template <typename PointT, typename PointNT> void
pcl::SampleConsensusModelCone<PointT, PointNT>::selectWithinDistance (
const Eigen::VectorXf &model_coefficients, const double threshold, std::vector<int> &inliers)
{
// Check if the model is valid given the user constraints
if (!isModelValid (model_coefficients))
{
inliers.clear ();
return;
}
int nr_p = 0;
inliers.resize (indices_->size ());
Eigen::Vector4f apex (model_coefficients[0], model_coefficients[1], model_coefficients[2], 0);
Eigen::Vector4f axis_dir (model_coefficients[3], model_coefficients[4], model_coefficients[5], 0);
float opening_angle = model_coefficients[6];
float apexdotdir = apex.dot (axis_dir);
float dirdotdir = 1.0f / axis_dir.dot (axis_dir);
// Iterate through the 3d points and calculate the distances from them to the cone
for (size_t i = 0; i < indices_->size (); ++i)
{
Eigen::Vector4f pt (input_->points[(*indices_)[i]].x, input_->points[(*indices_)[i]].y, input_->points[(*indices_)[i]].z, 0);
Eigen::Vector4f n (normals_->points[(*indices_)[i]].normal[0], normals_->points[(*indices_)[i]].normal[1], normals_->points[(*indices_)[i]].normal[2], 0);
// Calculate the point's projection on the cone axis
float k = (pt.dot (axis_dir) - apexdotdir) * dirdotdir;
Eigen::Vector4f pt_proj = apex + k * axis_dir;
// Calculate the direction of the point from center
Eigen::Vector4f pp_pt_dir = pt - pt_proj;
pp_pt_dir.normalize ();
// Calculate the actual radius of the cone at the level of the projected point
Eigen::Vector4f height = apex - pt_proj;
double actual_cone_radius = tan(opening_angle) * height.norm ();
height.normalize ();
// Calculate the cones perfect normals
Eigen::Vector4f cone_normal = sinf (opening_angle) * height + cosf (opening_angle) * pp_pt_dir;
// Aproximate the distance from the point to the cone as the difference between
// dist(point,cone_axis) and actual cone radius
double d_euclid = fabs (pointToAxisDistance (pt, model_coefficients) - actual_cone_radius);
// Calculate the angular distance between the point normal and the (dir=pt_proj->pt) vector
double d_normal = fabs (getAngle3D (n, cone_normal));
d_normal = (std::min) (d_normal, M_PI - d_normal);
if (fabs (normal_distance_weight_ * d_normal + (1 - normal_distance_weight_) * d_euclid) < threshold)
{
// Returns the indices of the points whose distances are smaller than the threshold
inliers[nr_p] = (*indices_)[i];
nr_p++;
}
}
inliers.resize (nr_p);
}
template <typename PointT, typename PointNT> double
pcl::SampleConsensusModelCone<PointT, PointNT>::pointToAxisDistance (
const Eigen::Vector4f &pt, const Eigen::VectorXf &model_coefficients)
{
Eigen::Vector4f apex (model_coefficients[0], model_coefficients[1], model_coefficients[2], 0);
Eigen::Vector4f axis_dir (model_coefficients[3], model_coefficients[4], model_coefficients[5], 0);
return sqrt(pcl::sqrPointToLineDistance (pt, apex, axis_dir));
}
template <typename PointT, typename PointNT> bool
pcl::SampleConsensusModelCone<PointT, PointNT>::doSamplesVerifyModel (
const std::set<int> &indices, const Eigen::VectorXf &model_coefficients, const double threshold)
{
// Needs a valid model coefficients
if (model_coefficients.size () != 7)
{
PCL_ERROR ("[pcl::SampleConsensusModelCone::doSamplesVerifyModel] Invalid number of model coefficients given (%lu)!\n", model_coefficients.size ());
return (false);
}
Eigen::Vector4f apex (model_coefficients[0], model_coefficients[1], model_coefficients[2], 0);
Eigen::Vector4f axis_dir (model_coefficients[3], model_coefficients[4], model_coefficients[5], 0);
float openning_angle = model_coefficients[6];
float apexdotdir = apex.dot (axis_dir);
float dirdotdir = 1.0f / axis_dir.dot (axis_dir);
// Iterate through the 3d points and calculate the distances from them to the cone
for (std::set<int>::const_iterator it = indices.begin (); it != indices.end (); ++it)
{
Eigen::Vector4f pt (input_->points[*it].x, input_->points[*it].y, input_->points[*it].z, 0);
// Calculate the point's projection on the cone axis
float k = (pt.dot (axis_dir) - apexdotdir) * dirdotdir;
