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
147
148
149
150
151
152
153
154
155
156
157
158
159
|
/**
*
* This file is part of Tulip (www.tulip-software.org)
*
* Authors: David Auber and the Tulip development Team
* from LaBRI, University of Bordeaux
*
* Tulip is free software; you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License
* as published by the Free Software Foundation, either version 3
* of the License, or (at your option) any later version.
*
* Tulip 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.
*
*/
#include "FishEyesScreenFurnas.h"
using namespace tlp;
/* static double ty3(double y, double R) {
double t4 = sqrt(3.0);
double t5 = R*R;
double t9 = y*y;
double t12 = sqrt(16.0*t5-40.0*R*y+27.0*t9);
double t17 = pow((-80.0*R+108.0*y+12.0*t4*t12)*t5,0.3333333333333333);
return 1.0/R*t17/12.0-2.0/3.0*R/t17+1.0/3.0;
}*/
inline double xt3(double t, double R) {
double t1 = 1.0-t;
double t2 = t1*t1;
double t4 = t*t;
double t9 = t4*t4;
return 4.0*R*t2*t4+4.0*R*t1*t4*t+4.0*R*t9;
}
/*inline double tx3(double x, double R) {
double t = 0.5;
double mint = 0.;
double maxt = 1.;
double val = xt3(t,R);
while (fabs(val-x)>1E-4) {
if (val > x) {
maxt = t;
t = (t + mint) / 2.0;
}
else if (val < x) {
mint = t;
t = (maxt + t) / 2.0;
}
val = xt3(t,R);
}
return t;
}*/
//====================================================================
/*static double yt3(double t, double R) {
//y = R*4*(1-t)^3*t + R*4*(1-t)*t^3 + 4*R*t^4
//y = 4Rt - 12Rt^2 + 16Rt^3 - 4Rt^4;
return
R*4.* pow((1-t),3) * t +
2./3. * R * 6.* pow((1-t),2) * pow(t,2)+
R*4.* (1-t) * pow(t,3) +
R*4.* pow(t,4);
}*/
//==============================================================
static double unprojectRho(double rho_s, double R, double k, double) {
// double rho = rho_s;
if (rho_s < R) {
return rho_s * R / ( R * k + R - rho_s * k );
}
else
return rho_s;
// if (rho_s < 3.*R) {
// double t = ty3(rho, R);
// rho = fabs(xt3(t, R));
// }
// return rho;
}
//==============================================================
static double projectRho(double rho, double R, double k, double) {
if (rho < R)
return (k+1) * rho / (k * rho/R + 1);
else
return rho;
/*
double rhos = rho;
if (rho < 3.*R) {
double t = tx3(rho, R);
rhos = fabs(yt3(t, R));
}
return rhos;
*/
}
namespace pocore {
//==============================================================
FishEyesScreenFurnas::FishEyesScreenFurnas() {
R = 50;
k = 4;
l = 5;
fisheyesCenter.fill(0);
}
//==============================================================
void FishEyesScreenFurnas::setRadius(double r) {
R = r;
}
void FishEyesScreenFurnas::setHeight(double h) {
k = h;
if (k <= 0.1) k = 0.1;
if (k > 8) k = 8.0;
}
void FishEyesScreenFurnas::setCenter(double x, double y) {
fisheyesCenter[0] = x;
fisheyesCenter[1] = y;
}
//==============================================================
Vec2f FishEyesScreenFurnas::project(const Vec2f &p) const {
Vec2f dir = p - fisheyesCenter;
double rho_s = fabs(dir.norm());
if (rho_s > 1E-6) {
dir /= rho_s;
double rho = projectRho(rho_s, R, k, l);
dir *= rho;
}
Vec2f result = fisheyesCenter + dir;
return result;
}
//==============================================================
Vec2f FishEyesScreenFurnas::unproject(const Vec2f &p) const {
Vec2f dir = p - fisheyesCenter;
double rho_s = fabs(dir.norm());
if (rho_s > 1E-6) {
dir /= rho_s;
double rho = unprojectRho(rho_s, R, k, l);
if (fabs(rho-rho_s) < 1E-6) return p;
dir *= rho;
}
Vec2f result = fisheyesCenter + dir;
return result;
}
//==============================================================
}
|
