41 #ifndef PCL_SAMPLE_CONSENSUS_IMPL_SAC_MODEL_CYLINDER_H_
42 #define PCL_SAMPLE_CONSENSUS_IMPL_SAC_MODEL_CYLINDER_H_
44 #include <pcl/sample_consensus/sac_model_cylinder.h>
46 #include <pcl/common/concatenate.h>
49 template <
typename Po
intT,
typename Po
intNT>
bool
52 if (samples.size () != sample_size_)
54 PCL_ERROR (
"[pcl::SampleConsensusModelCylinder::isSampleGood] Wrong number of samples (is %lu, should be %lu)!\n", samples.size (), sample_size_);
60 std::abs ((*input_)[samples[0]].x - (*input_)[samples[1]].x) <= std::numeric_limits<float>::epsilon ()
62 std::abs ((*input_)[samples[0]].y - (*input_)[samples[1]].y) <= std::numeric_limits<float>::epsilon ()
64 std::abs ((*input_)[samples[0]].z - (*input_)[samples[1]].z) <= std::numeric_limits<float>::epsilon ())
66 PCL_ERROR (
"[pcl::SampleConsensusModelCylinder::isSampleGood] The two sample points are (almost) identical!\n");
74 template <
typename Po
intT,
typename Po
intNT>
bool
76 const Indices &samples, Eigen::VectorXf &model_coefficients)
const
79 if (!isSampleGood (samples))
81 PCL_ERROR (
"[pcl::SampleConsensusModelCylinder::computeModelCoefficients] Invalid set of samples given!\n");
87 PCL_ERROR (
"[pcl::SampleConsensusModelCylinder::computeModelCoefficients] No input dataset containing normals was given! Use setInputNormals\n");
91 Eigen::Vector4f p1 ((*input_)[samples[0]].x, (*input_)[samples[0]].y, (*input_)[samples[0]].z, 0.0f);
92 Eigen::Vector4f p2 ((*input_)[samples[1]].x, (*input_)[samples[1]].y, (*input_)[samples[1]].z, 0.0f);
94 Eigen::Vector4f n1 ((*normals_)[samples[0]].normal[0], (*normals_)[samples[0]].normal[1], (*normals_)[samples[0]].normal[2], 0.0f);
95 Eigen::Vector4f n2 ((*normals_)[samples[1]].normal[0], (*normals_)[samples[1]].normal[1], (*normals_)[samples[1]].normal[2], 0.0f);
96 Eigen::Vector4f w = n1 + p1 - p2;
97 Eigen::Vector4f line_dir = n1.cross3 (n2);
99 float b = n1.dot (n2);
100 float c = n2.dot (n2);
101 float d = n1.dot (w);
102 float e = n2.dot (w);
103 float denominator = line_dir.squaredNorm ();
106 if (denominator < 1e-8)
112 sc = (b*e - c*d) / denominator;
116 Eigen::Vector4f line_pt = p1 + n1 + sc * n1;
117 line_dir.normalize ();
119 model_coefficients.resize (model_size_);
121 model_coefficients[0] = line_pt[0];
122 model_coefficients[1] = line_pt[1];
123 model_coefficients[2] = line_pt[2];
125 model_coefficients[3] = line_dir[0];
126 model_coefficients[4] = line_dir[1];
127 model_coefficients[5] = line_dir[2];
129 model_coefficients[6] =
static_cast<float> (
133 if (model_coefficients[6] > radius_max_ || model_coefficients[6] < radius_min_)
136 PCL_DEBUG (
"[pcl::SampleConsensusModelCylinder::computeModelCoefficients] Model is (%g,%g,%g,%g,%g,%g,%g).\n",
137 model_coefficients[0], model_coefficients[1], model_coefficients[2], model_coefficients[3],
138 model_coefficients[4], model_coefficients[5], model_coefficients[6]);
143 template <
typename Po
intT,
typename Po
intNT>
void
145 const Eigen::VectorXf &model_coefficients, std::vector<double> &distances)
const
148 if (!isModelValid (model_coefficients))
