1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
|
// 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
|
