mirror of https://github.com/CGAL/cgal
Plane_regularization class is now a simple function regularize_planes
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@ -37,361 +37,175 @@
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namespace CGAL {
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namespace internal {
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namespace PlaneRegularization {
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/*!
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\ingroup PkgPointSetShapeDetection3
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\brief A plane regularization algorithm applied as a post-processing
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to a shape detection algorithm.
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Given a set of detected planes with their respective inlier sets, this
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class enables to regularize the planes: planes almost parallel are
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made exactly parallel. In addition, some additional regularization can
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be performed:
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- Plane clusters that are almost orthogonal can be made exactly
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orthogonal.
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- Planes that are parallel and almost coplanar can be made exactly
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coplanar.
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- Planes that are almost symmetrical with a user-defined axis can be
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made exactly symmetrical.
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Planes are directly modified. Points are left unaltered, as well as
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their relationships to planes (no transfer of point from a primitive
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plane to another).
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The implementation follows \cgalCite{cgal:vla-lod-15}.
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\tparam Traits a model of `EfficientRANSACTraits`
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*/
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template <typename Traits>
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class Plane_regularization
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{
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public:
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/// \cond SKIP_IN_MANUAL
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typedef Plane_regularization<Traits> Self;
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/// \endcond
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/// \name Types
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/// @{
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/// \cond SKIP_IN_MANUAL
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typedef typename Traits::FT FT;
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typedef typename Traits::Point_3 Point;
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typedef typename Traits::Vector_3 Vector;
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typedef typename Traits::Line_3 Line;
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/// \endcond
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typedef typename Traits::Plane_3 Plane; ///< Raw plane type
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typedef typename Traits::Point_map Point_map;
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///< property map to access the location of an input point.
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typedef typename Traits::Normal_map Normal_map;
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///< property map to access the unoriented normal of an input point
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typedef typename Traits::Input_range Input_range;
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///< Model of the concept `Range` with random access iterators, providing input points and normals
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/// through the following two property maps.
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typedef typename Input_range::iterator Input_iterator; ///< Iterator on input data
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typedef Shape_detection_3::Shape_base<Traits> Shape; ///< Shape type.
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typedef Shape_detection_3::Plane<Traits> Plane_shape; ///< Plane type.
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/// @}
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private:
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struct Plane_cluster
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{
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template <typename Traits>
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struct Plane_cluster
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{
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bool is_free;
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std::vector<std::size_t> planes;
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std::vector<std::size_t> coplanar_group;
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std::vector<std::size_t> orthogonal_clusters;
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Vector normal;
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FT cosangle_symmetry;
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FT area;
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FT cosangle_centroid;
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};
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typename Traits::Vector_3 normal;
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typename Traits::FT cosangle_symmetry;
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typename Traits::FT area;
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typename Traits::FT cosangle_centroid;
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};
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Traits m_traits;
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Input_iterator m_input_begin;
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Input_iterator m_input_end;
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Point_map m_point_pmap;
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Normal_map m_normal_pmap;
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template <typename Traits>
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typename Traits::Vector_3 regularize_normal
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(const typename Traits::Vector_3& n,
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const typename Traits::Vector_3& symmetry_direction,
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typename Traits::FT cos_symmetry)
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{
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typedef typename Traits::FT FT;
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typedef typename Traits::Point_3 Point;
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typedef typename Traits::Vector_3 Vector;
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typedef typename Traits::Line_3 Line;
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typedef typename Traits::Plane_3 Plane;
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std::vector<boost::shared_ptr<Plane_shape> > m_planes;
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std::vector<Point> m_centroids;
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std::vector<FT> m_areas;
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if (symmetry_direction == CGAL::NULL_VECTOR)
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return n;
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public:
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Point pt_symmetry = CGAL::ORIGIN + cos_symmetry* symmetry_direction;
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/// \name Initialization
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/// @{
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/*!
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Constructs an empty plane regularization engine.
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*/
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Plane_regularization (Traits t = Traits ())
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: m_traits (t)
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Plane plane_symmetry (pt_symmetry, symmetry_direction);
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Point pt_normal = CGAL::ORIGIN + n;
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if (n != symmetry_direction || n != -symmetry_direction)
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{
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Plane plane_cut (CGAL::ORIGIN, pt_normal, CGAL::ORIGIN + symmetry_direction);
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Line line;
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CGAL::Object ob_1 = CGAL::intersection(plane_cut, plane_symmetry);
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if (!assign(line, ob_1))
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return n;
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}
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FT delta = std::sqrt ((FT)1. - cos_symmetry * cos_symmetry);
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/*!
