Visual Servoing Platform  version 3.3.1 under development (2020-12-02)
vpLine.cpp
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30  *
31  * Description:
32  * Line feature.
33  *
34  * Authors:
35  * Eric Marchand
36  *
37  *****************************************************************************/
38 
39 #include <visp3/core/vpLine.h>
40 
41 #include <visp3/core/vpDebug.h>
42 #include <visp3/core/vpMath.h>
43 
44 #include <visp3/core/vpFeatureDisplay.h>
45 
58 {
59  oP.resize(8);
60  cP.resize(8);
61  p.resize(2);
62 }
63 
68 
85 void vpLine::setWorldCoordinates(const double &oA1, const double &oB1, const double &oC1, const double &oD1,
86  const double &oA2, const double &oB2, const double &oC2, const double &oD2)
87 {
88  oP[0] = oA1;
89  oP[1] = oB1;
90  oP[2] = oC1;
91  oP[3] = oD1;
92 
93  oP[4] = oA2;
94  oP[5] = oB2;
95  oP[6] = oC2;
96  oP[7] = oD2;
97 }
98 
118 {
119  if (oP_.getRows() != 8)
120  throw vpException(vpException::dimensionError, "Size of oP is not equal to 8 as it should be");
121 
122  this->oP = oP_;
123 }
124 
147 {
148  if (oP1.getRows() != 4)
149  throw vpException(vpException::dimensionError, "Size of oP1 is not equal to 4 as it should be");
150 
151  if (oP2.getRows() != 4)
152  throw vpException(vpException::dimensionError, "Size of oP2 is not equal to 4 as it should be");
153 
154  for (unsigned int i = 0; i < 4; i++) {
155  oP[i] = oP1[i];
156  oP[i + 4] = oP2[i];
157  }
158 }
159 
194 {
195  projection(cP, p);
196 }
197 
216 void vpLine::projection(const vpColVector &cP_, vpColVector &p_) const
217 {
218  p_.resize(2, false);
219  // projection
220 
221  if (cP.getRows() != 8)
222  throw vpException(vpException::dimensionError, "Size of cP is not equal to 8 as it should be");
223 
224  double A1, A2, B1, B2, C1, C2, D1, D2;
225 
226  A1 = cP_[0];
227  B1 = cP_[1];
228  C1 = cP_[2];
229  D1 = cP_[3];
230 
231  A2 = cP_[4];
232  B2 = cP_[5];
233  C2 = cP_[6];
234  D2 = cP_[7];
235 
236  double a, b, c, s;
237  a = A2 * D1 - A1 * D2;
238  b = B2 * D1 - B1 * D2;
239  c = C2 * D1 - C1 * D2;
240  s = a * a + b * b;
241  if (s <= 1e-8) // seuil pas terrible
242  {
243  printf("Degenerate case: the image of the straight line is a point!\n");
244  throw vpException(vpException::fatalError, "Degenerate case: the image of the straight line is a point!");
245  }
246  s = 1.0 / sqrt(s);
247 
248  double rho = -c * s;
249  double theta = atan2(b, a);
250 
251  p_[0] = rho;
252  p_[1] = theta;
253 }
254 
292 
334 {
335  cP_.resize(8, false);
336 
337  double a1, a2, b1, b2, c1, c2, d1, d2;
338  double A1, A2, B1, B2, C1, C2, D1, D2;
339 
340  // in case of verification
341  // double x,y,z,ap1,ap2,bp1,bp2,cp1,cp2,dp1,dp2;
342 
343  a1 = oP[0];
344  b1 = oP[1];
345  c1 = oP[2];
346  d1 = oP[3];
347 
348  a2 = oP[4];
349  b2 = oP[5];
350  c2 = oP[6];
351  d2 = oP[7];
352 
353  A1 = cMo[0][0] * a1 + cMo[0][1] * b1 + cMo[0][2] * c1;
354  B1 = cMo[1][0] * a1 + cMo[1][1] * b1 + cMo[1][2] * c1;
355  C1 = cMo[2][0] * a1 + cMo[2][1] * b1 + cMo[2][2] * c1;
356  D1 = d1 - (cMo[0][3] * A1 + cMo[1][3] * B1 + cMo[2][3] * C1);
357 
358  A2 = cMo[0][0] * a2 + cMo[0][1] * b2 + cMo[0][2] * c2;
359  B2 = cMo[1][0] * a2 + cMo[1][1] * b2 + cMo[1][2] * c2;
360  C2 = cMo[2][0] * a2 + cMo[2][1] * b2 + cMo[2][2] * c2;
361  D2 = d2 - (cMo[0][3] * A2 + cMo[1][3] * B2 + cMo[2][3] * C2);
362 
363  // in case of verification
364  // ap1 = A1; bp1 = B1; cp1 = C1; dp1 = D1;
365  // ap2 = A2; bp2 = B2; cp2 = C2; dp2 = D2;
366 
367  // vpERROR_TRACE("A1 B1 C1 D1 %f %f %f %f ", A1, B1, C1, D1) ;
368  // vpERROR_TRACE("A2 B2 C2 D2 %f %f %f %f ", A2, B2, C2, D2) ;
369 
370  // Adding constraints on the straight line to have a unique representation
371 
372  // direction of the straight line = N1 x N2
373  a2 = B1 * C2 - C1 * B2;
374  b2 = C1 * A2 - A1 * C2;
375  c2 = A1 * B2 - B1 * A2;
376 
377  // Constraint D1 = 0 (the origin belongs to P1)
378  a1 = A2 * D1 - A1 * D2;
