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cpp
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libigl
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شاخه: alecjacobson/parallel_for
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libigl
/
include
/
igl
/
polar_svd.h

polar_svd.h 2.6 KB
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  1. // This file is part of libigl, a simple c++ geometry processing library.
    2. 

  2. // 
    3. 

  3. // Copyright (C) 2013 Alec Jacobson <[email protected]>
    4. 

  4. // 
    5. 

  5. // This Source Code Form is subject to the terms of the Mozilla Public License 
    6. 

  6. // v. 2.0. If a copy of the MPL was not distributed with this file, You can 
    7. 

  7. // obtain one at http://mozilla.org/MPL/2.0/.
    8. 

  8. #ifndef IGL_POLAR_SVD
    9. 

  9. #define IGL_POLAR_SVD
    10. 

  10. #include "igl_inline.h"
    11. 

  11. #include <Eigen/Core>
    12. 

  12. 

  13. namespace igl
    14. 

  14. {
    15. 

  15.   /// Computes the polar decomposition (R,T) of a matrix A using SVD singular
    16. 

  16.   /// value decomposition
    17. 

  17.   ///
    18. 

  18.   /// @param[in] A  3 by 3 matrix to be decomposed
    19. 

  19.   /// @param[in] includeReflections  Whether to force R to be a rotation, or allow it to be a reflection
    20. 

  20.   /// @param[out] R  3 by 3 rotation matrix part of decomposition (**always rotataion**)
    21. 

  21.   /// @param[out] T  3 by 3 stretch matrix part of decomposition
    22. 

  22.   /// @param[out] U  3 by 3 left-singular vectors
    23. 

  23.   /// @param[out] S  3 by 1 singular values
    24. 

  24.   /// @param[out] V  3 by 3 right-singular vectors
    25. 

  25.   ///
    26. 

  26.   ///
    27. 

  27.   template <
    28. 

  28.     typename DerivedA,
    29. 

  29.     typename DerivedR,
    30. 

  30.     typename DerivedT,
    31. 

  31.     typename DerivedU,
    32. 

  32.     typename DerivedS,
    33. 

  33.     typename DerivedV>
    34. 

  34.   IGL_INLINE void polar_svd(
    35. 

  35.     const Eigen::MatrixBase<DerivedA> & A,
    36. 

  36.     bool includeReflections,
    37. 

  37.     Eigen::PlainObjectBase<DerivedR> & R,
    38. 

  38.     Eigen::PlainObjectBase<DerivedT> & T,
    39. 

  39.     Eigen::PlainObjectBase<DerivedU> & U,
    40. 

  40.     Eigen::PlainObjectBase<DerivedS> & S,
    41. 

  41.     Eigen::PlainObjectBase<DerivedV> & V);
    42. 

  42.   /// \overload
    43. 

  43.   template <
    44. 

  44.     typename DerivedA,
    45. 

  45.     typename DerivedR,
    46. 

  46.     typename DerivedT>
    47. 

  47.   IGL_INLINE void polar_svd(
    48. 

  48.     const Eigen::MatrixBase<DerivedA> & A,
    49. 

  49.     const bool includeReflections,
    50. 

  50.     Eigen::PlainObjectBase<DerivedR> & R,
    51. 

  51.     Eigen::PlainObjectBase<DerivedT> & T);
    52. 

  52.   /// \overload
    53. 

  53.   /// \brief For backward compatibility, these set includeReflections = false.
    54. 

  54.   template <
    55. 

  55.     typename DerivedA,
    56. 

  56.     typename DerivedR,
    57. 

  57.     typename DerivedT,
    58. 

  58.     typename DerivedU,
    59. 

  59.     typename DerivedS,
    60. 

  60.     typename DerivedV>
    61. 

  61.   IGL_INLINE void polar_svd(
    62. 

  62.     const Eigen::MatrixBase<DerivedA> & A,
    63. 

  63.     Eigen::PlainObjectBase<DerivedR> & R,
    64. 

  64.     Eigen::PlainObjectBase<DerivedT> & T,
    65. 

  65.     Eigen::PlainObjectBase<DerivedU> & U,
    66. 

  66.     Eigen::PlainObjectBase<DerivedS> & S,
    67. 

  67.     Eigen::PlainObjectBase<DerivedV> & V);
    68. 

  68.   /// \overload
    69. 

  69.   template <
    70. 

  70.     typename DerivedA,
    71. 

  71.     typename DerivedR,
    72. 

  72.     typename DerivedT>
    73. 

  73.   IGL_INLINE void polar_svd(
    74. 

  74.     const Eigen::MatrixBase<DerivedA> & A,
    75. 

  75.     Eigen::PlainObjectBase<DerivedR> & R,
    76. 

  76.     Eigen::PlainObjectBase<DerivedT> & T);
    77. 

  77. }
    78. 

  78. #ifndef IGL_STATIC_LIBRARY
    79. 

  79. #  include "polar_svd.cpp"
    80. 

  80. #endif
    81. 

  81. #endif
    82.