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37 lines
1.4 KiB
37 lines
1.4 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_GAUSSIAN_CURVATURE_H
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#define IGL_GAUSSIAN_CURVATURE_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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/// Compute the 2π minus the sum of interior angles at each vertex. For
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/// interior vertices of a manifold mesh this corresponds to the local
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/// integral gaussian curvature ("angle deficit", without averaging by local
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/// area). For boundary vertices, this quantity is not so meaninful. FWIW,
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/// adding π to the output for boundary vertices would produce local integral
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/// geodesic curvature along the boundary curve.
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///
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/// @param[in] V #V by 3 eigen Matrix of mesh vertex 3D positions
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/// @param[in] F #F by 3 eigen Matrix of face (triangle) indices
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/// @param[out] K #V by 1 eigen Matrix of discrete gaussian curvature values
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///
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template <typename DerivedV, typename DerivedF, typename DerivedK>
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IGL_INLINE void gaussian_curvature(
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const Eigen::MatrixBase<DerivedV>& V,
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const Eigen::MatrixBase<DerivedF>& F,
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Eigen::PlainObjectBase<DerivedK> & K);
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}
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#ifndef IGL_STATIC_LIBRARY
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# include "gaussian_curvature.cpp"
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#endif
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#endif
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