forked from fripon/freeture
-
Notifications
You must be signed in to change notification settings - Fork 0
/
Circle.h
316 lines (218 loc) · 12.7 KB
/
Circle.h
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
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
/*
Circle.h
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
*
* This file is part of: freeture
*
* Copyright: (C) 2014-2015 Yoan Audureau -- FRIPON-GEOPS-UPSUD
*
* License: GNU General Public License
*
* FreeTure 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 3 of the License, or
* (at your option) any later version.
* FreeTure 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 FreeTure. If not, see <http://www.gnu.org/licenses/>.
*
* Last modified: 20/10/2014
*
*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*/
/**
* \file Circle.h
* \author Yoan Audureau -- FRIPON-GEOPS-UPSUD
* \version 1.0
* \date 19/06/2014
* \brief
*/
#pragma once
#include "opencv2/highgui/highgui.hpp"
#include <opencv2/imgproc/imgproc.hpp>
#include <iostream>
#define _USE_MATH_DEFINES
#include <math.h>
#include "Conversion.h"
#include "SaveImg.h"
using namespace cv;
using namespace std;
class Circle {
private :
Point mPos; // Center position.
int mRadius;
public :
Circle(Point center, int radius):mPos(center), mRadius(radius) {
}
Point getCenter() { return mPos;};
int getRadius() { return mRadius;};
bool computeDiskSurfaceIntersection( Circle c2,
float &surfaceCircle1,
float &surfaceCircle2,
float &intersectedSurface,
bool enableDebug,
string debugPath) {
Mat map;
bool res = false;
bool displayIntersectedSurface = false;
if(enableDebug) map = Mat(480, 640, CV_8UC3, Scalar(0,0,0));
surfaceCircle1 = 0.0;
surfaceCircle2 = 0.0;
intersectedSurface = 0.0;
if(enableDebug) circle(map, mPos, mRadius, Scalar(0,255,0));
if(enableDebug) circle(map, c2.getCenter(), c2.getRadius(), Scalar(0,0,255));
// Distance between two circles centers
float distPcNc = sqrt(pow((mPos.x - c2.getCenter().x),2) + pow((mPos.y - c2.getCenter().y),2));
// No intersections.
if(distPcNc > c2.getRadius() + mRadius) {
if(enableDebug) putText(map, "No intersections." , cvPoint(15,15),FONT_HERSHEY_COMPLEX_SMALL, 0.8, cvScalar(0,0,255), 1, CV_AA);
res = false;
// Circles coincide.
}else if(distPcNc == 0 && c2.getRadius() == mRadius) {
if(enableDebug) putText(map, "Circles coincides." , cvPoint(15,15),FONT_HERSHEY_COMPLEX_SMALL, 0.8, cvScalar(0,0,255), 1, CV_AA);
res = true;
// A circle is contained inside the other.
}else if(distPcNc < abs(c2.getRadius() - mRadius)) {
if(enableDebug) putText(map, "A circle is contained whithin the other." , cvPoint(15,15),FONT_HERSHEY_COMPLEX_SMALL, 0.8, cvScalar(0,0,255), 1, CV_AA);
res = true;
}else {
surfaceCircle1 = M_PI * pow(mRadius,2);
surfaceCircle2 = M_PI * pow(c2.getRadius(),2);
float R0 = mRadius;
float R1 = c2.getRadius();
double x0 = mPos.x;
double y0 = mPos.y;
double x1 = c2.getCenter().x;
double y1 = c2.getCenter().y;
if(mPos.y != c2.getCenter().y) {
float N = (pow(R1,2) - pow(R0,2) - pow(x1,2) + pow(x0,2) - pow(y1,2) + pow(y0,2)) / (2 * (y0 - y1));
float A = pow((x0-x1)/(y0-y1),2) + 1;
float B = 2*y0*((x0-x1)/(y0-y1))-2*N*((x0-x1)/(y0-y1))-2*x0;
float C = pow(x0,2) + pow(y0,2) + pow(N,2) - pow(R0,2) - 2* y0*N;
double delta = std::sqrt(pow(B,2)-4*A*C);
//cout << delta << endl;
if(delta > 0) {
float resX1 = (-B-delta) / (2*A);
float resX2 = (-B+delta) / (2*A);
float resY1 = N - resX1 * ((x0-x1)/(y0-y1));
float resY2 = N - resX2 * ((x0-x1)/(y0-y1));
if(enableDebug) line(map, Point(resX1,resY1 ), Point(resX2,resY2 ), Scalar(255,255,255), 1, CV_AA);
// Circle1 more inside the other
if(distPcNc > abs(c2.getRadius() - mRadius) && distPcNc < c2.getRadius() && c2.getRadius() > mRadius) {
//cout << "one circle more inside the other" << endl;
// Cord length.
