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39 lines
1.3 KiB
39 lines
1.3 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) 2014 Daniele Panozzo <daniele.panozzo@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_VECTOR_AREA_MATRIX_H
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#define IGL_VECTOR_AREA_MATRIX_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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/// Constructs the symmetric area matrix A, s.t. [V.col(0)' V.col(1)'] * A *
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/// [V.col(0); V.col(1)] is the **vector area** of the 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] F #F by 3 list of mesh faces (must be triangles)
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/// @param[out] A #Vx2 by #Vx2 area matrix
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///
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template <typename DerivedF, typename Scalar>
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IGL_INLINE void vector_area_matrix(
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const Eigen::MatrixBase<DerivedF> & F,
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Eigen::SparseMatrix<Scalar>& A);
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}
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#ifndef IGL_STATIC_LIBRARY
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# include "vector_area_matrix.cpp"
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#endif
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#endif
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