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Point projected_origin = line.projection (CGAL::ORIGIN);
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Vector line_vector (line);
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line_vector = line_vector / std::sqrt (line_vector * line_vector);
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Point pt1 = projected_origin + delta * line_vector;
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Point pt2 = projected_origin - delta * line_vector;
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Constructs a plane regularization engine base on an input range
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of points with its related shape detection engine.
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\param input_range Range of input data.
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\param shape_detection Shape detection engine used to detect
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shapes from the input data. This engine may handle any types of
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primitive shapes but only planes will be regularized.
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\warning The `shape_detection` parameter must have already
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detected shapes and must have been using `input_range` as input.
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*/
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Plane_regularization (Input_range& input_range,
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const Shape_detection_3::Efficient_RANSAC<Traits>& shape_detection)
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: m_traits (shape_detection.traits())
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{
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m_input_begin = input_range.begin ();
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m_input_end = input_range.end ();
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BOOST_FOREACH (boost::shared_ptr<Shape> shape, shape_detection.shapes())
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{
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boost::shared_ptr<Plane_shape> pshape
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= boost::dynamic_pointer_cast<Plane_shape>(shape);
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// Ignore all shapes other than plane
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if (pshape == boost::shared_ptr<Plane_shape>())
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continue;
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m_planes.push_back (pshape);
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}
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}
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/*!
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Releases all memory allocated by this instance.
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*/
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virtual ~Plane_regularization ()
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{
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clear ();
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}
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/// @}
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/// \name Memory Management
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/// @{
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/*!
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Clear all internal structures.
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*/
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void clear ()
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{
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std::vector<boost::shared_ptr<Plane_shape> > ().swap (m_planes);
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std::vector<Point> ().swap (m_centroids);
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std::vector<FT> ().swap (m_areas);
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}
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/// @}
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/// \name Regularization
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/// @{
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/*!
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Performs the plane regularization. Planes are directly modified.
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\param tolerance_angle Tolerance of deviation between normal
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vectors of planes so that they are considered parallel (in
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degrees).
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\param tolerance_coplanarity Maximal distance between two
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parallel planes such that they are considered coplanar. The
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default value is 0, meaning that coplanarity is not taken into
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account for regularization.
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\param regularize_orthogonality Make almost orthogonal clusters
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of plane exactly orthogonal.
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\param symmetry_direction Make clusters that are almost
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symmetrical in the symmetry direction exactly symmetrical. This
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parameter is ignored if it is equal to `CGAL::NULL_VECTOR`
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(default value).
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\return The number of clusters of parallel planes found.
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*/
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std::size_t run (FT tolerance_angle = (FT)25.0,
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FT tolerance_coplanarity = (FT)0.0,
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bool regularize_orthogonality = true,
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Vector symmetry_direction = CGAL::NULL_VECTOR)
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{
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compute_centroids_and_areas ();
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FT tolerance_cosangle = (FT)1. - std::cos (tolerance_angle);
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// clustering the parallel primitives and store them in clusters
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// & compute the normal, size and cos angle to the symmetry
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// direction of each cluster
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std::vector<Plane_cluster> clusters;
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compute_parallel_clusters (clusters, tolerance_cosangle, symmetry_direction);
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if (regularize_orthogonality)
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{
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//discovery orthogonal relationship between clusters
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for (std::size_t i = 0; i < clusters.size(); ++ i)
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{
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for (std::size_t j = i + 1; j < clusters.size(); ++ j)
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{
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if (std::fabs (clusters[i].normal * clusters[j].normal) < tolerance_cosangle)
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{
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clusters[i].orthogonal_clusters.push_back (j);
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clusters[j].orthogonal_clusters.push_back (i);
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}
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}
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}
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}
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//clustering the symmetry cosangle and store their centroids in
