Point Cloud Library (PCL)  1.11.1-dev
transformation_estimation_dual_quaternion.hpp
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39 
40 #ifndef PCL_REGISTRATION_TRANSFORMATION_ESTIMATION_DQ_HPP_
41 #define PCL_REGISTRATION_TRANSFORMATION_ESTIMATION_DQ_HPP_
42 
43 #include <pcl/common/eigen.h>
44 
45 #include <Eigen/Eigenvalues> // for EigenSolver
46 
47 namespace pcl {
48 
49 namespace registration {
50 
51 template <typename PointSource, typename PointTarget, typename Scalar>
52 inline void
55  const pcl::PointCloud<PointTarget>& cloud_tgt,
56  Matrix4& transformation_matrix) const
57 {
58  const auto nr_points = cloud_src.size();
59  if (cloud_tgt.size() != nr_points) {
60  PCL_ERROR(
61  "[pcl::TransformationEstimationDualQuaternion::estimateRigidTransformation] "
62  "Number or points in source (%zu) differs than target (%zu)!\n",
63  static_cast<std::size_t>(nr_points),
64  static_cast<std::size_t>(cloud_tgt.size()));
65  return;
66  }
67 
68  ConstCloudIterator<PointSource> source_it(cloud_src);
69  ConstCloudIterator<PointTarget> target_it(cloud_tgt);
70  estimateRigidTransformation(source_it, target_it, transformation_matrix);
71 }
72 
73 template <typename PointSource, typename PointTarget, typename Scalar>
74 void
77  const std::vector<int>& indices_src,
78  const pcl::PointCloud<PointTarget>& cloud_tgt,
79  Matrix4& transformation_matrix) const
80 {
81  if (indices_src.size() != cloud_tgt.size()) {
82  PCL_ERROR("[pcl::TransformationDQ::estimateRigidTransformation] Number or points "
83  "in source (%zu) differs than target (%zu)!\n",
84  indices_src.size(),
85  static_cast<std::size_t>(cloud_tgt.size()));
86  return;
87  }
88 
89  ConstCloudIterator<PointSource> source_it(cloud_src, indices_src);
90  ConstCloudIterator<PointTarget> target_it(cloud_tgt);
91  estimateRigidTransformation(source_it, target_it, transformation_matrix);
92 }
93 
94 template <typename PointSource, typename PointTarget, typename Scalar>
95 inline void
98  const std::vector<int>& indices_src,
99  const pcl::PointCloud<PointTarget>& cloud_tgt,
100  const std::vector<int>& indices_tgt,
101  Matrix4& transformation_matrix) const
102 {
103  if (indices_src.size() != indices_tgt.size()) {
104  PCL_ERROR(
105  "[pcl::TransformationEstimationDualQuaternion::estimateRigidTransformation] "
106  "Number or points in source (%lu) differs than target (%lu)!\n",
107  indices_src.size(),
108  indices_tgt.size());
109  return;
110  }
111 
112  ConstCloudIterator<PointSource> source_it(cloud_src, indices_src);
113  ConstCloudIterator<PointTarget> target_it(cloud_tgt, indices_tgt);
114  estimateRigidTransformation(source_it, target_it, transformation_matrix);
115 }
116 
117 template <typename PointSource, typename PointTarget, typename Scalar>
118 void
121  const pcl::PointCloud<PointTarget>& cloud_tgt,
122  const pcl::Correspondences& correspondences,
123  Matrix4& transformation_matrix) const
124 {
125  ConstCloudIterator<PointSource> source_it(cloud_src, correspondences, true);
126  ConstCloudIterator<PointTarget> target_it(cloud_tgt, correspondences, false);
127  estimateRigidTransformation(source_it, target_it, transformation_matrix);
128 }
129 
130 template <typename PointSource, typename PointTarget, typename Scalar>
131 inline void
135  Matrix4& transformation_matrix) const
136 {
137  const int npts = static_cast<int>(source_it.size());
138 
139  transformation_matrix.setIdentity();
140 
141  // dual quaternion optimization
142  Eigen::Matrix<double, 4, 4> C1 = Eigen::Matrix<double, 4, 4>::Zero();
143  Eigen::Matrix<double, 4, 4> C2 = Eigen::Matrix<double, 4, 4>::Zero();
