dust3d/third_party/libigl/include/igl/principal_curvature.h

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// This file is part of libigl, a simple c++ geometry processing library.
//
// Copyright (C) 2013 Daniele Panozzo <daniele.panozzo@gmail.com>
//
// This Source Code Form is subject to the terms of the Mozilla Public License
// v. 2.0. If a copy of the MPL was not distributed with this file, You can
// obtain one at http://mozilla.org/MPL/2.0/.
#ifndef IGL_PRINCIPAL_CURVATURE_H
#define IGL_PRINCIPAL_CURVATURE_H
#include <Eigen/Geometry>
#include <Eigen/Dense>
#include <vector>
#include "igl_inline.h"
//#include <igl/cotmatrix.h>
//#include <igl/writeOFF.h>
namespace igl
{
// Compute the principal curvature directions and magnitude of the given triangle mesh
// DerivedV derived from vertex positions matrix type: i.e. MatrixXd
// DerivedF derived from face indices matrix type: i.e. MatrixXi
// Inputs:
// V eigen matrix #V by 3
// F #F by 3 list of mesh faces (must be triangles)
// radius controls the size of the neighbourhood used, 1 = average edge length
//
// Outputs:
// PD1 #V by 3 maximal curvature direction for each vertex.
// PD2 #V by 3 minimal curvature direction for each vertex.
// PV1 #V by 1 maximal curvature value for each vertex.
// PV2 #V by 1 minimal curvature value for each vertex.
//
// Return value:
// Function returns vector of indices of bad vertices if any.
//
// See also: average_onto_faces, average_onto_vertices
//
// This function has been developed by: Nikolas De Giorgis, Luigi Rocca and Enrico Puppo.
// The algorithm is based on:
// Efficient Multi-scale Curvature and Crease Estimation
// Daniele Panozzo, Enrico Puppo, Luigi Rocca
// GraVisMa, 2010
template <
typename DerivedV,
typename DerivedF,
typename DerivedPD1,
typename DerivedPD2,
typename DerivedPV1,
typename DerivedPV2>
IGL_INLINE void principal_curvature(
const Eigen::PlainObjectBase<DerivedV>& V,
const Eigen::PlainObjectBase<DerivedF>& F,
Eigen::PlainObjectBase<DerivedPD1>& PD1,
Eigen::PlainObjectBase<DerivedPD2>& PD2,
Eigen::PlainObjectBase<DerivedPV1>& PV1,
Eigen::PlainObjectBase<DerivedPV2>& PV2,
unsigned radius = 5,
bool useKring = true);
template <
typename DerivedV,
typename DerivedF,
typename DerivedPD1,
typename DerivedPD2,
typename DerivedPV1,
typename DerivedPV2,
typename Index>
IGL_INLINE void principal_curvature(
const Eigen::PlainObjectBase<DerivedV>& V,
const Eigen::PlainObjectBase<DerivedF>& F,
Eigen::PlainObjectBase<DerivedPD1>& PD1,
Eigen::PlainObjectBase<DerivedPD2>& PD2,
Eigen::PlainObjectBase<DerivedPV1>& PV1,
Eigen::PlainObjectBase<DerivedPV2>& PV2,
std::vector<Index>& bad_vertices,
unsigned radius = 5,
bool useKring = true);
}
#ifndef IGL_STATIC_LIBRARY
#include "principal_curvature.cpp"
#endif
#endif