379  b1 = B2 * D1 - B1 * D2;
380  c1 = C2 * D1 - C1 * D2;
381 
382  if (fabs(D2) < fabs(D1)) // to be sure that D2 <> 0
383  {
384  A2 = A1;
385  B2 = B1;
386  C2 = C1;
387  D2 = D1;
388  }
389 
390  // Constraint A1^2 + B1^2 + C1^2 = 1
391  d1 = 1.0 / sqrt(a1 * a1 + b1 * b1 + c1 * c1);
392  cP_[0] = A1 = a1 * d1;
393  cP_[1] = B1 = b1 * d1;
394  cP_[2] = C1 = c1 * d1;
395  cP_[3] = 0;
396 
397  // Constraint A1 A2 + B1 B2 + C1 C2 = 0 (P2 orthogonal to P1)
398  // N2_new = (N1 x N2) x N1_new
399  a1 = b2 * C1 - c2 * B1;
400  b1 = c2 * A1 - a2 * C1;
401  c1 = a2 * B1 - b2 * A1;
402 
403  // Constraint A2^2 + B2^2 + C2^2 = 1
404  d1 = 1.0 / sqrt(a1 * a1 + b1 * b1 + c1 * c1);
405  a1 *= d1;
406  b1 *= d1;
407  c1 *= d1;
408 
409  // D2_new = D2 / (N2^T . N2_new)
410  D2 /= (A2 * a1 + B2 * b1 + C2 * c1);
411  A2 = a1;
412  B2 = b1;
413  C2 = c1;
414 
415  // Constraint D2 < 0
416  if (D2 > 0) {
417  A2 = -A2;
418  B2 = -B2;
419  C2 = -C2;
420  D2 = -D2;
421  }
422  // vpERROR_TRACE("A1 B1 C1 D1 %f %f %f %f ", A1, B1, C1, D1) ;
423  // vpERROR_TRACE("A2 B2 C2 D2 %f %f %f %f ", A2, B2, C2, D2) ;
424 
425  cP_[4] = A2;
426  cP_[5] = B2;
427  cP_[6] = C2;
428  cP_[7] = D2;
429 
430  // in case of verification
431  /*
432  x = -A2*D2;
433  y = -B2*D2;
434  z = -C2*D2;
435  d1 = ap1*x+bp1*y+cp1*z+dp1;
436  d2 = ap2*x+bp2*y+cp2*z+dp2;
437  if ((fabs(d1) > 1e-8) || (fabs(d2) > 1e-8))
438  {
439  printf("PB in VPline: P1 : 0 = %lf, P2: 0 = %lf\n",d1,d2);
440  exit(-1);
441  }
442  d1 = A1*x+B1*y+C1*z+D1;
443  d2 = A2*x+B2*y+C2*z+D2;
444  if ((fabs(d1) > 1e-8) || (fabs(d2) > 1e-8))
445  {
446  printf("PB in VPline: Pn1 : 0 = %lf, Pn2: 0 = %lf\n",d1,d2);
447  exit(-1);
448  }
449  */
450 }
451 
468 void vpLine::display(const vpImage<unsigned char> &I, const vpCameraParameters &cam, const vpColor &color,
469  unsigned int thickness)
470 {
471  vpFeatureDisplay::displayLine(p[0], p[1], cam, I, color, thickness);
472 }
473 
497  const vpColor &color, unsigned int thickness)
498 {
499  vpColVector _cP, _p;
500  changeFrame(cMo, _cP);
501  try {
502  projection(_cP, _p);
503  vpFeatureDisplay::displayLine(_p[0], _p[1], cam, I, color, thickness);
504  }
505  catch(...) {
506  // Skip potential exception: due to a degenerate case: the image of the straight line is a point!
507  }
508 }
509 
521 {
522  vpLine *feature = new vpLine(*this);
523  return feature;
524 }
void init()
Definition: vpLine.cpp:57
void changeFrame(const vpHomogeneousMatrix &cMo, vpColVector &cP) const
Definition: vpLine.cpp:333
Implementation of an homogeneous matrix and operations on such kind of matrices.
Class to define RGB colors available for display functionnalities.
Definition: vpColor.h:157
vpLine * duplicate() const
Definition: vpLine.cpp:520
error that can be emited by ViSP classes.
Definition: vpException.h:71
unsigned int getRows() const
Definition: vpArray2D.h:289
vpColVector cP
Definition: vpTracker.h:77
Class that defines a 3D line in the object frame and allows forward projection of the line in the cam...
Definition: vpLine.h:104
void setWorldCoordinates(const double &oA1, const double &oB1, const double &oC1, const double &oD1, const double &oA2, const double &oB2, const double &oC2, const double &oD2)
Definition: vpLine.cpp:85
Generic class defining intrinsic camera parameters.
vpLine()
Definition: vpLine.cpp:67
void projection()
Definition: vpLine.cpp:193
void resize(unsigned int i, bool flagNullify=true)
Definition: vpColVector.h:310
Implementation of column vector and the associated operations.
Definition: vpColVector.h:130
static void displayLine(double rho, double theta, const vpCameraParameters &cam, const vpImage< unsigned char > &I, const vpColor &color=vpColor::green, unsigned int thickness=1)
void display(const vpImage< unsigned char > &I, const vpCameraParameters &cam, const vpColor &color=vpColor::green, unsigned int thickness=1)
Definition: vpLine.cpp:468
vpColVector p
Definition: vpTracker.h:73