154 distances.resize (indices_->size ());
156 Eigen::Vector3f line_pt (model_coefficients[0], model_coefficients[1], model_coefficients[2]);
157 Eigen::Vector3f line_dir (model_coefficients[3], model_coefficients[4], model_coefficients[5]);
158 line_dir.normalize ();
160 for (std::size_t i = 0; i < indices_->size (); ++i)
165 Eigen::Vector3f pt ((*input_)[(*indices_)[i]].x, (*input_)[(*indices_)[i]].y, (*input_)[(*indices_)[i]].z);
167 Eigen::Vector3f diff = pt - line_pt;
169 Eigen::Vector3f dir = diff - (diff.dot (line_dir)) * line_dir;
170 const double weighted_euclid_dist = (1.0 - normal_distance_weight_) * std::abs (dir.norm () - model_coefficients[6]);
173 Eigen::Vector3f n ((*normals_)[(*indices_)[i]].normal[0], (*normals_)[(*indices_)[i]].normal[1], (*normals_)[(*indices_)[i]].normal[2]);
174 double d_normal = std::abs (
getAngle3D (n, dir));
175 d_normal = (std::min) (d_normal,
M_PI - d_normal);
177 distances[i] = std::abs (normal_distance_weight_ * d_normal + weighted_euclid_dist);
182 template <
typename Po
intT,
typename Po
intNT>
void
184 const Eigen::VectorXf &model_coefficients,
const double threshold,
Indices &inliers)
187 if (!isModelValid (model_coefficients))
194 error_sqr_dists_.clear ();
195 inliers.reserve (indices_->size ());
196 error_sqr_dists_.reserve (indices_->size ());
198 Eigen::Vector3f line_pt (model_coefficients[0], model_coefficients[1], model_coefficients[2]);
199 Eigen::Vector3f line_dir (model_coefficients[3], model_coefficients[4], model_coefficients[5]);
200 line_dir.normalize ();
202 for (std::size_t i = 0; i < indices_->size (); ++i)
206 Eigen::Vector3f pt ((*input_)[(*indices_)[i]].x, (*input_)[(*indices_)[i]].y, (*input_)[(*indices_)[i]].z);
207 Eigen::Vector3f diff = pt - line_pt;
209 Eigen::Vector3f dir = diff - (diff.dot (line_dir)) * line_dir;
210 const double weighted_euclid_dist = (1.0 - normal_distance_weight_) * std::abs (dir.norm () - model_coefficients[6]);
211 if (weighted_euclid_dist > threshold)
215 Eigen::Vector3f n ((*normals_)[(*indices_)[i]].normal[0], (*normals_)[(*indices_)[i]].normal[1], (*normals_)[(*indices_)[i]].normal[2]);
216 double d_normal = std::abs (
getAngle3D (n, dir));
217 d_normal = (std::min) (d_normal,
M_PI - d_normal);
219 double distance = std::abs (normal_distance_weight_ * d_normal + weighted_euclid_dist);
223 inliers.push_back ((*indices_)[i]);
224 error_sqr_dists_.push_back (
distance);
230 template <
typename Po
intT,
typename Po
intNT> std::size_t
232 const Eigen::VectorXf &model_coefficients,
const double threshold)
const
235 if (!isModelValid (model_coefficients))
238 std::size_t nr_p = 0;
240 Eigen::Vector3f line_pt (model_coefficients[0], model_coefficients[1], model_coefficients[2]);
241 Eigen::Vector3f line_dir (model_coefficients[3], model_coefficients[4], model_coefficients[5]);
242 line_dir.normalize ();
244 for (std::size_t i = 0; i < indices_->size (); ++i)
248 Eigen::Vector3f pt ((*input_)[(*indices_)[i]].x, (*input_)[(*indices_)[i]].y, (*input_)[(*indices_)[i]].z);
249 Eigen::Vector3f diff = pt - line_pt;
251 Eigen::Vector3f dir = diff - (diff.dot (line_dir)) * line_dir;
