65 lines
2.3 KiB
C++
65 lines
2.3 KiB
C++
// This file is part of libigl, a simple c++ geometry processing library.
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//
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// Copyright (C) 2017 Alec Jacobson <alecjacobson@gmail.com>
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// and Oded Stein <oded.stein@columbia.edu>
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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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#include "hessian_energy.h"
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#include <vector>
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#include "hessian.h"
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#include "massmatrix.h"
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#include "boundary_loop.h"
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template <typename DerivedV, typename DerivedF, typename Scalar>
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IGL_INLINE void igl::hessian_energy(
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const Eigen::MatrixBase<DerivedV> & V,
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const Eigen::MatrixBase<DerivedF> & F,
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Eigen::SparseMatrix<Scalar>& Q)
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{
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typedef typename DerivedV::Scalar denseScalar;
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typedef typename Eigen::Matrix<denseScalar, Eigen::Dynamic, 1> VecXd;
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typedef typename Eigen::SparseMatrix<Scalar> SparseMat;
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typedef typename Eigen::DiagonalMatrix
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<Scalar, Eigen::Dynamic, Eigen::Dynamic> DiagMat;
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int dim = V.cols();
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assert((dim==2 || dim==3) &&
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"The dimension of the vertices should be 2 or 3");
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SparseMat M;
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igl::massmatrix(V,F,igl::MASSMATRIX_TYPE_VORONOI,M);
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//Kill non-interior DOFs
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VecXd Mint = M.diagonal();
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std::vector<std::vector<int> > bdryLoop;
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igl::boundary_loop(DerivedF(F),bdryLoop);
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for(const std::vector<int>& loop : bdryLoop)
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for(const int& bdryVert : loop)
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Mint(bdryVert) = 0.;
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//Invert Mint
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for(int i=0; i<Mint.rows(); ++i)
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if(Mint(i) > 0)
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Mint(i) = 1./Mint(i);
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//Repeat Mint to form diaginal matrix
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DiagMat stackedMinv = Mint.replicate(dim*dim,1).asDiagonal();
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//Compute squared Hessian
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SparseMat H;
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igl::hessian(V,F,H);
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Q = H.transpose()*stackedMinv*H;
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}
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#ifdef IGL_STATIC_LIBRARY
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// Explicit template instantiation
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template void igl::hessian_energy<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>&);
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#endif
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