double c = sqrt(pow((resX1 - resX2),2) + pow((resY1 - resY2),2));
double cc = c/(2.0*R0);
if(cc>1.0) cc = 1.0;
double thetaCircle1 = 2.0* asin(cc);
double areaCircle1 = (pow(R0,2)/2) * (thetaCircle1 - sin(thetaCircle1));
double ccc = c/(2.0*R1);
if(ccc>1.0) ccc=1.0;
double thetaCircle2 = 2* asin(ccc);
double areaCircle2 = (pow(R1,2)/2) * (thetaCircle2 - sin(thetaCircle2));
intersectedSurface = surfaceCircle1 - areaCircle1 + areaCircle2;
displayIntersectedSurface = true;
// Circle2 more inside the other
}else if(distPcNc > abs(c2.getRadius() - mRadius )&& distPcNc < mRadius && mRadius > c2.getRadius()) {
//cout << "one circle more inside the other" << endl;
// Cord length.
double c = sqrt(pow((resX1 - resX2),2) + pow((resY1 - resY2),2));
double cc = c/(2.0*R0);
if(cc>1.0) cc = 1.0;
double thetaPosCircle = 2.0* asin(cc);
double areaPosCircle = (pow(R0,2)/2) * (thetaPosCircle - sin(thetaPosCircle));
double ccc = c/(2.0*R1);
if(ccc>1.0) ccc=1.0;
double thetaNegCircle = 2* asin(ccc);
double areaNegCircle = (pow(R1,2)/2) * (thetaNegCircle - sin(thetaNegCircle));
intersectedSurface = surfaceCircle2 - areaNegCircle + areaPosCircle;
displayIntersectedSurface = true;
}else if(distPcNc == c2.getRadius() || distPcNc == mRadius ) {
//cout << "Outskirt" << endl;
}else {
double c = sqrt(pow((resX1 - resX2),2) + pow((resY1 - resY2),2));
double cc = c/(2.0*R0);
if(cc>1.0) cc = 1.0;
double thetaPosCircle = 2.0* asin(cc);
double areaPosCircle = (pow(R0,2)/2) * (thetaPosCircle - sin(thetaPosCircle));
double ccc = c/(2.0*R1);
if(ccc>1.0) ccc=1.0;
double thetaNegCircle = 2* asin(ccc);
double areaNegCircle = (pow(R1,2)/2) * (thetaNegCircle - sin(thetaNegCircle));
intersectedSurface = areaNegCircle + areaPosCircle;
displayIntersectedSurface = true;
}
res = true;
}
}else {
float x = (pow(R1,2) - pow(R0,2) - pow(x1,2) + pow(x0,2))/(2*(x0-x1));
float A = 1.0;
float B = -2 * y1;
float C = pow(x1,2) + pow(x,2) - 2*x1*x + pow(y1,2) - pow(R1,2);
double delta = std::sqrt(pow(B,2)-4*A*C);
if(delta > 0) {
float resY1 = (-B-delta) / (2*A);
float resY2 = (-B+delta) / (2*A);
float resX1 = (pow(R1,2) - pow(R0,2) - pow(x1,2) + pow(x0,2) - pow(y1,2) + pow(y0,2))/(2*(x0-x1));
float resX2 = (pow(R1,2) - pow(R0,2) - pow(x1,2) + pow(x0,2) - pow(y1,2) + pow(y0,2))/(2*(x0-x1));
if(enableDebug) line(map, Point(resX1,resY1 ), Point(resX2,resY2 ), Scalar(255,255,255), 1, CV_AA);
// Circle neg more inside the other
if(distPcNc > abs(c2.getRadius() - mRadius) && distPcNc < c2.getRadius() && c2.getRadius() > mRadius) {
// Cord length.
