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
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
|
/*
* This program is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License
* as published by the Free Software Foundation; either version 2
* of the License, or (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software Foundation,
* Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*
* The Original Code is:
* OGF/Graphite: Geometry and Graphics Programming Library + Utilities
* Copyright (C) 2000 Bruno Levy
* Contact: Bruno Levy
* levy@loria.fr
* ISA Project
* LORIA, INRIA Lorraine,
* Campus Scientifique, BP 239
* 54506 VANDOEUVRE LES NANCY CEDEX
* FRANCE
*/
#pragma once
/** \file
* \ingroup freestyle
*/
#include "Geom.h"
#include "../system/FreestyleConfig.h"
#ifdef WITH_CXX_GUARDEDALLOC
# include "MEM_guardedalloc.h"
#endif
namespace Freestyle {
using namespace Geometry;
namespace OGF {
template<class T> inline void ogf_swap(T &x, T &y)
{
T z = x;
x = y;
y = z;
}
//_________________________________________________________
/**
* NormalCycle evaluates the curvature tensor in function
* of a set of dihedral angles and associated vectors.
* Reference:
* Restricted Delaunay Triangulation and Normal Cycle,
* D. Cohen-Steiner and J.M. Morvan,
* SOCG 2003
*/
class NormalCycle {
public:
NormalCycle();
void begin();
void end();
/**
* Note: the specified edge vector needs to be pre-clipped by the neighborhood.
*/
void accumulate_dihedral_angle(const Vec3r &edge, real angle, real neigh_area = 1.0);
const Vec3r &eigen_vector(int i) const
{
return axis_[i_[i]];
}
real eigen_value(int i) const
{
return eigen_value_[i_[i]];
}
const Vec3r &N() const
{
return eigen_vector(2);
}
const Vec3r &Kmax() const
{
return eigen_vector(1);
}
const Vec3r &Kmin() const
{
return eigen_vector(0);
}
real n() const
{
return eigen_value(2);
}
real kmax() const
{
return eigen_value(1);
}
real kmin() const
{
return eigen_value(0);
}
private:
/* UNUSED */
// real center_[3];
Vec3r axis_[3];
real eigen_value_[3];
real M_[6];
int i_[3];
#ifdef WITH_CXX_GUARDEDALLOC
MEM_CXX_CLASS_ALLOC_FUNCS("Freestyle:OGF:NormalCycle")
#endif
};
inline void NormalCycle::accumulate_dihedral_angle(const Vec3r &edge,
const double beta,
double neigh_area)
{
double s = beta * neigh_area / edge.norm();
M_[0] += s * edge.x() * edge.x();
M_[1] += s * edge.x() * edge.y();
M_[2] += s * edge.y() * edge.y();
M_[3] += s * edge.x() * edge.z();
M_[4] += s * edge.y() * edge.z();
M_[5] += s * edge.z() * edge.z();
}
//_________________________________________________________
} // namespace OGF
} /* namespace Freestyle */
|
