DGtal  0.9.2
SphericalAccumulator.ih
1 /**
2  * This program is free software: you can redistribute it and/or modify
3  * it under the terms of the GNU Lesser General Public License as
4  * published by the Free Software Foundation, either version 3 of the
5  * License, or (at your option) any later version.
6  *
7  * This program is distributed in the hope that it will be useful,
8  * but WITHOUT ANY WARRANTY; without even the implied warranty of
9  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
10  * GNU General Public License for more details.
11  *
12  * You should have received a copy of the GNU General Public License
13  * along with this program. If not, see <http://www.gnu.org/licenses/>.
14  *
15  **/
16 
17 /**
18  * @file SphericalAccumulator.ih
19  * @author David Coeurjolly (\c david.coeurjolly@liris.cnrs.fr )
20  * Laboratoire d'InfoRmatique en Image et Systèmes d'information - LIRIS (CNRS, UMR 5205), CNRS, France
21  *
22  * @date 2012/09/17
23  *
24  * Implementation of inline methods defined in SphericalAccumulator.h
25  *
26  * This file is part of the DGtal library.
27  */
28 
29 
30 //////////////////////////////////////////////////////////////////////////////
31 #include <cstdlib>
32 //////////////////////////////////////////////////////////////////////////////
33 
34 ///////////////////////////////////////////////////////////////////////////////
35 // IMPLEMENTATION of inline methods.
36 ///////////////////////////////////////////////////////////////////////////////
37 
38 ///////////////////////////////////////////////////////////////////////////////
39 // ----------------------- Standard services ------------------------------
40 
41 /**
42  * Constructor.
43  */
44 template <typename T>
45 inline
46 DGtal::SphericalAccumulator<T>::SphericalAccumulator(const Size aP)
47 {
48  myTotal = 0;
49  myNphi = aP;
50  myNtheta = 2*myNphi;
51  myAccumulator.resize(myNphi*myNtheta,0);
52  myAccumulatorDir.resize(myNphi*myNtheta, Vector::zero);
53  myBinNumber = 0;
54 
55  myMaxBinTheta = 0;
56  myMaxBinPhi= 0;
57 
58 
59  for(Size posPhi=0; posPhi < myNphi; posPhi++)
60  for(Size posTheta=0; posTheta < myNtheta; posTheta++)
61  {
62  double dphi = M_PI/((double)myNphi-1);
63  double Ntheta_i = floor(2.0*((double)myNphi)*sin((double)posPhi*dphi)) ;
64 
65  if (((posPhi == 0) || (posPhi == (myNphi-1))) && (posTheta==0))
66  myBinNumber++;
67  else
68  if ((posPhi < myNphi) && (posTheta<Ntheta_i) && (posTheta< myNtheta))
69  myBinNumber ++;
70  }
71 }
72 /**
73  * Destructor.
74  */
75 template <typename T>
76 inline
77 DGtal::SphericalAccumulator<T>::~SphericalAccumulator()
78 {
79 }
80 // --------------------------------------------------------
81 template <typename T>
82 inline
83 void DGtal::SphericalAccumulator<T>::binCoordinates(const Vector &aDir,
84  Size &posPhi,
85  Size &posTheta) const
86 {
87  double theta,phi, theta2;
88  double norm = aDir.norm();
89 
90  ASSERT(norm != 0);
91 
92  phi = acos(NumberTraits<typename T::Component>::castToDouble(aDir[2])/norm);
93 
94  double dphi = M_PI/(double)(myNphi-1);
95  double Nthetai;
96  posPhi = static_cast<Size>(floor( (phi+dphi/2.) *(myNphi-1)/ M_PI));
97  if(posPhi == 0 || posPhi== (myNphi-1))
98  {
99  posTheta =0;
100  }
101  else
102  {
103  theta2=atan2(NumberTraits<typename T::Component>::castToDouble(aDir[1]),
104  NumberTraits<typename T::Component>::castToDouble(aDir[0]));
105 
106  if(theta2<0)
107  theta = theta2 + 2.0*M_PI;
108  else
109  theta = theta2;
110  Nthetai = floor(2.0*(myNphi)*sin(posPhi*dphi));
111  double dtheta = 2.0*M_PI/(Nthetai);
112  posTheta = static_cast<Size>(floor( (theta+dtheta/2.0)/dtheta));
113 
114  if (posTheta >= Nthetai)
115  posTheta -= Nthetai;
116  }
117 
118  ASSERT(posPhi < myNphi);
119  ASSERT( isValidBin(posPhi,posTheta) );
120 }
