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58 lines
2.4 KiB
58 lines
2.4 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) 2017 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_CROUZEIX_RAVIART_COTMATRIX
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#define IGL_CROUZEIX_RAVIART_COTMATRIX
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#include "igl_inline.h"
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#include <Eigen/Core>
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#include <Eigen/Sparse>
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namespace igl
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{
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/// Compute the Crouzeix-Raviart cotangent stiffness matrix.
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///
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/// See for example "Discrete Quadratic Curvature Energies" [Wardetzky, Bergou,
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/// Harmon, Zorin, Grinspun 2007]
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///
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/// @param[in] V #V by dim list of vertex positions
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/// @param[in] F #F by 3/4 list of triangle/tetrahedron indices
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/// @param[out] L #E by #E edge/face-based diagonal cotangent matrix
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/// @param[out] E #E by 2/3 list of edges/faces
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/// @param[out] EMAP #F*3/4 list of indices mapping allE to E
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///
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/// \see crouzeix_raviart_massmatrix
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template <typename DerivedV, typename DerivedF, typename LT, typename DerivedE, typename DerivedEMAP>
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void crouzeix_raviart_cotmatrix(
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const Eigen::MatrixBase<DerivedV> & V,
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const Eigen::MatrixBase<DerivedF> & F,
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Eigen::SparseMatrix<LT> & L,
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Eigen::PlainObjectBase<DerivedE> & E,
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Eigen::PlainObjectBase<DerivedEMAP> & EMAP);
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/// Compute the Crouzeix-Raviart cotangent stiffness matrix.
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///
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/// See for example "Discrete Quadratic Curvature Energies" [Wardetzky, Bergou,
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/// Harmon, Zorin, Grinspun 2007]
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///
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/// @param[in] V #V by dim list of vertex positions
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/// @param[in] F #F by 3/4 list of triangle/tetrahedron indices
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/// @param[in] E #E by 2/3 list of edges/faces
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/// @param[in] EMAP #F*3/4 list of indices mapping allE to E
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/// @param[out] L #E by #E edge/face-based diagonal cotangent matrix
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///
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/// \see crouzeix_raviart_massmatrix
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template <typename DerivedV, typename DerivedF, typename DerivedE, typename DerivedEMAP, typename LT>
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void crouzeix_raviart_cotmatrix(
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const Eigen::MatrixBase<DerivedV> & V,
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const Eigen::MatrixBase<DerivedF> & F,
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const Eigen::MatrixBase<DerivedE> & E,
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const Eigen::MatrixBase<DerivedEMAP> & EMAP,
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Eigen::SparseMatrix<LT> & L);
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}
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#ifndef IGL_STATIC_LIBRARY
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# include "crouzeix_raviart_cotmatrix.cpp"
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#endif
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#endif
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