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//cosangle_centroids and the centroid index of each cluster in
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//list_cluster_index
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if (symmetry_direction != CGAL::NULL_VECTOR)
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cluster_symmetric_cosangles (clusters, tolerance_cosangle);
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//find subgraphs of mutually orthogonal clusters (store index of
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//clusters in subgraph_clusters), and select the cluster of
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//largest area
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if (regularize_orthogonality)
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subgraph_mutually_orthogonal_clusters (clusters, symmetry_direction);
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//recompute optimal plane for each primitive after normal regularization
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for (std::size_t i=0; i < clusters.size(); ++ i)
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{
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Vector vec_reg = clusters[i].normal;
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for (std::size_t j = 0; j < clusters[i].planes.size(); ++ j)
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{
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std::size_t index_prim = clusters[i].planes[j];
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Point pt_reg = m_planes[index_prim]->projection (m_centroids[index_prim]);
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if( m_planes[index_prim]->plane_normal () * vec_reg < 0)
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vec_reg=-vec_reg;
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Plane plane_reg(pt_reg,vec_reg);
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if( std::fabs(m_planes[index_prim]->plane_normal () * plane_reg.orthogonal_vector ()) > 1. - tolerance_cosangle)
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m_planes[index_prim]->update (plane_reg);
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}
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}
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//detecting co-planarity and store in list_coplanar_prim
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for (std::size_t i = 0; i < clusters.size(); ++ i)
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{
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Vector vec_reg = clusters[i].normal;
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for (std::size_t ip = 0; ip < clusters[i].planes.size(); ++ ip)
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clusters[i].coplanar_group.push_back (static_cast<std::size_t>(-1));
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std::size_t cop_index=0;
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for (std::size_t j = 0; j < clusters[i].planes.size(); ++ j)
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{
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std::size_t index_prim = clusters[i].planes[j];
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if (clusters[i].coplanar_group[j] == static_cast<std::size_t>(-1))
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{
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clusters[i].coplanar_group[j] = cop_index;
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Point pt_reg = m_planes[index_prim]->projection(m_centroids[index_prim]);
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Plane plan_reg(pt_reg,vec_reg);
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for (std::size_t k = j + 1; k < clusters[i].planes.size(); ++ k)
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{
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if (clusters[i].coplanar_group[k] == static_cast<std::size_t>(-1))
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{
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std::size_t index_prim_next = clusters[i].planes[k];
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Point pt_reg_next = m_planes[index_prim_next]->projection(m_centroids[index_prim_next]);
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Point pt_proj=plan_reg.projection(pt_reg_next);
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FT distance=distance_Point(pt_reg_next,pt_proj);
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if (distance < tolerance_coplanarity)
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clusters[i].coplanar_group[k] = cop_index;
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}
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}
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cop_index++;
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}
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}
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//regularize primitive position by computing barycenter of cplanar planes
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std::vector<Point> pt_bary (cop_index, Point ((FT)0., (FT)0., (FT)0.));
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std::vector<FT> area (cop_index, 0.);
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for (std::size_t j = 0; j < clusters[i].planes.size (); ++ j)
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{
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std::size_t index_prim = clusters[i].planes[j];
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std::size_t group = clusters[i].coplanar_group[j];
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Point pt_reg = m_planes[index_prim]->projection(m_centroids[index_prim]);
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pt_bary[group] = CGAL::barycenter (pt_bary[group], area[group], pt_reg, m_areas[index_prim]);
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area[group] += m_areas[index_prim];
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}
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for (std::size_t j = 0; j < clusters[i].planes.size (); ++ j)
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{
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std::size_t index_prim = clusters[i].planes[j];
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std::size_t group = clusters[i].coplanar_group[j];
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Plane plane_reg (pt_bary[group], vec_reg);
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if (m_planes[index_prim]->plane_normal ()
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* plane_reg.orthogonal_vector() < 0)
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m_planes[index_prim]->update (plane_reg.opposite());
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if (CGAL::squared_distance (pt_normal, pt1) <= CGAL::squared_distance (pt_normal, pt2))
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return Vector (CGAL::ORIGIN, pt1);
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else
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m_planes[index_prim]->update (plane_reg);
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}
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return Vector (CGAL::ORIGIN, pt2);
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}
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else
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return n;
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}
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return clusters.size ();
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}
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/// @}
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template <typename Traits>
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typename Traits::Vector_3 regularize_normals_from_prior
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(const typename Traits::Vector_3& np,
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const typename Traits::Vector_3& n,
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const typename Traits::Vector_3& symmetry_direction,
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typename Traits::FT cos_symmetry)
