97 lines
3.0 KiB
C
97 lines
3.0 KiB
C
|
// This file is part of libigl, a simple c++ geometry processing library.
|
||
|
|
//
|
||
|
|
// Copyright (C) 2015 Alec Jacobson <alecjacobson@gmail.com>
|
||
|
|
//
|
||
|
|
// 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_SLICE_TETS_H
|
||
|
|
#define IGL_SLICE_TETS_H
|
||
|
|
#include "igl_inline.h"
|
||
|
|
|
||
|
|
#include <Eigen/Dense>
|
||
|
|
#include <Eigen/Sparse>
|
||
|
|
|
||
|
|
#include <vector>
|
||
|
|
|
||
|
|
namespace igl
|
||
|
|
{
|
||
|
|
// SLICE_TETS Slice through a tet mesh (V,T) along a given plane (via its
|
||
|
|
// implicit equation).
|
||
|
|
//
|
||
|
|
// Inputs:
|
||
|
|
// V #V by 3 list of tet mesh vertices
|
||
|
|
// T #T by 4 list of tet indices into V
|
||
|
|
//// plane list of 4 coefficients in the plane equation: [x y z 1]'*plane = 0
|
||
|
|
// S #V list of values so that S = 0 is the desired isosurface
|
||
|
|
// Outputs:
|
||
|
|
// SV #SV by 3 list of triangle mesh vertices along slice
|
||
|
|
// SF #SF by 3 list of triangles indices into SV
|
||
|
|
// J #SF list of indices into T revealing from which tet each faces comes
|
||
|
|
// BC #SU by #V list of barycentric coordinates (or more generally: linear
|
||
|
|
// interpolation coordinates) so that SV = BC*V
|
||
|
|
//
|
||
|
|
template <
|
||
|
|
typename DerivedV,
|
||
|
|
typename DerivedT,
|
||
|
|
typename DerivedS,
|
||
|
|
typename DerivedSV,
|
||
|
|
typename DerivedSF,
|
||
|
|
typename DerivedJ,
|
||
|
|
typename BCType>
|
||
|
|
IGL_INLINE void slice_tets(
|
||
|
|
const Eigen::MatrixBase<DerivedV>& V,
|
||
|
|
const Eigen::MatrixBase<DerivedT>& T,
|
||
|
|
const Eigen::MatrixBase<DerivedS> & S,
|
||
|
|
Eigen::PlainObjectBase<DerivedSV>& SV,
|
||
|
|
Eigen::PlainObjectBase<DerivedSF>& SF,
|
||
|
|
Eigen::PlainObjectBase<DerivedJ>& J,
|
||
|
|
Eigen::SparseMatrix<BCType> & BC);
|
||
|
|
template <
|
||
|
|
typename DerivedV,
|
||
|
|
typename DerivedT,
|
||
|
|
typename DerivedS,
|
||
|
|
typename DerivedSV,
|
||
|
|
typename DerivedSF,
|
||
|
|
typename DerivedJ>
|
||
|
|
IGL_INLINE void slice_tets(
|
||
|
|
const Eigen::MatrixBase<DerivedV>& V,
|
||
|
|
const Eigen::MatrixBase<DerivedT>& T,
|
||
|
|
const Eigen::MatrixBase<DerivedS> & S,
|
||
|
|
Eigen::PlainObjectBase<DerivedSV>& SV,
|
||
|
|
Eigen::PlainObjectBase<DerivedSF>& SF,
|
||
|
|
Eigen::PlainObjectBase<DerivedJ>& J);
|
||
|
|
// Outputs:
|
||
|
|
// sE #SV by 2 list of sorted edge indices into V
|
||
|
|
// lambda #SV by 1 list of parameters along each edge in sE so that:
|
||
|
|
// SV(i,:) = V(sE(i,1),:)*lambda(i) + V(sE(i,2),:)*(1-lambda(i));
|
||
|
|
template <
|
||
|
|
typename DerivedV,
|
||
|
|
typename DerivedT,
|
||
|
|
typename DerivedS,
|
||
|
|
typename DerivedSV,
|
||
|
|
typename DerivedSF,
|
||
|
|
typename DerivedJ,
|
||
|
|
typename DerivedsE,
|
||
|
|
typename Derivedlambda
|
||
|
|
>
|
||
|
|
IGL_INLINE void slice_tets(
|
||
|
|
const Eigen::MatrixBase<DerivedV>& V,
|
||
|
|
const Eigen::MatrixBase<DerivedT>& T,
|
||
|
|
const Eigen::MatrixBase<DerivedS> & S,
|
||
|
|
Eigen::PlainObjectBase<DerivedSV>& SV,
|
||
|
|
Eigen::PlainObjectBase<DerivedSF>& SF,
|
||
|
|
Eigen::PlainObjectBase<DerivedJ>& J,
|
||
|
|
Eigen::PlainObjectBase<DerivedsE>& sE,
|
||
|
|
Eigen::PlainObjectBase<Derivedlambda>& lambda);
|
||
|
|
|
||
|
|
}
|
||
|
|
|
||
|
|
#ifndef IGL_STATIC_LIBRARY
|
||
|
|
# include "slice_tets.cpp"
|
||
|
|
#endif
|
||
|
|
|
||
|
|
#endif
|
||
|
|
|
||
|
|
|