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64 lines
2.2 KiB
64 lines
2.2 KiB
// 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_MASSMATRIX_H
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#define IGL_MASSMATRIX_H
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#include "igl_inline.h"
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#include <Eigen/Dense>
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#include <Eigen/Sparse>
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namespace igl
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{
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/// Type of mass matrix
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enum MassMatrixType
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{
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/// Lumping area of each element to corner vertices in equal parts
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MASSMATRIX_TYPE_BARYCENTRIC = 0,
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/// Lumping area by Voronoi dual area (clamped to be positive according to
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/// Meyer et al. 2003)
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MASSMATRIX_TYPE_VORONOI = 1,
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/// Full (non-diagonal mass matrix) for piecewise linear functions
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MASSMATRIX_TYPE_FULL = 2,
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/// Use MASSMATRIX_TYPE_VORONOI for triangles and MASSMATRIX_TYPE_BARYCENTRIC
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/// for tetrahedra
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MASSMATRIX_TYPE_DEFAULT = 3,
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/// Total number of mass matrix types
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NUM_MASSMATRIX_TYPES = 4
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};
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/// Constructs the mass (area) matrix for a given mesh (V,F).
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///
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/// @tparam DerivedV derived type of eigen matrix for V (e.g. derived from
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/// MatrixXd)
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/// @tparam DerivedF derived type of eigen matrix for F (e.g. derived from
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/// MatrixXi)
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/// @tparam Scalar scalar type for eigen sparse matrix (e.g. double)
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/// @param[in] V #V by dim list of mesh vertex positions
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/// @param[in] F #F by simplex_size list of mesh elements (triangles or tetrahedra)
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/// @param[in] type one of the following ints:
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/// MASSMATRIX_TYPE_BARYCENTRIC barycentric {default for tetrahedra}
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/// MASSMATRIX_TYPE_VORONOI voronoi-hybrid {default for triangles, not implemented for tetrahedra}
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/// MASSMATRIX_TYPE_FULL full
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/// @param[out] M #V by #V mass matrix
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///
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/// \see cotmatrix
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///
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template <typename DerivedV, typename DerivedF, typename Scalar>
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IGL_INLINE void massmatrix(
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const Eigen::MatrixBase<DerivedV> & V,
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const Eigen::MatrixBase<DerivedF> & F,
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const MassMatrixType type,
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Eigen::SparseMatrix<Scalar>& M);
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}
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#ifndef IGL_STATIC_LIBRARY
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# include "massmatrix.cpp"
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#endif
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#endif
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