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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/.
- #ifndef IGL_FEM_HESSIAN_H
- #define IGL_FEM_HESSIAN_H
- #include "igl_inline.h"
- #include <Eigen/Dense>
- #include <Eigen/Sparse>
- namespace igl
- {
- // Constructs the finite element Hessian matrix
- // as described in https://arxiv.org/abs/1707.04348,
- // Natural Boundary Conditions for Smoothing in Geometry Processing
- // (Oded Stein, Eitan Grinspun, Max Wardetzky, Alec Jacobson)
- // The interior vertices are NOT set to zero yet.
- //
- // Inputs:
- // V #V by dim list of mesh vertex positions
- // F #F by 3 list of mesh faces (must be triangles)
- // Outputs:
- // H #V by #V Hessian energy matrix, each column i
- // corresponding to V(i,:)
- //
- //
- //
- template <typename DerivedV, typename DerivedF, typename Scalar>
- IGL_INLINE void hessian(
- const Eigen::MatrixBase<DerivedV> & V,
- const Eigen::MatrixBase<DerivedF> & F,
- Eigen::SparseMatrix<Scalar>& H);
-
- }
- #ifndef IGL_STATIC_LIBRARY
- # include "hessian.cpp"
- #endif
- #endif
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