50 lines
1.8 KiB
C++
50 lines
1.8 KiB
C++
// This file is part of libigl, a simple c++ geometry processing library.
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//
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// Copyright (C) 2014 Alec Jacobson <alecjacobson@gmail.com>
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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_COTMATRIX_ENTRIES_H
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#define IGL_COTMATRIX_ENTRIES_H
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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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// COTMATRIX_ENTRIES compute the cotangents of each angle in mesh (V,F)
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//
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// Inputs:
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// V #V by dim list of rest domain positions
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// F #F by {3|4} list of {triangle|tetrahedra} indices into V
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// Outputs:
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// C #F by 3 list of 1/2*cotangents corresponding angles
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// for triangles, columns correspond to edges [1,2],[2,0],[0,1]
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// OR
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// C #F by 6 list of 1/6*cotangents of dihedral angles*edge lengths
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// for tets, columns along edges [1,2],[2,0],[0,1],[3,0],[3,1],[3,2]
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//
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template <typename DerivedV, typename DerivedF, typename DerivedC>
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IGL_INLINE void cotmatrix_entries(
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const Eigen::MatrixBase<DerivedV>& V,
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const Eigen::MatrixBase<DerivedF>& F,
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Eigen::PlainObjectBase<DerivedC>& C);
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// Intrinsic version.
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//
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// Inputs:
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// l #F by 3 list of triangle edge lengths (see edge_lengths)
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// Outputs:
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// C #F by 3 list of 1/2*cotangents corresponding angles
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// for triangles, columns correspond to edges [1,2],[2,0],[0,1]
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template <typename Derivedl, typename DerivedC>
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IGL_INLINE void cotmatrix_entries(
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const Eigen::MatrixBase<Derivedl>& l,
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Eigen::PlainObjectBase<DerivedC>& C);
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}
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#ifndef IGL_STATIC_LIBRARY
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# include "cotmatrix_entries.cpp"
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#endif
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#endif
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