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// This file is part of libigl, a simple c++ geometry processing library.
//
// Copyright (C) 2018 Francis Williams <francis@fwilliams.info>
//
// 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_MARCHING_TETS_H
#define IGL_MARCHING_TETS_H
#include "igl_inline.h"
#include <Eigen/Core>
#include <Eigen/Sparse>
namespace igl {
// marching_tets( TV, TT, S, isovalue, SV, SF, J, BC)
//
// performs the marching tetrahedra algorithm on a tet mesh defined by TV and
// TT with scalar values defined at each vertex in TV. The output is a
// triangle mesh approximating the isosurface coresponding to the value
// isovalue.
//
// Input:
// TV #tet_vertices x 3 array -- The vertices of the tetrahedral mesh
// TT #tets x 4 array -- The indexes of each tet in the tetrahedral mesh
// S #tet_vertices x 1 array -- The values defined on each tet vertex
// isovalue scalar -- The isovalue of the level set we want to compute
//
// Output:
// SV #SV x 3 array -- The vertices of the output level surface mesh
// SF #SF x 3 array -- The face indexes of the output level surface mesh
// J #SF list of indices into TT revealing which tet each face comes from
// BC #SV x #TV list of barycentric coordinates so that SV = BC*TV
template <typename DerivedTV,
typename DerivedTT,
typename DerivedS,
typename DerivedSV,
typename DerivedSF,
typename DerivedJ,
typename BCType>
IGL_INLINE void marching_tets(
const Eigen::MatrixBase<DerivedTV>& TV,
const Eigen::MatrixBase<DerivedTT>& TT,
const Eigen::MatrixBase<DerivedS>& S,
double isovalue,
Eigen::PlainObjectBase<DerivedSV>& SV,
Eigen::PlainObjectBase<DerivedSF>& SF,
Eigen::PlainObjectBase<DerivedJ>& J,
Eigen::SparseMatrix<BCType>& BC);
// marching_tets( TV, TT, S, SV, SF, J, BC)
//
// Performs the marching tetrahedra algorithm on a tet mesh defined by TV and
// TT with scalar values defined at each vertex in TV. The output is a
// triangle mesh approximating the isosurface coresponding to an isovalue of 0.
//
// Input:
// TV #tet_vertices x 3 array -- The vertices of the tetrahedral mesh
// TT #tets x 4 array -- The indexes of each tet in the tetrahedral mesh
// S #tet_vertices x 1 array -- The values defined on each tet vertex
// isovalue scalar -- The isovalue of the level set we want to compute
//
// Output:
// SV #SV x 3 array -- The vertices of the output level surface mesh
// SF #SF x 3 array -- The face indexes of the output level surface mesh
// J #SF list of indices into TT revealing which tet each face comes from
// BC #SV x #TV list of barycentric coordinates so that SV = BC*TV
template <typename DerivedTV,
typename DerivedTT,
typename DerivedS,
typename DerivedSV,
typename DerivedSF,
typename DerivedJ,
typename BCType>
IGL_INLINE void marching_tets(
const Eigen::MatrixBase<DerivedTV>& TV,
const Eigen::MatrixBase<DerivedTT>& TT,
const Eigen::MatrixBase<DerivedS>& S,
Eigen::PlainObjectBase<DerivedSV>& SV,
Eigen::PlainObjectBase<DerivedSF>& SF,
Eigen::PlainObjectBase<DerivedJ>& J,
Eigen::SparseMatrix<BCType>& BC) {
return igl::marching_tets(TV, TT, S, 0.0, SV, SF, J, BC);
}
// marching_tets( TV, TT, S, isovalue, SV, SF, J)
//
// performs the marching tetrahedra algorithm on a tet mesh defined by TV and
// TT with scalar values defined at each vertex in TV. The output is a
// triangle mesh approximating the isosurface coresponding to the value
// isovalue.