252 const double weighted_euclid_dist = (1.0 - normal_distance_weight_) * std::abs (dir.norm () - model_coefficients[6]);
253 if (weighted_euclid_dist > threshold)
257 Eigen::Vector3f n ((*normals_)[(*indices_)[i]].normal[0], (*normals_)[(*indices_)[i]].normal[1], (*normals_)[(*indices_)[i]].normal[2]);
258 double d_normal = std::abs (
getAngle3D (n, dir));
259 d_normal = (std::min) (d_normal,
M_PI - d_normal);
261 if (std::abs (normal_distance_weight_ * d_normal + weighted_euclid_dist) < threshold)
268 template <
typename Po
intT,
typename Po
intNT>
void
270 const Indices &inliers,
const Eigen::VectorXf &model_coefficients, Eigen::VectorXf &optimized_coefficients)
const
272 optimized_coefficients = model_coefficients;
275 if (!isModelValid (model_coefficients))
277 PCL_ERROR (
"[pcl::SampleConsensusModelCylinder::optimizeModelCoefficients] Given model is invalid!\n");
282 if (inliers.size () <= sample_size_)
284 PCL_ERROR (
"[pcl::SampleConsensusModelCylinder:optimizeModelCoefficients] Not enough inliers found to optimize model coefficients (%lu)! Returning the same coefficients.\n", inliers.size ());
288 Eigen::ArrayXf pts_x(inliers.size());
289 Eigen::ArrayXf pts_y(inliers.size());
290 Eigen::ArrayXf pts_z(inliers.size());
292 for(
const auto& index : inliers) {
293 pts_x[pos] = (*input_)[index].x;
294 pts_y[pos] = (*input_)[index].y;
295 pts_z[pos] = (*input_)[index].z;
300 PCL_DEBUG (
"[pcl::SampleConsensusModelCylinder::optimizeModelCoefficients] Initial solution: %g %g %g %g %g %g %g \nFinal solution: %g %g %g %g %g %g %g\n",
301 model_coefficients[0], model_coefficients[1], model_coefficients[2], model_coefficients[3],
302 model_coefficients[4], model_coefficients[5], model_coefficients[6], optimized_coefficients[0], optimized_coefficients[1], optimized_coefficients[2], optimized_coefficients[3], optimized_coefficients[4], optimized_coefficients[5], optimized_coefficients[6]);
304 Eigen::Vector3f line_dir (optimized_coefficients[3], optimized_coefficients[4], optimized_coefficients[5]);
305 line_dir.normalize ();
306 optimized_coefficients[3] = line_dir[0];
307 optimized_coefficients[4] = line_dir[1];
308 optimized_coefficients[5] = line_dir[2];
312 template <
typename Po
intT,
typename Po
intNT>
void
314 const Indices &inliers,
const Eigen::VectorXf &model_coefficients,
PointCloud &projected_points,
bool copy_data_fields)
const
317 if (!isModelValid (model_coefficients))
319 PCL_ERROR (
"[pcl::SampleConsensusModelCylinder::projectPoints] Given model is invalid!\n");
323 projected_points.
header = input_->header;
324 projected_points.
is_dense = input_->is_dense;
326 Eigen::Vector4f line_pt (model_coefficients[0], model_coefficients[1], model_coefficients[2], 0.0f);
327 Eigen::Vector4f line_dir (model_coefficients[3], model_coefficients[4], model_coefficients[5], 0.0f);
328 float ptdotdir = line_pt.dot (line_dir);
329 float dirdotdir = 1.0f / line_dir.dot (line_dir);
332 if (copy_data_fields)
335 projected_points.
resize (input_->size ());
336 projected_points.
width = input_->width;
337 projected_points.
