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87 lines
2.9 KiB
87 lines
2.9 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) 2013 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_PRINCIPAL_CURVATURE_H
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#define IGL_PRINCIPAL_CURVATURE_H
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#include <Eigen/Geometry>
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#include <Eigen/Dense>
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#include <vector>
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#include "igl_inline.h"
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namespace igl
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{
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/// Compute the principal curvature directions and magnitude of the given triangle mesh
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/// DerivedV derived from vertex positions matrix type: i.e. MatrixXd
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/// DerivedF derived from face indices matrix type: i.e. MatrixXi
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/// @param[in] V eigen matrix #V by 3
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/// @param[in] F #F by 3 list of mesh faces (must be triangles)
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/// @param[out] PD1 #V by 3 maximal curvature direction for each vertex.
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/// @param[out] PD2 #V by 3 minimal curvature direction for each vertex.
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/// @param[out] PV1 #V by 1 maximal curvature value for each vertex.
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/// @param[out] PV2 #V by 1 minimal curvature value for each vertex.
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/// @param[in] radius controls the size of the neighbourhood used, 1 = average edge length
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/// @param[in] useKring use Kring neighbourhood instead of ball neighbourhood
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/// @return vector of indices of bad vertices if any.
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///
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/// This function has been developed by: Nikolas De Giorgis, Luigi Rocca and Enrico Puppo.
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/// The algorithm is based on:
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/// Efficient Multi-scale Curvature and Crease Estimation
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/// Daniele Panozzo, Enrico Puppo, Luigi Rocca
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/// GraVisMa, 2010
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///
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/// \see average_onto_faces, average_onto_vertices
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template <
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typename DerivedV,
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typename DerivedF,
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typename DerivedPD1,
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typename DerivedPD2,
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typename DerivedPV1,
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typename DerivedPV2>
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IGL_INLINE void principal_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<DerivedPD1>& PD1,
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Eigen::PlainObjectBase<DerivedPD2>& PD2,
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Eigen::PlainObjectBase<DerivedPV1>& PV1,
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Eigen::PlainObjectBase<DerivedPV2>& PV2,
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unsigned radius = 5,
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bool useKring = true);
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/// \overload
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/// @param[out] bad_vertices vector of indices of bad vertices if any.
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template <
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typename DerivedV,
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typename DerivedF,
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typename DerivedPD1,
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typename DerivedPD2,
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typename DerivedPV1,
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typename DerivedPV2,
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typename Index>
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IGL_INLINE void principal_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<DerivedPD1>& PD1,
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Eigen::PlainObjectBase<DerivedPD2>& PD2,
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Eigen::PlainObjectBase<DerivedPV1>& PV1,
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Eigen::PlainObjectBase<DerivedPV2>& PV2,
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std::vector<Index>& bad_vertices,
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unsigned radius = 5,
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bool useKring = true);
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}
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#ifndef IGL_STATIC_LIBRARY
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#include "principal_curvature.cpp"
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#endif
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#endif
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