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{
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typedef typename Traits::FT FT;
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typedef typename Traits::Point_3 Point;
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typedef typename Traits::Vector_3 Vector;
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typedef typename Traits::Line_3 Line;
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typedef typename Traits::Plane_3 Plane;
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if (symmetry_direction == CGAL::NULL_VECTOR)
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return n;
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private:
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Plane plane_orthogonality (CGAL::ORIGIN, np);
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Point pt_symmetry = CGAL::ORIGIN + cos_symmetry* symmetry_direction;
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void compute_centroids_and_areas ()
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Plane plane_symmetry (pt_symmetry, symmetry_direction);
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Line line;
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CGAL::Object ob_1 = CGAL::intersection (plane_orthogonality, plane_symmetry);
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if (!assign(line, ob_1))
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return regularize_normal<Traits> (n, symmetry_direction, cos_symmetry);
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Point projected_origin = line.projection (CGAL::ORIGIN);
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FT R = CGAL::squared_distance (Point (CGAL::ORIGIN), projected_origin);
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if (R <= 1) // 2 (or 1) possible points intersecting the unit sphere and line
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{
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for (std::size_t i = 0; i < m_planes.size (); ++ i)
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FT delta = std::sqrt ((FT)1. - R);
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Vector line_vector(line);
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line_vector = line_vector / std::sqrt (line_vector * line_vector);
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Point pt1 = projected_origin + delta * line_vector;
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Point pt2 = projected_origin - delta * line_vector;
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Point pt_n = CGAL::ORIGIN + n;
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if (CGAL::squared_distance (pt_n, pt1) <= CGAL::squared_distance (pt_n, pt2))
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return Vector (CGAL::ORIGIN, pt1);
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else
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return Vector (CGAL::ORIGIN, pt2);
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}
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else //no point intersecting the unit sphere and line
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return regularize_normal<Traits> (n,symmetry_direction, cos_symmetry);
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}
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template <typename Traits,
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typename RandomAccessIterator,
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typename PlaneContainer,
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typename PointPMap,
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typename CentroidContainer,
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typename AreaContainer>
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void compute_centroids_and_areas (RandomAccessIterator input_begin,
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PlaneContainer& planes,
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PointPMap point_pmap,
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CentroidContainer& centroids,
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AreaContainer& areas)
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{
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typedef typename Traits::FT FT;
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typedef typename Traits::Point_3 Point;
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for (std::size_t i = 0; i < planes.size (); ++ i)
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{
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std::vector < Point > listp;
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for (std::size_t j = 0; j < m_planes[i]->indices_of_assigned_points ().size (); ++ j)
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for (std::size_t j = 0; j < planes[i]->indices_of_assigned_points ().size (); ++ j)
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{
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std::size_t yy = m_planes[i]->indices_of_assigned_points()[j];
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Point pt = get (m_point_pmap, *(m_input_begin + yy));
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std::size_t yy = planes[i]->indices_of_assigned_points()[j];
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Point pt = get (point_pmap, *(input_begin + yy));
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listp.push_back(pt);
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}
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m_centroids.push_back (CGAL::centroid (listp.begin (), listp.end ()));
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m_areas.push_back ((FT)(m_planes[i]->indices_of_assigned_points().size()) / (FT)100.);
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}
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centroids.push_back (CGAL::centroid (listp.begin (), listp.end ()));
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areas.push_back ((FT)(planes[i]->indices_of_assigned_points().size()) / (FT)100.);
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}
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}
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template <typename Traits,
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typename PlaneContainer,
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typename PlaneClusterContainer,
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typename AreaContainer>
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void compute_parallel_clusters (PlaneContainer& planes,
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PlaneClusterContainer& clusters,
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AreaContainer& areas,
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typename Traits::FT tolerance_cosangle,
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const typename Traits::Vector_3& symmetry_direction)
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{
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typedef typename Traits::FT FT;
|
||||
typedef typename Traits::Vector_3 Vector;
|
||||
|
||||
typedef typename PlaneClusterContainer::value_type Plane_cluster;
|
||||
|
||||
void compute_parallel_clusters (std::vector<Plane_cluster>& clusters, FT tolerance_cosangle,
|
||||
const Vector& symmetry_direction)
|
||||
{
|
||||
// find pairs of epsilon-parallel primitives and store them in parallel_planes
|
||||
std::vector<std::vector<std::size_t> > parallel_planes (m_planes.size ());
|
||||
for (std::size_t i = 0; i < m_planes.size (); ++ i)
|
||||
std::vector<std::vector<std::size_t> > parallel_planes (planes.size ());
|
||||
for (std::size_t i = 0; i < planes.size (); ++ i)
|
||||
{
|
||||
Vector v1 = m_planes[i]->plane_normal ();
|
||||
Vector v1 = planes[i]->plane_normal ();
|
||||
|
||||
for (std::size_t j = 0; j < m_planes.size(); ++ j)
|
||||
for (std::size_t j = 0; j < planes.size(); ++ j)
|
||||
{
|
||||
if (i == j)
|
||||
continue;
|
||||
|
||||
Vector v2 = m_planes[i]->plane_normal ();
|
||||
Vector v2 = planes[i]->plane_normal ();
|
||||
|
||||
if (std::fabs (v1 * v2) > 1. - tolerance_cosangle)
|
||||
parallel_planes[i].push_back (j);
|
||||
|
|
@ -399,9 +213,9 @@ The implementation follows \cgalCite{cgal:vla-lod-15}.