height = input_->height;
339 using FieldList =
typename pcl::traits::fieldList<PointT>::type;
341 for (std::size_t i = 0; i < projected_points.
size (); ++i)
346 for (
const auto &inlier : inliers)
348 Eigen::Vector4f p ((*input_)[inlier].x,
353 float k = (p.dot (line_dir) - ptdotdir) * dirdotdir;
356 pp.matrix () = line_pt + k * line_dir;
358 Eigen::Vector4f dir = p - pp;
363 pp += dir * model_coefficients[6];
369 projected_points.
resize (inliers.size ());
370 projected_points.
width = inliers.size ();
371 projected_points.
height = 1;
373 using FieldList =
typename pcl::traits::fieldList<PointT>::type;
375 for (std::size_t i = 0; i < inliers.size (); ++i)
380 for (std::size_t i = 0; i < inliers.size (); ++i)
385 float k = (p.dot (line_dir) - ptdotdir) * dirdotdir;
387 pp.matrix () = line_pt + k * line_dir;
389 Eigen::Vector4f dir = p - pp;
394 pp += dir * model_coefficients[6];
400 template <
typename Po
intT,
typename Po
intNT>
bool
402 const std::set<index_t> &indices,
const Eigen::VectorXf &model_coefficients,
const double threshold)
const
405 if (!isModelValid (model_coefficients))
407 PCL_ERROR (
"[pcl::SampleConsensusModelCylinder::doSamplesVerifyModel] Given model is invalid!\n");
411 for (
const auto &index : indices)
416 Eigen::Vector4f pt ((*input_)[index].x, (*input_)[index].y, (*input_)[index].z, 0.0f);
417 if (std::abs (pointToLineDistance (pt, model_coefficients) - model_coefficients[6]) > threshold)
425 template <
typename Po
intT,
typename Po
intNT>
double
427 const Eigen::Vector4f &pt,
const Eigen::VectorXf &model_coefficients)
const
429 Eigen::Vector4f line_pt (model_coefficients[0], model_coefficients[1], model_coefficients[2], 0.0f);
430 Eigen::Vector4f line_dir (model_coefficients[3], model_coefficients[4], model_coefficients[5], 0.0f);
435 template <
typename Po
intT,
typename Po
intNT>
void
437 const Eigen::Vector4f &pt,
const Eigen::VectorXf &model_coefficients, Eigen::Vector4f &pt_proj)
const
439 Eigen::Vector4f line_pt (model_coefficients[0], model_coefficients[1], model_coefficients[2], 0.0f);
440 Eigen::Vector4f line_dir (model_coefficients[3], model_coefficients[4], model_coefficients[5], 0.0f);
442 float k = (pt.dot (line_dir) - line_pt.dot (line_dir)) / line_dir.dot (line_dir);
443 pt_proj = line_pt + k * line_dir;
445 Eigen::Vector4f dir = pt - pt_proj;
449 pt_proj += dir * model_coefficients[6];
453 template <
typename Po
intT,
typename Po
intNT>
bool
460 if (eps_angle_ > 0.0)
463 const Eigen::Vector3f coeff(model_coefficients[3], model_coefficients[4], model_coefficients[5]);
465 double angle_diff = std::abs (
getAngle3D (axis_, coeff));
466 angle_diff = (std::min) (angle_diff,
M_PI - angle_diff);
468 if (angle_diff > eps_angle_)
470 PCL_DEBUG (
"[pcl::SampleConsensusModelCylinder::isModelValid] Angle between cylinder direction and given axis is too large.\n");
475 if (radius_min_ != -std::numeric_limits<double>::max() && model_coefficients[6] < radius_min_)
477 PCL_DEBUG (
"[pcl::SampleConsensusModelCylinder::isModelValid] Radius is too small: should be larger than %g, but is %g.\n",
478 radius_min_, model_coefficients[6]);
481 if (radius_max_ != std::numeric_limits<double>::max() && model_coefficients[6] > radius_max_)
483 PCL_DEBUG (
"[pcl::SampleConsensusModelCylinder::isModelValid] Radius is too big: should be smaller than %g, but is %g.\n",
484 radius_max_, model_coefficients[6]);
491 #define PCL_INSTANTIATE_SampleConsensusModelCylinder(PointT, PointNT) template class PCL_EXPORTS pcl::SampleConsensusModelCylinder<PointT, PointNT>;
PointCloud represents the base class in PCL for storing collections of 3D points.