121 // --------------------------------------------------------
122 template <typename T>
123 inline
124 void DGtal::SphericalAccumulator<T>::addDirection(const Vector &aDir)
125 {
126  Size posPhi,posTheta;
127 
128  binCoordinates(aDir , posPhi, posTheta);
129  myAccumulator[posTheta + posPhi*myNtheta] += 1;
130  myAccumulatorDir[posTheta + posPhi*myNtheta] += aDir;
131  myTotal ++;
132 
133  //Max bin update
134  if ( myAccumulator[posTheta + posPhi*myNtheta] >
135  myAccumulator[ myMaxBinTheta + myMaxBinPhi*myNtheta])
136  {
137  myMaxBinTheta = posTheta;
138  myMaxBinPhi = posPhi;
139  }
140 }
141 // --------------------------------------------------------
142 template <typename T>
143 inline
144 typename DGtal::SphericalAccumulator<T>::Quantity
145 DGtal::SphericalAccumulator<T>::samples() const
146 {
147  return myTotal;
148 }
149 // --------------------------------------------------------
150 template <typename T>
151 inline
152 void
153 DGtal::SphericalAccumulator<T>::maxCountBin(Size &phi, Size &theta) const
154 {
155  phi = myMaxBinPhi;
156  theta = myMaxBinTheta;
157 }
158 // --------------------------------------------------------
159 template <typename T>
160 inline
161 typename DGtal::SphericalAccumulator<T>::Quantity
162 DGtal::SphericalAccumulator<T>::count(const Size &posPhi,
163  const Size &posTheta) const
164 {
165  ASSERT( isValidBin(posPhi,posTheta) );
166  return myAccumulator[posTheta + posPhi*myNtheta];
167 }
168 // --------------------------------------------------------
169 template <typename T>
170 inline
171 T
172 DGtal::SphericalAccumulator<T>::representativeDirection(const Size &posPhi,
173  const Size &posTheta) const
174 {
175  ASSERT( isValidBin(posPhi,posTheta) );
176  Vector p=myAccumulatorDir[posTheta + posPhi*myNtheta] ;
177  return p;
178 }
179 // --------------------------------------------------------
180 template <typename T>
181 inline
182 T
183 DGtal::SphericalAccumulator<T>::representativeDirection(ConstIterator &it) const
184 {
185  Size dist = it - myAccumulator.begin();
186  Vector p = *(myAccumulatorDir.begin() + dist);
187  return p;
188 }
189 // --------------------------------------------------------
190 // --------------------------------------------------------
191 template <typename T>
192 inline
193 void
194 DGtal::SphericalAccumulator<T>::binCoordinates(ConstIterator &it,
195  Size &posPhi,
196  Size &posTheta) const
197 {
198  Size dist = it - myAccumulator.begin();
199  posPhi = dist/ myNtheta;
200  posTheta = dist % myNtheta;
201 }
202 // --------------------------------------------------------
203 template <typename T>
204 inline
205 bool
206 DGtal::SphericalAccumulator<T>::isValidBin(const Size &posPhi,
207  const Size &posTheta) const
208 {
209  ASSERT( myNphi != 1 );
210  double dphi = M_PI/((double)myNphi-1.0);
211  double Ntheta_i = floor(2.0*((double)myNphi)*sin((double)posPhi*dphi));
212 
213  if ((posPhi == 0) || (posPhi == (myNphi-1)))
214  return (posTheta==0);
215  else
216  return (posPhi < myNphi) && (posTheta<Ntheta_i) && (posTheta< myNtheta);
217 }
218 // --------------------------------------------------------
219 template <typename T>
220 inline
221 void
222 DGtal::SphericalAccumulator<T>::getBinGeometry(const Size &posPhi,
223  const Size &posTheta,
224  RealVector &a,
225  RealVector &b,
226  RealVector &c,
227  RealVector &d) const
228 {
229  ASSERT( isValidBin(posPhi,posTheta) );
230  double dphi = M_PI/(double)((double)myNphi-1);
231  double phi= (double)posPhi*dphi;
232  double dtheta;
233  double Nthetai = floor(2.0*(myNphi)*sin(phi) );
234  double theta = 0.0;
235 
236  if ((posPhi == 0) ||(posPhi == (myNphi-1)))
237  {
238  a[0]=cos(theta-dphi/2.0)*sin(phi -dphi/2.0);
239  a[1]=sin(theta-dphi/2.0)*sin(phi -dphi/2.0);
240  a[2]=cos(phi -dphi/2.0);
241 
242  b[0]=cos(theta+dphi/2.0)*sin(phi -dphi/2.0);