|
|||
}
|
||||
|
||||
|
||||
std::vector<bool> is_available (m_planes.size (), true);
|
||||
std::vector<bool> is_available (planes.size (), true);
|
||||
|
||||
for (std::size_t i = 0; i < m_planes.size(); ++ i)
|
||||
for (std::size_t i = 0; i < planes.size(); ++ i)
|
||||
{
|
||||
|
||||
if(is_available[i])
|
||||
|
|
@ -421,8 +235,8 @@ The implementation follows \cgalCite{cgal:vla-lod-15}.
|
|||
|
||||
//propagation over the pairs of epsilon-parallel primitives
|
||||
bool propagation=true;
|
||||
clu.normal = m_planes[i]->plane_normal ();
|
||||
clu.area = m_areas[i];
|
||||
clu.normal = planes[i]->plane_normal ();
|
||||
clu.area = areas[i];
|
||||
|
||||
do
|
||||
{
|
||||
|
|
@ -437,7 +251,7 @@ The implementation follows \cgalCite{cgal:vla-lod-15}.
|
|||
{
|
||||
std::size_t it = parallel_planes[plane_index][l];
|
||||
|
||||
Vector normal_it = m_planes[it]->plane_normal ();
|
||||
Vector normal_it = planes[it]->plane_normal ();
|
||||
|
||||
if(is_available[it]
|
||||
&& std::fabs (normal_it*clu.normal) > 1. - tolerance_cosangle )
|
||||
|
|
@ -450,10 +264,10 @@ The implementation follows \cgalCite{cgal:vla-lod-15}.
|
|||
normal_it = -normal_it;
|
||||
|
||||
clu.normal = (FT)clu.area * clu.normal
|
||||
+ (FT)m_areas[it] * normal_it;
|
||||
+ (FT)areas[it] * normal_it;
|
||||
FT norm = (FT)1. / std::sqrt (clu.normal.squared_length());
|
||||
clu.normal = norm * clu.normal;
|
||||
clu.area += m_areas[it];
|
||||
clu.area += areas[it];
|
||||
}
|
||||
}
|
||||
}
|
||||
|
|
@ -476,10 +290,15 @@ The implementation follows \cgalCite{cgal:vla-lod-15}.
|
|||
}
|
||||
}
|
||||
is_available.clear();
|
||||
}
|
||||
}
|
||||
|
||||
template <typename Traits,
|
||||
typename PlaneClusterContainer>
|
||||
void cluster_symmetric_cosangles (PlaneClusterContainer& clusters,
|
||||
typename Traits::FT tolerance_cosangle)
|
||||
{
|
||||
typedef typename Traits::FT FT;
|
||||
|
||||
void cluster_symmetric_cosangles (std::vector<Plane_cluster>& clusters, FT tolerance_cosangle)
|
||||
{
|
||||
std::vector < FT > cosangle_centroids;
|
||||
std::vector < std::size_t> list_cluster_index;
|
||||
for( std::size_t i = 0; i < clusters.size(); ++ i)
|
||||
|
|
@ -520,11 +339,17 @@ The implementation follows \cgalCite{cgal:vla-lod-15}.
|
|||
}
|
||||
for (std::size_t i = 0; i < clusters.size(); ++ i)
|
||||
clusters[i].cosangle_symmetry = cosangle_centroids[list_cluster_index[i]];
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
template <typename Traits,
|
||||
typename PlaneClusterContainer>
|
||||
void subgraph_mutually_orthogonal_clusters (PlaneClusterContainer& clusters,
|
||||
const typename Traits::Vector_3& symmetry_direction)
|
||||
{
|
||||
typedef typename Traits::FT FT;
|
||||
typedef typename Traits::Vector_3 Vector;
|
||||
|
||||
void subgraph_mutually_orthogonal_clusters (std::vector<Plane_cluster>& clusters,
|
||||
const Vector& symmetry_direction)
|
||||
{
|
||||
std::vector < std::vector < std::size_t> > subgraph_clusters;
|
||||
std::vector < std::size_t> subgraph_clusters_max_area_index;
|
||||
|
||||
|
|
@ -622,7 +447,8 @@ The implementation follows \cgalCite{cgal:vla-lod-15}.
