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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/hessian.cpp Normal file
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// This file is part of libigl, a simple c++ geometry processing library.
//
// Copyright (C) 2017 Alec Jacobson <alecjacobson@gmail.com>
// and Oded Stein <oded.stein@columbia.edu>
//
// 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 "hessian.h"
#include <vector>
#include "grad.h"
#include "igl/doublearea.h"
#include "igl/repdiag.h"
template <typename DerivedV, typename DerivedF, typename Scalar>
IGL_INLINE void igl::hessian(
const Eigen::MatrixBase<DerivedV> & V,
const Eigen::MatrixBase<DerivedF> & F,
Eigen::SparseMatrix<Scalar>& H)
{
typedef typename DerivedV::Scalar denseScalar;
typedef typename Eigen::Matrix<denseScalar, Eigen::Dynamic, 1> VecXd;
typedef typename Eigen::SparseMatrix<Scalar> SparseMat;
typedef typename Eigen::DiagonalMatrix
<Scalar, Eigen::Dynamic, Eigen::Dynamic> DiagMat;
int dim = V.cols();
assert((dim==2 || dim==3) &&
"The dimension of the vertices should be 2 or 3");
//Construct the combined gradient matric
SparseMat G;
igl::grad(DerivedV(V),
DerivedF(F),
G, false);
SparseMat GG(F.rows(), dim*V.rows());
GG.reserve(G.nonZeros());
for(int i=0; i<dim; ++i)
GG.middleCols(i*G.cols(),G.cols()) = G.middleRows(i*F.rows(),F.rows());
SparseMat D;
igl::repdiag(GG,dim,D);
//Compute area matrix
VecXd areas;
igl::doublearea(V, F, areas);
DiagMat A = (0.5*areas).replicate(dim,1).asDiagonal();
//Compute FEM Hessian
H = D.transpose()*A*G;
}
#ifdef IGL_STATIC_LIBRARY
// Explicit template instantiation
template void igl::hessian<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, double>(Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::SparseMatrix<double, 0, int>&);
#endif