double c = sqrt(pow((resX1 - resX2),2) + pow((resY1 - resY2),2));
double cc = c/(2.0*R0);
if(cc>1.0) cc = 1.0;
double thetaPosCircle = 2.0* asin(cc);
double areaPosCircle = (pow(R0,2)/2) * (thetaPosCircle - sin(thetaPosCircle));
double ccc = c/(2.0*R1);
if(ccc>1.0) ccc=1.0;
double thetaNegCircle = 2* asin(ccc);
double areaNegCircle = (pow(R1,2)/2) * (thetaNegCircle - sin(thetaNegCircle));
intersectedSurface = surfaceCircle1 - areaPosCircle + areaNegCircle;
displayIntersectedSurface = true;
// Circle pos more inside the other
}else if(distPcNc > abs(c2.getRadius() - mRadius )&& distPcNc < mRadius && mRadius > c2.getRadius()) {
// Cord length.
double c = sqrt(pow((resX1 - resX2),2) + pow((resY1 - resY2),2));
double cc = c/(2.0*R0);
if(cc>1.0) cc = 1.0;
double thetaPosCircle = 2.0* asin(cc);
double areaPosCircle = (pow(R0,2)/2) * (thetaPosCircle - sin(thetaPosCircle));
double ccc = c/(2.0*R1);
if(ccc>1.0) ccc=1.0;
double thetaNegCircle = 2* asin(ccc);
double areaNegCircle = (pow(R1,2)/2) * (thetaNegCircle - sin(thetaNegCircle));
intersectedSurface = surfaceCircle2 - areaNegCircle + areaPosCircle;
displayIntersectedSurface = true;
}else if(distPcNc == c2.getRadius() || distPcNc ==mRadius ) {
//cout << "Le centre d'un des cercles est sur la périphérie de l'autre" << endl;
}else {
double c = sqrt(pow((resX1 - resX2),2) + pow((resY1 - resY2),2));
double cc = c/(2.0*R0);
if(cc>1.0) cc = 1.0;
double thetaPosCircle = 2.0* asin(cc);
double areaPosCircle = (pow(R0,2)/2) * (thetaPosCircle - sin(thetaPosCircle));
double ccc = c/(2.0*R1);
if(ccc>1.0) ccc=1.0;
double thetaNegCircle = 2* asin(ccc);
double areaNegCircle = (pow(R1,2)/2) * (thetaNegCircle - sin(thetaNegCircle));
intersectedSurface = areaNegCircle + areaPosCircle;
displayIntersectedSurface = true;
}
res = true;
}
}
}
if(enableDebug && displayIntersectedSurface) {
putText(map, "Intersected surface : " , cvPoint(15,15),FONT_HERSHEY_COMPLEX_SMALL, 0.8, cvScalar(0,0,255), 1, CV_AA);
string msg1 = "- Green circle : " + Conversion::floatToString((intersectedSurface * 100) / surfaceCircle1) + "%" ;
putText(map, msg1 , cvPoint(15,30),FONT_HERSHEY_COMPLEX_SMALL, 0.8, cvScalar(0,0,255), 1, CV_AA);
string msg2 = "- Red circle : " + Conversion::floatToString((intersectedSurface * 100) / surfaceCircle2)+ "%";
putText(map, msg2 , cvPoint(15,45),FONT_HERSHEY_COMPLEX_SMALL, 0.8, cvScalar(0,0,255), 1, CV_AA);
}
if(enableDebug) SaveImg::saveBMP(map, debugPath);
return res;
}
};