include "ceres/internal/eigen.h"
3979397c21138f54fcff6ec067b44b847f1f7e0e98Carlos Hernandez#include "ceres/internal/disable_warnings.h"
400ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
410ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kongnamespace ceres {
420ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
430ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// Implements a cost function of the form
440ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//
450ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//   cost(x) = ||A(x - b)||^2
460ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//
470ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// where, the matrix A and the vector b are fixed and x is the
480ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// variable. In case the user is interested in implementing a cost
490ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// function of the form
500ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//
510ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//   cost(x) = (x - mu)^T S^{-1} (x - mu)
520ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//
530ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// where, mu is a vector and S is a covariance matrix, then, A =
540ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// S^{-1/2}, i.e the matrix A is the square root of the inverse of the
550ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// covariance, also known as the stiffness matrix. There are however
560ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// no restrictions on the shape of A. It is free to be rectangular,
570ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// which would be the case if the covariance matrix S is rank
580ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// deficient.
590ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
6079397c21138f54fcff6ec067b44b847f1f7e0e98Carlos Hernandezclass CERES_EXPORT NormalPrior: public CostFunction {
610ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong public:
620ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  // Check that the number of rows in the vector b are the same as the
630ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  // number of columns in the matrix A, crash otherwise.
640ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  NormalPrior(const Matrix& A, const Vector& b);
650ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
660ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  virtual bool Evaluate(double const* const* parameters,
670ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                        double* residuals,
680ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                        double** jacobians) const;
690ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong private:
700ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  Matrix A_;
710ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  Vector b_;
720ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong};
730ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
740ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong}  // namespace ceres
750ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
7679397c21138f54fcff6ec067b44b847f1f7e0e98Carlos Hernandez#include "ceres/internal/reenable_warnings.h"
7779397c21138f54fcff6ec067b44b847f1f7e0e98Carlos Hernandez
780ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#endif  // CERES_PUBLIC_NORMAL_PRIOR_H_
79