1 // Ceres Solver - A fast non-linear least squares minimizer
2 // Copyright 2013 Google Inc. All rights reserved.
3 // http://code.google.com/p/ceres-solver/
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28 //
29 // Author: sameeragarwal@google.com (Sameer Agarwal)
30 //
31 // Detailed descriptions of these preconditions beyond what is
32 // documented here can be found in
33 //
34 // Bundle Adjustment in the Large
35 // S. Agarwal, N. Snavely, S. Seitz & R. Szeliski, ECCV 2010
36 // http://www.cs.washington.edu/homes/sagarwal/bal.pdf
37 
38 #ifndef CERES_INTERNAL_SCHUR_JACOBI_PRECONDITIONER_H_
39 #define CERES_INTERNAL_SCHUR_JACOBI_PRECONDITIONER_H_
40 
41 #include <set>
42 #include <vector>
43 #include <utility>
44 #include "ceres/collections_port.h"
45 #include "ceres/internal/macros.h"
46 #include "ceres/internal/scoped_ptr.h"
47 #include "ceres/preconditioner.h"
48 
49 namespace ceres {
50 namespace internal {
51 
52 class BlockRandomAccessDiagonalMatrix;
53 class BlockSparseMatrix;
54 struct CompressedRowBlockStructure;
55 class SchurEliminatorBase;
56 
57 // This class implements the SCHUR_JACOBI preconditioner for Structure
58 // from Motion/Bundle Adjustment problems. Full mathematical details
59 // can be found in
60 //
61 // Bundle Adjustment in the Large
62 // S. Agarwal, N. Snavely, S. Seitz & R. Szeliski, ECCV 2010
63 // http://www.cs.washington.edu/homes/sagarwal/bal.pdf
64 //
65 // Example usage:
66 //
67 //   Preconditioner::Options options;
68 //   options.preconditioner_type = SCHUR_JACOBI;
69 //   options.elimination_groups.push_back(num_points);
70 //   options.elimination_groups.push_back(num_cameras);
71 //   SchurJacobiPreconditioner preconditioner(
72 //      *A.block_structure(), options);
73 //   preconditioner.Update(A, NULL);
74 //   preconditioner.RightMultiply(x, y);
75 //
76 class SchurJacobiPreconditioner : public BlockSparseMatrixPreconditioner {
77  public:
78   // Initialize the symbolic structure of the preconditioner. bs is
79   // the block structure of the linear system to be solved. It is used
80   // to determine the sparsity structure of the preconditioner matrix.
81   //
82   // It has the same structural requirement as other Schur complement
83   // based solvers. Please see schur_eliminator.h for more details.
84   SchurJacobiPreconditioner(const CompressedRowBlockStructure& bs,
85                             const Preconditioner::Options& options);
86   virtual ~SchurJacobiPreconditioner();
87 
88   // Preconditioner interface.
89   virtual void RightMultiply(const double* x, double* y) const;
90   virtual int num_rows() const;
91 
92  private:
93   void InitEliminator(const CompressedRowBlockStructure& bs);
94   virtual bool UpdateImpl(const BlockSparseMatrix& A, const double* D);
95 
96   Preconditioner::Options options_;
97 
98   // Sizes of the blocks in the schur complement.
99   vector<int> block_size_;
100   scoped_ptr<SchurEliminatorBase> eliminator_;
101 
102   // Preconditioner matrix.
103   scoped_ptr<BlockRandomAccessDiagonalMatrix> m_;
104   CERES_DISALLOW_COPY_AND_ASSIGN(SchurJacobiPreconditioner);
105 };
106 
107 }  // namespace internal
108 }  // namespace ceres
109 
110 #endif  // CERES_INTERNAL_SCHUR_JACOBI_PRECONDITIONER_H_
111