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