//
// Input:
// TV #tet_vertices x 3 array -- The vertices of the tetrahedral mesh
// TT #tets x 4 array -- The indexes of each tet in the tetrahedral mesh
// S #tet_vertices x 1 array -- The values defined on each tet vertex
// isovalue scalar -- The isovalue of the level set we want to compute
//
// Output:
// SV #SV x 3 array -- The vertices of the output level surface mesh
// SF #SF x 3 array -- The face indexes of the output level surface mesh
// J #SF list of indices into TT revealing which tet each face comes from
template <typename DerivedTV,
typename DerivedTT,
typename DerivedS,
typename DerivedSV,
typename DerivedSF,
typename DerivedJ>
IGL_INLINE void marching_tets(
const Eigen::MatrixBase<DerivedTV>& TV,
const Eigen::MatrixBase<DerivedTT>& TT,
const Eigen::MatrixBase<DerivedS>& S,
double isovalue,
Eigen::PlainObjectBase<DerivedSV>& SV,
Eigen::PlainObjectBase<DerivedSF>& SF,
Eigen::PlainObjectBase<DerivedJ>& J) {
Eigen::SparseMatrix<double> _BC;
return igl::marching_tets(TV, TT, S, isovalue, SV, SF, J, _BC);
}
// marching_tets( TV, TT, S, isovalue, SV, SF, BC)
//
// performs the marching tetrahedra algorithm on a tet mesh defined by TV and
// TT with scalar values defined at each vertex in TV. The output is a
// triangle mesh approximating the isosurface coresponding to the value
// isovalue.
//
// Input:
// TV #tet_vertices x 3 array -- The vertices of the tetrahedral mesh
// TT #tets x 4 array -- The indexes of each tet in the tetrahedral mesh
// S #tet_vertices x 1 array -- The values defined on each tet vertex
// isovalue scalar -- The isovalue of the level set we want to compute
//
// Output:
// SV #SV x 3 array -- The vertices of the output level surface mesh
// SF #SF x 3 array -- The face indexes of the output level surface mesh
// BC #SV x #TV list of barycentric coordinates so that SV = BC*TV
template <typename DerivedTV,
typename DerivedTT,
typename DerivedS,
typename DerivedSV,
typename DerivedSF,
typename BCType>
IGL_INLINE void marching_tets(
const Eigen::MatrixBase<DerivedTV>& TV,
const Eigen::MatrixBase<DerivedTT>& TT,
const Eigen::MatrixBase<DerivedS>& S,
double isovalue,
Eigen::PlainObjectBase<DerivedSV>& SV,
Eigen::PlainObjectBase<DerivedSF>& SF,
Eigen::SparseMatrix<BCType>& BC) {
Eigen::VectorXi _J;
return igl::marching_tets(TV, TT, S, isovalue, SV, SF, _J, BC);
}
// marching_tets( TV, TT, S, isovalue, SV, SF)
//
// performs the marching tetrahedra algorithm on a tet mesh defined by TV and
// TT with scalar values defined at each vertex in TV. The output is a
// triangle mesh approximating the isosurface coresponding to the value
// isovalue.
//
// Input:
// TV #tet_vertices x 3 array -- The vertices of the tetrahedral mesh
// TT #tets x 4 array -- The indexes of each tet in the tetrahedral mesh
// S #tet_vertices x 1 array -- The values defined on each tet vertex
// isovalue scalar -- The isovalue of the level set we want to compute
//
// Output:
// SV #SV x 3 array -- The vertices of the output level surface mesh
// SF #SF x 3 array -- The face indexes of the output level surface mesh
template <typename DerivedTV,
typename DerivedTT,
typename DerivedS,
typename DerivedSV,
typename DerivedSF>
IGL_INLINE void marching_tets(
const Eigen::MatrixBase<DerivedTV>& TV,
const Eigen::MatrixBase<DerivedTT>& TT,
const Eigen::MatrixBase<DerivedS>& S,
double isovalue,
Eigen::PlainObjectBase<DerivedSV>& SV,
Eigen::PlainObjectBase<DerivedSF>& SF) {
Eigen::VectorXi _J;
Eigen::SparseMatrix<double> _BC;
return igl::marching_tets(TV, TT, S, isovalue, SV, SF, _J, _BC);
}
}
#ifndef IGL_STATIC_LIBRARY
# include "marching_tets.cpp"
#endif
#endif // IGL_MARCHING_TETS_H
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