Eigen::Vector4f pt_proj = apex + k * axis_dir;
Eigen::Vector4f dir = pt - pt_proj;
dir.normalize ();
// Calculate the actual radius of the cone at the level of the projected point
Eigen::Vector4f height = apex - pt_proj;
double actual_cone_radius = tan (openning_angle) * height.norm ();
// Aproximate the distance from the point to the cone as the difference between
// dist(point,cone_axis) and actual cone radius
if (fabs (static_cast<double>(pointToAxisDistance (pt, model_coefficients) - actual_cone_radius)) > threshold)
return (false);
}
return (true);
}
template <typename PointT, typename PointNT> void
pcl::SampleConsensusModelCone<PointT, PointNT>::projectPoints (
const std::vector<int> &inliers, const Eigen::VectorXf &model_coefficients, PointCloud &projected_points, bool copy_data_fields)
{
// Needs a valid set of model coefficients
if (model_coefficients.size () != 7)
{
PCL_ERROR ("[pcl::SampleConsensusModelCone::projectPoints] Invalid number of model coefficients given (%lu)!\n", model_coefficients.size ());
return;
}
projected_points.header = input_->header;
projected_points.is_dense = input_->is_dense;
Eigen::Vector4f apex (model_coefficients[0], model_coefficients[1], model_coefficients[2], 0);
Eigen::Vector4f axis_dir (model_coefficients[3], model_coefficients[4], model_coefficients[5], 0);
float opening_angle = model_coefficients[6];
float apexdotdir = apex.dot (axis_dir);
float dirdotdir = 1.0f / axis_dir.dot (axis_dir);
// Copy all the data fields from the input cloud to the projected one?
if (copy_data_fields)
{
// Allocate enough space and copy the basics
projected_points.points.resize (input_->points.size ());
projected_points.width = input_->width;
projected_points.height = input_->height;
typedef typename pcl::traits::fieldList<PointT>::type FieldList;
// Iterate over each point
for (size_t i = 0; i < projected_points.points.size (); ++i)
// Iterate over each dimension
pcl::for_each_type <FieldList> (NdConcatenateFunctor <PointT, PointT> (input_->points[i], projected_points.points[i]));
// Iterate through the 3d points and calculate the distances from them to the cone
for (size_t i = 0; i < inliers.size (); ++i)
{
Eigen::Vector4f pt (input_->points[inliers[i]].x,
input_->points[inliers[i]].y,
input_->points[inliers[i]].z,
1);
float k = (pt.dot (axis_dir) - apexdotdir) * dirdotdir;
pcl::Vector4fMap pp = projected_points.points[inliers[i]].getVector4fMap ();
pp.matrix () = apex + k * axis_dir;
Eigen::Vector4f dir = pt - pp;
dir.normalize ();
// Calculate the actual radius of the cone at the level of the projected point
Eigen::Vector4f height = apex - pp;
float actual_cone_radius = tanf (opening_angle) * height.norm ();
// Calculate the projection of the point onto the cone
pp += dir * actual_cone_radius;
}
}
else
{
// Allocate enough space and copy the basics
projected_points.points.resize (inliers.size ());
projected_points.width = static_cast<uint32_t> (inliers.size ());
projected_points.height = 1;
typedef typename pcl::traits::fieldList<PointT>::type FieldList;
// Iterate over each point
for (size_t i = 0; i < inliers.size (); ++i)
// Iterate over each dimension
pcl::for_each_type <FieldList> (NdConcatenateFunctor <PointT, PointT> (input_->points[inliers[i]], projected_points.points[i]));
// Iterate through the 3d points and calculate the distances from them to the cone
for (size_t i = 0; i < inliers.size (); ++i)
{
pcl::Vector4fMap pp = projected_points.points[i].getVector4fMap ();
pcl::Vector4fMapConst pt = input_->points[inliers[i]].getVector4fMap ();
float k = (pt.dot (axis_dir) - apexdotdir) * dirdotdir;
// Calculate the projection of the point on the line
pp.matrix () = apex + k * axis_dir;
Eigen::Vector4f dir = pt - pp;
dir.normalize ();
// Calculate the actual radius of the cone at the level of the projected point
Eigen::Vector4f height = apex - pp;
float actual_cone_radius = tanf (opening_angle) * height.norm ();
// Calculate the projection of the point onto the cone
pp += dir * actual_cone_radius;
}
}
}
