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Merged branch 'dev_native' into lm_sla_supports_auto

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Added igl library files
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Lukas Matena 2018-10-26 15:45:52 +02:00
commit 7681d00ee5
2865 changed files with 142806 additions and 22325 deletions
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src/igl/centroid.cpp Normal file
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// This file is part of libigl, a simple c++ geometry processing library.
//
// Copyright (C) 2014 Alec Jacobson <alecjacobson@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/.
#include "centroid.h"
#include <Eigen/Geometry>
template <
typename DerivedV,
typename DerivedF,
typename Derivedc,
typename Derivedvol>
IGL_INLINE void igl::centroid(
const Eigen::MatrixBase<DerivedV>& V,
const Eigen::MatrixBase<DerivedF>& F,
Eigen::PlainObjectBase<Derivedc>& cen,
Derivedvol & vol)
{
using namespace Eigen;
assert(F.cols() == 3 && "F should contain triangles.");
assert(V.cols() == 3 && "V should contain 3d points.");
const int m = F.rows();
cen.setZero();
vol = 0;
// loop over faces
for(int f = 0;f<m;f++)
{
// "Calculating the volume and centroid of a polyhedron in 3d" [Nuernberg 2013]
// http://www2.imperial.ac.uk/~rn/centroid.pdf
// rename corners
typedef Eigen::Matrix<typename DerivedV::Scalar,1,3> RowVector3S;
const RowVector3S & a = V.row(F(f,0));
const RowVector3S & b = V.row(F(f,1));
const RowVector3S & c = V.row(F(f,2));
// un-normalized normal
const RowVector3S & n = (b-a).cross(c-a);
// total volume via divergence theorem: ∫ 1
vol += n.dot(a)/6.;
// centroid via divergence theorem and midpoint quadrature: ∫ x
cen.array() += (1./24.*n.array()*((a+b).array().square() + (b+c).array().square() +
(c+a).array().square()).array());
}
cen *= 1./(2.*vol);
}
template <
typename DerivedV,
typename DerivedF,
typename Derivedc>
IGL_INLINE void igl::centroid(
const Eigen::MatrixBase<DerivedV>& V,
const Eigen::MatrixBase<DerivedF>& F,
Eigen::PlainObjectBase<Derivedc>& c)
{
typename Derivedc::Scalar vol;
return centroid(V,F,c,vol);
}
#ifdef IGL_STATIC_LIBRARY
// Explicit template instantiation
// generated by autoexplicit.sh
template void igl::centroid<Eigen::Matrix<float, -1, 3, 1, -1, 3>, Eigen::Matrix<int, -1, 3, 1, -1, 3>, Eigen::Matrix<float, 1, 3, 1, 1, 3> >(Eigen::MatrixBase<Eigen::Matrix<float, -1, 3, 1, -1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, 3, 1, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<float, 1, 3, 1, 1, 3> >&);
template void igl::centroid<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<double, 3, 1, 0, 3, 1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, 3, 1, 0, 3, 1> >&);
#endif