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127 lines
4.3 KiB
127 lines
4.3 KiB
// This file is part of libigl, a simple c++ geometry processing library.
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//
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// Copyright (C) 2020 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 "curved_hessian_energy.h"
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#include "orient_halfedges.h"
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#include "doublearea.h"
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#include "squared_edge_lengths.h"
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#include "cr_vector_laplacian.h"
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#include "cr_vector_mass.h"
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#include "cr_vector_curvature_correction.h"
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#include "scalar_to_cr_vector_gradient.h"
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template <typename DerivedV, typename DerivedF, typename ScalarQ>
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IGL_INLINE void
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igl::curved_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<ScalarQ>& Q)
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{
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Eigen::MatrixXi E, oE;
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curved_hessian_energy(V, F, E, oE, Q);
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}
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template <typename DerivedV, typename DerivedF, typename DerivedE,
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typename DerivedOE, typename ScalarQ>
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IGL_INLINE void
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igl::curved_hessian_energy(
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const Eigen::MatrixBase<DerivedV>& V,
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const Eigen::MatrixBase<DerivedF>& F,
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const Eigen::MatrixBase<DerivedE>& E,
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const Eigen::MatrixBase<DerivedOE>& oE,
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Eigen::SparseMatrix<ScalarQ>& Q)
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{
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Eigen::Matrix<typename DerivedV::Scalar, Eigen::Dynamic, Eigen::Dynamic>
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l_sq;
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squared_edge_lengths(V, F, l_sq);
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curved_hessian_energy_intrinsic(F, l_sq, E, oE, Q);
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}
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template <typename DerivedV, typename DerivedF, typename DerivedE,
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typename DerivedOE, typename ScalarQ>
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IGL_INLINE void
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igl::curved_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::PlainObjectBase<DerivedE>& E,
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Eigen::PlainObjectBase<DerivedOE>& oE,
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Eigen::SparseMatrix<ScalarQ>& Q)
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{
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if(E.rows()!=F.rows() || E.cols()!=F.cols() || oE.rows()!=F.rows() ||
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oE.cols()!=F.cols()) {
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orient_halfedges(F, E, oE);
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}
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const Eigen::PlainObjectBase<DerivedE>& cE = E;
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const Eigen::PlainObjectBase<DerivedOE>& coE = oE;
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curved_hessian_energy(V, F, cE, coE, Q);
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}
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template <typename DerivedF, typename DerivedL_sq, typename DerivedE,
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typename DerivedOE, typename ScalarQ>
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IGL_INLINE void
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igl::curved_hessian_energy_intrinsic(
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const Eigen::MatrixBase<DerivedF>& F,
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const Eigen::MatrixBase<DerivedL_sq>& l_sq,
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const Eigen::MatrixBase<DerivedE>& E,
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const Eigen::MatrixBase<DerivedOE>& oE,
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Eigen::SparseMatrix<ScalarQ>& Q)
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{
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Eigen::Matrix<typename DerivedL_sq::Scalar, Eigen::Dynamic, Eigen::Dynamic>
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dA;
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Eigen::Matrix<typename DerivedL_sq::Scalar, Eigen::Dynamic, Eigen::Dynamic>
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l_sqrt = l_sq.array().sqrt().matrix();
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doublearea(l_sqrt, dA);
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curved_hessian_energy_intrinsic(F, l_sq, dA, E, oE, Q);
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}
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template <typename DerivedF, typename DerivedL_sq, typename DeriveddA,
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typename DerivedE, typename DerivedOE, typename ScalarQ>
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IGL_INLINE void
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igl::curved_hessian_energy_intrinsic(
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const Eigen::MatrixBase<DerivedF>& F,
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const Eigen::MatrixBase<DerivedL_sq>& l_sq,
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const Eigen::MatrixBase<DeriveddA>& dA,
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const Eigen::MatrixBase<DerivedE>& E,
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const Eigen::MatrixBase<DerivedOE>& oE,
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Eigen::SparseMatrix<ScalarQ>& Q)
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{
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//Matrices that need to be combined
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Eigen::SparseMatrix<ScalarQ> M, D, L, K;
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cr_vector_mass_intrinsic(F, l_sq, dA, E, oE, M);
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scalar_to_cr_vector_gradient_intrinsic(F, l_sq, dA, E, oE, D);
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cr_vector_laplacian_intrinsic(F, l_sq, dA, E, oE, L);
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cr_vector_curvature_correction_intrinsic(F, l_sq, E, oE, K);
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//Invert M
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std::vector<Eigen::Triplet<ScalarQ> > tripletListMi;
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for(Eigen::Index k=0; k<M.outerSize(); ++k) {
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for(typename Eigen::SparseMatrix<ScalarQ>::InnerIterator it(M,k);
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it; ++it) {
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if(it.value() > 0) {
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tripletListMi.emplace_back(it.row(), it.col(), 1./it.value());
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}
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}
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}
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Eigen::SparseMatrix<ScalarQ> Mi(M.rows(), M.cols());
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Mi.setFromTriplets(tripletListMi.begin(), tripletListMi.end());
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//Hessian energy matrix
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Q = D.transpose()*Mi*(L + K)*Mi*D;
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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::curved_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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