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- // This file is part of libigl, a simple c++ geometry processing library.
- //
- // Copyright (C) 2013 Alec Jacobson <[email protected]>
- //
- // This Source Code Form is subject to the terms of the Mozilla Public License
- // v. 2.0. If a copy of the MPL was not distributed with this file, You can
- // obtain one at http://mozilla.org/MPL/2.0/.
- #ifndef IGL_POLAR_DEC
- #define IGL_POLAR_DEC
- #include "igl_inline.h"
- #include <Eigen/Core>
- namespace igl
- {
- /// Computes the polar decomposition (R,T) of a matrix A
- ///
- /// @param[in] A 3 by 3 matrix to be decomposed
- /// @param[in] includeReflections Whether to force R to be a rotation, or allow it to be a reflection
- /// @param[out] R 3 by 3 orthonormal matrix part of decomposition
- /// @param[out] T 3 by 3 stretch matrix part of decomposition
- /// @param[out] U 3 by 3 left-singular vectors
- /// @param[out] S 3 by 1 singular values
- /// @param[out] V 3 by 3 right-singular vectors
- ///
- ///
- template <
- typename DerivedA,
- typename DerivedR,
- typename DerivedT,
- typename DerivedU,
- typename DerivedS,
- typename DerivedV>
- IGL_INLINE void polar_dec(
- const Eigen::PlainObjectBase<DerivedA> & A,
- bool includeReflections,
- Eigen::PlainObjectBase<DerivedR> & R,
- Eigen::PlainObjectBase<DerivedT> & T,
- Eigen::PlainObjectBase<DerivedU> & U,
- Eigen::PlainObjectBase<DerivedS> & S,
- Eigen::PlainObjectBase<DerivedV> & V);
- /// \overload
- template <
- typename DerivedA,
- typename DerivedR,
- typename DerivedT>
- IGL_INLINE void polar_dec(
- const Eigen::PlainObjectBase<DerivedA> & A,
- const bool includeReflections,
- Eigen::PlainObjectBase<DerivedR> & R,
- Eigen::PlainObjectBase<DerivedT> & T);
- /// \overload
- /// \brief For backward compatibility, these set includeReflections = false.
- template <
- typename DerivedA,
- typename DerivedR,
- typename DerivedT,
- typename DerivedU,
- typename DerivedS,
- typename DerivedV>
- IGL_INLINE void polar_dec(
- const Eigen::PlainObjectBase<DerivedA> & A,
- Eigen::PlainObjectBase<DerivedR> & R,
- Eigen::PlainObjectBase<DerivedT> & T,
- Eigen::PlainObjectBase<DerivedU> & U,
- Eigen::PlainObjectBase<DerivedS> & S,
- Eigen::PlainObjectBase<DerivedV> & V);
- /// \overload
- template <
- typename DerivedA,
- typename DerivedR,
- typename DerivedT>
- IGL_INLINE void polar_dec(
- const Eigen::PlainObjectBase<DerivedA> & A,
- Eigen::PlainObjectBase<DerivedR> & R,
- Eigen::PlainObjectBase<DerivedT> & T);
- }
- #ifndef IGL_STATIC_LIBRARY
- # include "polar_dec.cpp"
- #endif
- #endif
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