bool is_dense
True if no points are invalid (e.g., have NaN or Inf values in any of their floating point fields).
void resize(std::size_t count)
Resizes the container to contain count elements.
std::uint32_t width
The point cloud width (if organized as an image-structure).
pcl::PCLHeader header
The point cloud header.
std::uint32_t height
The point cloud height (if organized as an image-structure).
void getDistancesToModel(const Eigen::VectorXf &model_coefficients, std::vector< double > &distances) const override
Compute all distances from the cloud data to a given cylinder model.
void projectPoints(const Indices &inliers, const Eigen::VectorXf &model_coefficients, PointCloud &projected_points, bool copy_data_fields=true) const override
Create a new point cloud with inliers projected onto the cylinder model.
bool isModelValid(const Eigen::VectorXf &model_coefficients) const override
Check whether a model is valid given the user constraints.
void optimizeModelCoefficients(const Indices &inliers, const Eigen::VectorXf &model_coefficients, Eigen::VectorXf &optimized_coefficients) const override
Recompute the cylinder coefficients using the given inlier set and return them to the user.
std::size_t countWithinDistance(const Eigen::VectorXf &model_coefficients, const double threshold) const override
Count all the points which respect the given model coefficients as inliers.
void projectPointToCylinder(const Eigen::Vector4f &pt, const Eigen::VectorXf &model_coefficients, Eigen::Vector4f &pt_proj) const
Project a point onto a cylinder given by its model coefficients (point_on_axis, axis_direction,...
void selectWithinDistance(const Eigen::VectorXf &model_coefficients, const double threshold, Indices &inliers) override
Select all the points which respect the given model coefficients as inliers.
bool isSampleGood(const Indices &samples) const override
Check if a sample of indices results in a good sample of points indices.
bool doSamplesVerifyModel(const std::set< index_t > &indices, const Eigen::VectorXf &model_coefficients, const double threshold) const override
Verify whether a subset of indices verifies the given cylinder model coefficients.
double pointToLineDistance(const Eigen::Vector4f &pt, const Eigen::VectorXf &model_coefficients) const
Get the distance from a point to a line (represented by a point and a direction)
bool computeModelCoefficients(const Indices &samples, Eigen::VectorXf &model_coefficients) const override
Check whether the given index samples can form a valid cylinder model, compute the model coefficients...
SampleConsensusModel represents the base model class.
Define standard C methods and C++ classes that are common to all methods.
double getAngle3D(const Eigen::Vector4f &v1, const Eigen::Vector4f &v2, const bool in_degree=false)
Compute the smallest angle between two 3D vectors in radians (default) or degree.
double sqrPointToLineDistance(const Eigen::Vector4f &pt, const Eigen::Vector4f &line_pt, const Eigen::Vector4f &line_dir)
Get the square distance from a point to a line (represented by a point and a direction)
float distance(const PointT &p1, const PointT &p2)
PCL_EXPORTS int optimizeModelCoefficientsCylinder(Eigen::VectorXf &coeff, const Eigen::ArrayXf &pts_x, const Eigen::ArrayXf &pts_y, const Eigen::ArrayXf &pts_z)
Eigen::Map< Eigen::Vector4f, Eigen::Aligned > Vector4fMap
const Eigen::Map< const Eigen::Vector4f, Eigen::Aligned > Vector4fMapConst
IndicesAllocator<> Indices
Type used for indices in PCL.
Helper functor structure for concatenate.