|
|||
{
|
||||
|
||||
std::size_t index_current=subgraph_clusters_max_area_index[i];
|
||||
Vector vec_current=regularize_normal(clusters[index_current].normal,
|
||||
Vector vec_current=regularize_normal<Traits>
|
||||
(clusters[index_current].normal,
|
||||
symmetry_direction,
|
||||
clusters[index_current].cosangle_symmetry);
|
||||
clusters[index_current].normal = vec_current;
|
||||
|
|
@ -657,7 +483,8 @@ The implementation follows \cgalCite{cgal:vla-lod-15}.
|
|||
index_container_current_ring.push_back(j);
|
||||
clusters[j].is_free = false;
|
||||
|
||||
Vector new_vect=regularize_normals_from_prior(clusters[cluster_index].normal,
|
||||
Vector new_vect=regularize_normals_from_prior<Traits>
|
||||
(clusters[cluster_index].normal,
|
||||
clusters[j].normal,
|
||||
symmetry_direction,
|
||||
clusters[j].cosangle_symmetry);
|
||||
|
|
@ -677,95 +504,243 @@ The implementation follows \cgalCite{cgal:vla-lod-15}.
|
|||
index_container_current_ring.clear();
|
||||
}while(propagation);
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
|
||||
} // namespace PlaneRegularization
|
||||
} // namespace internal
|
||||
|
||||
|
||||
/*!
|
||||
|
||||
Given a set of detected planes with their respective inlier sets,
|
||||
this function enables to regularize the planes: planes almost
|
||||
parallel are made exactly parallel. In addition, some additional
|
||||
regularization can be performed:
|
||||
|
||||
- Plane clusters that are almost orthogonal can be made exactly
|
||||
orthogonal.
|
||||
|
||||
- Planes that are parallel and almost coplanar can be made exactly
|
||||
coplanar.
|
||||
|
||||
- Planes that are almost symmetrical with a user-defined axis can be
|
||||
made exactly symmetrical.
|
||||
|
||||
Planes are directly modified. Points are left unaltered, as well as
|
||||
their relationships to planes (no transfer of point from a primitive
|
||||
plane to another).
|
||||
|
||||
The implementation follows \cgalCite{cgal:vla-lod-15}.
|
||||
|
||||
\tparam Traits a model of `EfficientRANSACTraits`
|
||||
|
||||
\param shape_detection Shape detection engine used to detect
|
||||
shapes from the input data. This engine may handle any types of
|
||||
primitive shapes but only planes will be regularized.
|
||||
|
||||
\warning The `shape_detection` parameter must have already
|
||||
detected shapes and must have been using `input_range` as input.
|
||||
|
||||
\param tolerance_angle Tolerance of deviation between normal
|
||||
vectors of planes so that they are considered parallel (in
|
||||
degrees).
|
||||
|
||||
\param tolerance_coplanarity Maximal distance between two
|
||||
parallel planes such that they are considered coplanar. The
|
||||
default value is 0, meaning that coplanarity is not taken into
|
||||
account for regularization.
|
||||
|
||||
\param regularize_orthogonality Make almost orthogonal clusters
|
||||
of plane exactly orthogonal.
|
||||
|
||||
\param symmetry_direction Make clusters that are almost
|
||||
symmetrical in the symmetry direction exactly symmetrical. This
|
||||
parameter is ignored if it is equal to `CGAL::NULL_VECTOR`
|
||||
(default value).
|
||||
|
||||
\return The number of clusters of parallel planes found.