144  double* c1 = C1.data();
145  double* c2 = C2.data();
146 
147  for (int i = 0; i < npts; ++i) {
148  const PointSource& a = *source_it;
149  const PointTarget& b = *target_it;
150  const double axbx = a.x * b.x;
151  const double ayby = a.y * b.y;
152  const double azbz = a.z * b.z;
153  const double axby = a.x * b.y;
154  const double aybx = a.y * b.x;
155  const double axbz = a.x * b.z;
156  const double azbx = a.z * b.x;
157  const double aybz = a.y * b.z;
158  const double azby = a.z * b.y;
159  c1[0] += axbx - azbz - ayby;
160  c1[5] += ayby - azbz - axbx;
161  c1[10] += azbz - axbx - ayby;
162  c1[15] += axbx + ayby + azbz;
163  c1[1] += axby + aybx;
164  c1[2] += axbz + azbx;
165  c1[3] += aybz - azby;
166  c1[6] += azby + aybz;
167  c1[7] += azbx - axbz;
168  c1[11] += axby - aybx;
169 
170  c2[1] += a.z + b.z;
171  c2[2] -= a.y + b.y;
172  c2[3] += a.x - b.x;
173  c2[6] += a.x + b.x;
174  c2[7] += a.y - b.y;
175  c2[11] += a.z - b.z;
176  source_it++;
177  target_it++;
178  }
179 
180  c1[4] = c1[1];
181  c1[8] = c1[2];
182  c1[9] = c1[6];
183  c1[12] = c1[3];
184  c1[13] = c1[7];
185  c1[14] = c1[11];
186  c2[4] = -c2[1];
187  c2[8] = -c2[2];
188  c2[12] = -c2[3];
189  c2[9] = -c2[6];
190  c2[13] = -c2[7];
191  c2[14] = -c2[11];
192 
193  C1 *= -2.0;
194  C2 *= 2.0;
195 
196  const Eigen::Matrix<double, 4, 4> A =
197  (0.25 / double(npts)) * C2.transpose() * C2 - C1;
198 
199  const Eigen::EigenSolver<Eigen::Matrix<double, 4, 4>> es(A);
200 
201  ptrdiff_t i;
202  es.eigenvalues().real().maxCoeff(&i);
203  const Eigen::Matrix<double, 4, 1> qmat = es.eigenvectors().col(i).real();
204  const Eigen::Matrix<double, 4, 1> smat = -(0.5 / double(npts)) * C2 * qmat;
205 
206  const Eigen::Quaternion<double> q(qmat(3), qmat(0), qmat(1), qmat(2));
207  const Eigen::Quaternion<double> s(smat(3), smat(0), smat(1), smat(2));
208 
209  const Eigen::Quaternion<double> t = s * q.conjugate();
210 
211  const Eigen::Matrix<double, 3, 3> R(q.toRotationMatrix());
212 
213  for (int i = 0; i < 3; ++i)
214  for (int j = 0; j < 3; ++j)
215  transformation_matrix(i, j) = R(i, j);
216 
217  transformation_matrix(0, 3) = -t.x();
218  transformation_matrix(1, 3) = -t.y();
219  transformation_matrix(2, 3) = -t.z();
220 }
221 
222 } // namespace registration
223 } // namespace pcl
224 
225 #endif /* PCL_REGISTRATION_TRANSFORMATION_ESTIMATION_DQ_HPP_ */
pcl
Definition: convolution.h:46
pcl::registration::TransformationEstimationDualQuaternion::Matrix4
typename TransformationEstimation< PointSource, PointTarget, Scalar >::Matrix4 Matrix4
Definition: transformation_estimation_dual_quaternion.h:65
pcl::registration::TransformationEstimationDualQuaternion::estimateRigidTransformation
void estimateRigidTransformation(const pcl::PointCloud< PointSource > &cloud_src, const pcl::PointCloud< PointTarget > &cloud_tgt, Matrix4 &transformation_matrix) const override
Estimate a rigid rotation transformation between a source and a target point cloud using dual quatern...
Definition: transformation_estimation_dual_quaternion.hpp:54
pcl::PointCloud< PointSource >
pcl::ConstCloudIterator::size
std::size_t size() const
Size of the range the iterator is going through.
Definition: cloud_iterator.hpp:537
pcl::PointCloud::size
std::size_t size() const
Definition: point_cloud.h:437
pcl::ConstCloudIterator
Iterator class for point clouds with or without given indices.
Definition: cloud_iterator.h:120
pcl::Correspondences
std::vector< pcl::Correspondence, Eigen::aligned_allocator< pcl::Correspondence > > Correspondences
Definition: correspondence.h:89