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1 // Ceres Solver - A fast non-linear least squares minimizer
2 // Copyright 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: strandmark@google.com (Petter Strandmark)
30 //
31 // Class for loading the data required for descibing a Fields of Experts (FoE)
32 // model. The Fields of Experts regularization consists of terms of the type
33 //
34 //   alpha * log(1 + (1/2)*sum(F .* X)^2),
35 //
36 // where F is a d-by-d image patch and alpha is a constant. This is implemented
37 // by a FieldsOfExpertsSum object which represents the dot product between the
38 // image patches and a FieldsOfExpertsLoss which implements the log(1 + (1/2)s)
39 // part.
40 //
41 // [1] S. Roth and M.J. Black. "Fields of Experts." International Journal of
42 //     Computer Vision, 82(2):205--229, 2009.
43 
44 #ifndef CERES_EXAMPLES_FIELDS_OF_EXPERTS_H_
45 #define CERES_EXAMPLES_FIELDS_OF_EXPERTS_H_
46 
47 #include <iostream>
48 #include <vector>
49 
50 #include "ceres/loss_function.h"
51 #include "ceres/cost_function.h"
52 #include "ceres/sized_cost_function.h"
53 
54 #include "pgm_image.h"
55 
56 namespace ceres {
57 namespace examples {
58 
59 // One sum in the FoE regularizer. This is a dot product between a filter and an
60 // image patch. It simply calculates the dot product between the filter
61 // coefficients given in the constructor and the scalar parameters passed to it.
62 class FieldsOfExpertsCost : public ceres::CostFunction {
63  public:
64   explicit FieldsOfExpertsCost(const std::vector<double>& filter);
65   // The number of scalar parameters passed to Evaluate must equal the number of
66   // filter coefficients passed to the constructor.
67   virtual bool Evaluate(double const* const* parameters,
68                         double* residuals,
69                         double** jacobians) const;
70 
71  private:
72   const std::vector<double>& filter_;
73 };
74 
75 // The loss function used to build the correct regularization. See above.
76 //
77 //   f(x) = alpha_i * log(1 + (1/2)s)
78 //
79 class FieldsOfExpertsLoss : public ceres::LossFunction {
80  public:
FieldsOfExpertsLoss(double alpha)81   explicit FieldsOfExpertsLoss(double alpha) : alpha_(alpha) { }
82   virtual void Evaluate(double, double*) const;
83 
84  private:
85   const double alpha_;
86 };
87 
88 // This class loads a set of filters and coefficients from file. Then the users
89 // obtains the correct loss and cost functions through NewCostFunction and
90 // NewLossFunction.
91 class FieldsOfExperts {
92  public:
93   // Creates an empty object with size() == 0.
94   FieldsOfExperts();
95   // Attempts to load filters from a file. If unsuccessful it returns false and
96   // sets size() == 0.
97   bool LoadFromFile(const std::string& filename);
98 
99   // Side length of a square filter in this FoE. They are all of the same size.
Size()100   int Size() const {
101     return size_;
102   }
103 
104   // Total number of pixels the filter covers.
NumVariables()105   int NumVariables() const {
106     return size_ * size_;
107   }
108 
109   // Number of filters used by the FoE.
NumFilters()110   int NumFilters() const {
111     return num_filters_;
112   }
113 
114   // Creates a new cost function. The caller is responsible for deallocating the
115   // memory. alpha_index specifies which filter is used in the cost function.
116   ceres::CostFunction* NewCostFunction(int alpha_index) const;
117   // Creates a new loss function. The caller is responsible for deallocating the
118   // memory. alpha_index specifies which filter this loss function is for.
119   ceres::LossFunction* NewLossFunction(int alpha_index) const;
120 
121   // Gets the delta pixel indices for all pixels in a patch.
GetXDeltaIndices()122   const std::vector<int>& GetXDeltaIndices() const {
123     return x_delta_indices_;
124   }
GetYDeltaIndices()125   const std::vector<int>& GetYDeltaIndices() const {
126     return y_delta_indices_;
127   }
128 
129  private:
130   // The side length of a square filter.
131   int size_;
132   // The number of different filters used.
133   int num_filters_;
134   // Pixel offsets for all variables.
135   std::vector<int> x_delta_indices_, y_delta_indices_;
136   // The coefficients in front of each term.
137   std::vector<double> alpha_;
138   // The filters used for the dot product with image patches.
139   std::vector<std::vector<double> > filters_;
140 };
141 
142 }  // namespace examples
143 }  // namespace ceres
144 
145 #endif  // CERES_EXAMPLES_FIELDS_OF_EXPERTS_H_
146