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