243  b[1]=sin(theta+dphi/2.0)*sin(phi -dphi/2.0);
244  b[2]=cos(phi -dphi/2.0);
245 
246  c[0]=cos(theta-dphi/2.0)*sin(phi+dphi/2.0);
247  c[1]=sin(theta-dphi/2.0)*sin(phi+dphi/2.0);
248  c[2]=cos(phi+dphi/2.0);
249 
250  d[0]=cos(theta+dphi/2.0)*sin(phi+dphi/2.0);
251  d[1]=sin(theta+dphi/2.0)*sin(phi+dphi/2.0);
252  d[2]=cos(phi+dphi/2.0);
253  }
254 
255  else
256  {
257  dtheta = 2.0*M_PI/(Nthetai);
258  theta=posTheta*dtheta;
259 
260  a[0]=cos(theta-dtheta/2.0)*sin(phi -dphi/2.0);
261  a[1]=sin(theta-dtheta/2.0)*sin(phi -dphi/2.0);
262  a[2]=cos(phi -dphi/2.0);
263 
264 
265  if ((double)posTheta -1 >= Nthetai)
266  {
267  b[0]=cos(-dtheta/2.0)*sin(phi -dphi/2.0);
268  b[1]=sin(-dtheta/2.0)*sin(phi -dphi/2.0);
269  b[2]=cos(phi -dphi/2.0);
270 
271  c[0]=cos(- dtheta/2.0)*sin(phi+dphi/2.0);
272  c[1]=sin( - dtheta/2.0)*sin(phi+dphi/2.0);
273  c[2]=cos(phi+dphi/2.0);
274  }
275  else
276  {
277  b[0]=cos(theta+dtheta/2.0)*sin(phi -dphi/2.0);
278  b[1]=sin(theta+dtheta/2.0)*sin(phi -dphi/2.0);
279  b[2]=cos(phi -dphi/2.0);
280 
281  c[0]=cos(theta+dtheta/2.0)*sin(phi+dphi/2.0);
282  c[1]=sin(theta+dtheta/2.0)*sin(phi+dphi/2.0);
283  c[2]=cos(phi+dphi/2.0);
284  }
285 
286  d[0]=cos(theta-dtheta/2.0)*sin(phi+dphi/2.0);
287  d[1]=sin(theta-dtheta/2.0)*sin(phi+dphi/2.0);
288  d[2]=cos(phi+dphi/2.0);
289  }
290 }
291 // --------------------------------------------------------
292 template <typename T>
293 inline
294 typename DGtal::SphericalAccumulator<T>::RealVector
295 DGtal::SphericalAccumulator<T>::getBinDirection(const Size &posPhi,
296  const Size &posTheta) const
297 {
298  ASSERT( isValidBin(posPhi,posTheta) );
299  double dphi = M_PI/(double)((double)myNphi-1);
300  double phi= (double)posPhi*dphi;
301  double Nthetai = floor(2.0*(myNphi)*sin(phi) );
302  RealVector midpoint;
303  double theta;
304 
305  if ((posPhi == 0) || (posPhi == (myNphi-1)))
306  theta = 0;
307  else
308  theta=posTheta*2.0*M_PI/(Nthetai);
309 
310  midpoint[0]=cos(theta)*sin(phi);
311  midpoint[1]=sin(theta)*sin(phi);
312  midpoint[2]=cos(phi);
313 
314  return midpoint;
315 }
316 // --------------------------------------------------------
317 template <typename T>
318 inline
319 void
320 DGtal::SphericalAccumulator<T>::clear()
321 {
322  myTotal = 0;
323  for(Size i=0; i < myNphi; i++)
324  for(Size j=0; j < myNtheta; j++)
325  if (isValidBin(i,j))
326  myAccumulator[j + i*myNtheta]=0;
327  else
328  myAccumulator[j+ i*myNtheta]=-1;
329 
330  std::fill(myAccumulatorDir.begin(), myAccumulatorDir.end(), Vector::zero);
331 }
332 
333 
334 ///////////////////////////////////////////////////////////////////////////////
335 // Interface - public :
336 
337 /**
338  * Writes/Displays the object on an output stream.
339  * @param out the output stream where the object is written.
340  */
341 template <typename T>
342 inline
343 void
344 DGtal::SphericalAccumulator<T>::selfDisplay ( std::ostream & out ) const
345 {
346  out << "[SphericalAccumulator] Nphi="<<myNphi<<" Ntheta=" <<myNtheta
347  <<" Number of samples="<<myTotal
348  <<" Number of bins="<<myBinNumber;
349 }
350 
351 /**
352  * Checks the validity/consistency of the object.
353  * @return 'true' if the object is valid, 'false' otherwise.
354  */
355 template <typename T>
356 inline
357 bool
358 DGtal::SphericalAccumulator<T>::isValid() const
359 {
360  return true;
361 }
362 
363 
364 
365 ///////////////////////////////////////////////////////////////////////////////
366 // Implementation of inline functions //
367 
368 template <typename T>
369 inline
370 std::ostream&
371 DGtal::operator<< ( std::ostream & out,
372  const SphericalAccumulator<T> & object )
373 {
374  object.selfDisplay( out );
375  return out;
376 }
377 
378 // //
379 ///////////////////////////////////////////////////////////////////////////////
380 
381