You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
70 lines
2.1 KiB
70 lines
2.1 KiB
1 year ago
|
// This file is part of libigl, a simple c++ geometry processing library.
|
||
|
|
//
|
||
|
|
// Copyright (C) 2020 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_CR_VECTOR_MASS
|
||
|
|
#define IGL_CR_VECTOR_MASS
|
||
|
|
|
||
|
|
#include "igl_inline.h"
|
||
|
|
|
||
|
|
#include <Eigen/Core>
|
||
|
|
#include <Eigen/Sparse>
|
||
|
|
|
||
|
|
|
||
|
|
namespace igl
|
||
|
|
{
|
||
|
|
/// Computes the CR vector mass matrix, using an arrangement of all parallel
|
||
|
|
/// degrees of freedom first, and all perpendicular degrees of freedom next.
|
||
|
|
/// See Oded Stein, Max Wardetzky, Alec Jacobson, Eitan Grinspun, 2020.
|
||
|
|
/// "A Simple Discretization of the Vector Dirichlet Energy"
|
||
|
|
///
|
||
|
|
/// @param[in] V #V by 3 list of mesh vertex positions
|
||
|
|
/// @param[in] F #F by 3 list of mesh face indices into rows of V
|
||
|
|
/// @param[in] E #F by 3 a mapping from each halfedge to each edge
|
||
|
|
/// @param[out] L 2*|HE| by 2*|HE| computed Mass matrix
|
||
|
|
template <typename DerivedV, typename DerivedF, typename DerivedE,
|
||
|
|
typename ScalarM>
|
||
|
|
IGL_INLINE void
|
||
|
|
cr_vector_mass(
|
||
|
|
const Eigen::MatrixBase<DerivedV>& V,
|
||
|
|
const Eigen::MatrixBase<DerivedF>& F,
|
||
|
|
const Eigen::MatrixBase<DerivedE>& E,
|
||
|
|
Eigen::SparseMatrix<ScalarM>& M);
|
||
|
|
/// \overload
|
||
|
|
///
|
||
|
|
/// \brief `E` are (possibly?) computed and output.
|
||
|
|
template <typename DerivedV, typename DerivedF, typename DerivedE,
|
||
|
|
typename ScalarM>
|
||
|
|
IGL_INLINE void
|
||
|
|
cr_vector_mass(
|
||
|
|
const Eigen::MatrixBase<DerivedV>& V,
|
||
|
|
const Eigen::MatrixBase<DerivedF>& F,
|
||
|
|
Eigen::PlainObjectBase<DerivedE>& E,
|
||
|
|
Eigen::SparseMatrix<ScalarM>& M);
|
||
|
|
/// \overload
|
||
|
|
/// \brief intrinsic version.
|
||
|
|
///
|
||
|
|
/// @param[in] dA #F list of double areas
|
||
|
|
///
|
||
|
|
/// \fileinfo
|
||
|
|
template <typename DerivedF, typename DeriveddA,
|
||
|
|
typename DerivedE, typename ScalarM>
|
||
|
|
IGL_INLINE void
|
||
|
|
cr_vector_mass_intrinsic(
|
||
|
|
const Eigen::MatrixBase<DerivedF>& F,
|
||
|
|
const Eigen::MatrixBase<DeriveddA>& dA,
|
||
|
|
const Eigen::MatrixBase<DerivedE>& E,
|
||
|
|
Eigen::SparseMatrix<ScalarM>& M);
|
||
|
|
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
#ifndef IGL_STATIC_LIBRARY
|
||
|
|
# include "cr_vector_mass.cpp"
|
||
|
|
#endif
|
||
|
|
|
||
|
|
#endif
|