|
||||
*/
|
||||
|
||||
template <typename RandomAccessIterator,
|
||||
typename EfficientRANSACTraits>
|
||||
void regularize_planes (RandomAccessIterator input_begin,
|
||||
RandomAccessIterator /*input_end*/,
|
||||
const Shape_detection_3::Efficient_RANSAC<EfficientRANSACTraits>& shape_detection,
|
||||
typename EfficientRANSACTraits::FT tolerance_angle
|
||||
= (typename EfficientRANSACTraits::FT)25.0,
|
||||
typename EfficientRANSACTraits::FT tolerance_coplanarity
|
||||
= (typename EfficientRANSACTraits::FT)0.0,
|
||||
bool regularize_orthogonality = true,
|
||||
typename EfficientRANSACTraits::Vector_3 symmetry_direction
|
||||
= CGAL::NULL_VECTOR)
|
||||
{
|
||||
typedef typename EfficientRANSACTraits::FT FT;
|
||||
typedef typename EfficientRANSACTraits::Point_3 Point;
|
||||
typedef typename EfficientRANSACTraits::Vector_3 Vector;
|
||||
typedef typename EfficientRANSACTraits::Plane_3 Plane;
|
||||
typedef typename EfficientRANSACTraits::Point_map Point_map;
|
||||
|
||||
typedef Shape_detection_3::Shape_base<EfficientRANSACTraits> Shape;
|
||||
typedef Shape_detection_3::Plane<EfficientRANSACTraits> Plane_shape;
|
||||
|
||||
typedef typename internal::PlaneRegularization::Plane_cluster<EfficientRANSACTraits>
|
||||
Plane_cluster;
|
||||
|
||||
std::vector<boost::shared_ptr<Plane_shape> > planes;
|
||||
|
||||
BOOST_FOREACH (boost::shared_ptr<Shape> shape, shape_detection.shapes())
|
||||
{
|
||||
boost::shared_ptr<Plane_shape> pshape
|
||||
= boost::dynamic_pointer_cast<Plane_shape>(shape);
|
||||
|
||||
// Ignore all shapes other than plane
|
||||
if (pshape == boost::shared_ptr<Plane_shape>())
|
||||
continue;
|
||||
planes.push_back (pshape);
|
||||
}
|
||||
|
||||
|
||||
FT distance_Point (const Point& a, const Point& b)
|
||||
/*
|
||||
* Compute centroids and areas
|
||||
*/
|
||||
std::vector<Point> centroids;
|
||||
std::vector<FT> areas;
|
||||
internal::PlaneRegularization::compute_centroids_and_areas<EfficientRANSACTraits>
|
||||
(input_begin, planes, Point_map(), centroids, areas);
|
||||
|
||||
FT tolerance_cosangle = (FT)1. - std::cos (tolerance_angle);
|
||||
|
||||
// clustering the parallel primitives and store them in clusters
|
||||
// & compute the normal, size and cos angle to the symmetry
|
||||
// direction of each cluster
|
||||
std::vector<Plane_cluster> clusters;
|
||||
internal::PlaneRegularization::compute_parallel_clusters<EfficientRANSACTraits>
|
||||
(planes, clusters, areas, tolerance_cosangle, symmetry_direction);
|
||||
|
||||
if (regularize_orthogonality)
|
||||
{
|
||||
return std::sqrt (CGAL::squared_distance (a, b));
|
||||
//discovery orthogonal relationship between clusters
|
||||
for (std::size_t i = 0; i < clusters.size(); ++ i)
|
||||
{
|
||||
for (std::size_t j = i + 1; j < clusters.size(); ++ j)
|
||||
{
|
||||
|
||||
if (std::fabs (clusters[i].normal * clusters[j].normal) < tolerance_cosangle)
|
||||
{
|
||||
clusters[i].orthogonal_clusters.push_back (j);
|
||||
clusters[j].orthogonal_clusters.push_back (i);
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
Vector regularize_normal (const Vector& n, const Vector& symmetry_direction,
|
||||
FT cos_symmetry)
|
||||
//clustering the symmetry cosangle and store their centroids in
|
||||
//cosangle_centroids and the centroid index of each cluster in
|
||||
//list_cluster_index
|
||||
if (symmetry_direction != CGAL::NULL_VECTOR)
|
||||
internal::PlaneRegularization::cluster_symmetric_cosangles<EfficientRANSACTraits>
|
||||
(clusters, tolerance_cosangle);
|
||||
|
||||
//find subgraphs of mutually orthogonal clusters (store index of
|
||||
//clusters in subgraph_clusters), and select the cluster of
|
||||
//largest area
|
||||
if (regularize_orthogonality)
|
||||
internal::PlaneRegularization::subgraph_mutually_orthogonal_clusters<EfficientRANSACTraits>
|
||||
(clusters, symmetry_direction);
|
||||
|
||||
//recompute optimal plane for each primitive after normal regularization
