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50 lines
1.9 KiB
50 lines
1.9 KiB
// This file is part of libigl, a simple c++ geometry processing library.
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//
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// Copyright (C) 2018 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_INTRINSIC_DELAUNAY_COTMATRIX_H
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#define IGL_INTRINSIC_DELAUNAY_COTMATRIX_H
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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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/// Computes the discrete cotangent Laplacian of a mesh after converting it
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/// into its intrinsic Delaunay triangulation (see, e.g., [Fisher et al.
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/// 2007].
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///
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/// @param[in] V #V by dim list of mesh vertex positions
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/// @param[in] F #F by 3 list of mesh elements (triangles or tetrahedra)
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/// @param[out] L #V by #V cotangent matrix, each row i corresponding to V(i,:)
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/// @param[out] l_intrinsic #F by 3 list of intrinsic edge-lengths used to compute L
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/// @param[out] F_intrinsic #F by 3 list of intrinsic face indices used to compute L
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///
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/// \see intrinsic_delaunay_triangulation, cotmatrix, cotmatrix_intrinsic
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template <
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typename DerivedV,
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typename DerivedF,
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typename Scalar,
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typename Derivedl_intrinsic,
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typename DerivedF_intrinsic>
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IGL_INLINE void intrinsic_delaunay_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<Scalar>& L,
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Eigen::PlainObjectBase<Derivedl_intrinsic> & l_intrinsic,
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Eigen::PlainObjectBase<DerivedF_intrinsic> & F_intrinsic);
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/// \overload
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template <typename DerivedV, typename DerivedF, typename Scalar>
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IGL_INLINE void intrinsic_delaunay_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<Scalar>& L);
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}
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#ifndef IGL_STATIC_LIBRARY
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# include "intrinsic_delaunay_cotmatrix.cpp"
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#endif
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#endif
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