|
||||
for (std::size_t i=0; i < clusters.size(); ++ i)
|
||||
{
|
||||
if (symmetry_direction == CGAL::NULL_VECTOR)
|
||||
return n;
|
||||
|
||||
Point pt_symmetry = CGAL::ORIGIN + cos_symmetry* symmetry_direction;
|
||||
Vector vec_reg = clusters[i].normal;
|
||||
|
||||
Plane plane_symmetry (pt_symmetry, symmetry_direction);
|
||||
Point pt_normal = CGAL::ORIGIN + n;
|
||||
|
||||
if (n != symmetry_direction || n != -symmetry_direction)
|
||||
for (std::size_t j = 0; j < clusters[i].planes.size(); ++ j)
|
||||
{
|
||||
Plane plane_cut (CGAL::ORIGIN, pt_normal, CGAL::ORIGIN + symmetry_direction);
|
||||
Line line;
|
||||
CGAL::Object ob_1 = CGAL::intersection(plane_cut, plane_symmetry);
|
||||
if (!assign(line, ob_1))
|
||||
return n;
|
||||
std::size_t index_prim = clusters[i].planes[j];
|
||||
Point pt_reg = planes[index_prim]->projection (centroids[index_prim]);
|
||||
if( planes[index_prim]->plane_normal () * vec_reg < 0)
|
||||
vec_reg=-vec_reg;
|
||||
Plane plane_reg(pt_reg,vec_reg);
|
||||
|
||||
FT delta = std::sqrt ((FT)1. - cos_symmetry * cos_symmetry);
|
||||
if( std::fabs(planes[index_prim]->plane_normal () * plane_reg.orthogonal_vector ()) > 1. - tolerance_cosangle)
|
||||
planes[index_prim]->update (plane_reg);
|
||||
}
|
||||
}
|
||||
|
||||
Point projected_origin = line.projection (CGAL::ORIGIN);
|
||||
Vector line_vector (line);
|
||||
line_vector = line_vector / std::sqrt (line_vector * line_vector);
|
||||
Point pt1 = projected_origin + delta * line_vector;
|
||||
Point pt2 = projected_origin - delta * line_vector;
|
||||
|
||||
if (CGAL::squared_distance (pt_normal, pt1) <= CGAL::squared_distance (pt_normal, pt2))
|
||||
return Vector (CGAL::ORIGIN, pt1);
|
||||
//detecting co-planarity and store in list_coplanar_prim
|
||||
for (std::size_t i = 0; i < clusters.size(); ++ i)
|
||||
{
|
||||
Vector vec_reg = clusters[i].normal;
|
||||
|
||||
for (std::size_t ip = 0; ip < clusters[i].planes.size(); ++ ip)
|
||||
clusters[i].coplanar_group.push_back (static_cast<std::size_t>(-1));
|
||||
|
||||
std::size_t cop_index=0;
|
||||
|
||||
for (std::size_t j = 0; j < clusters[i].planes.size(); ++ j)
|
||||
{
|
||||
std::size_t index_prim = clusters[i].planes[j];
|
||||
|
||||
if (clusters[i].coplanar_group[j] == static_cast<std::size_t>(-1))
|
||||
{
|
||||
clusters[i].coplanar_group[j] = cop_index;
|
||||
|
||||
Point pt_reg = planes[index_prim]->projection(centroids[index_prim]);
|
||||
Plane plan_reg(pt_reg,vec_reg);
|
||||
|
||||
for (std::size_t k = j + 1; k < clusters[i].planes.size(); ++ k)
|
||||
{
|
||||
if (clusters[i].coplanar_group[k] == static_cast<std::size_t>(-1))
|
||||
{
|
||||
std::size_t index_prim_next = clusters[i].planes[k];
|
||||
Point pt_reg_next = planes[index_prim_next]->projection(centroids[index_prim_next]);
|
||||
Point pt_proj=plan_reg.projection(pt_reg_next);
|
||||
FT distance = std::sqrt (CGAL::squared_distance(pt_reg_next,pt_proj));
|
||||
|
||||
if (distance < tolerance_coplanarity)
|
||||
clusters[i].coplanar_group[k] = cop_index;
|
||||
}
|
||||
}
|
||||
cop_index++;
|
||||
}
|
||||
}
|
||||
|
||||
//regularize primitive position by computing barycenter of cplanar planes
|
||||
std::vector<Point> pt_bary (cop_index, Point ((FT)0., (FT)0., (FT)0.));
|
||||
std::vector<FT> area (cop_index, 0.);
|
||||
|
||||
for (std::size_t j = 0; j < clusters[i].planes.size (); ++ j)
|
||||
{
|
||||
std::size_t index_prim = clusters[i].planes[j];
|
||||
std::size_t group = clusters[i].coplanar_group[j];
|
||||
|
||||
Point pt_reg = planes[index_prim]->projection(centroids[index_prim]);
|
||||
|
||||
pt_bary[group] = CGAL::barycenter (pt_bary[group], area[group], pt_reg, areas[index_prim]);
|
||||
area[group] += areas[index_prim];
|
||||
}
|
||||
|
||||
|
||||
for (std::size_t j = 0; j < clusters[i].planes.size (); ++ j)
|
||||
{
|
||||
std::size_t index_prim = clusters[i].planes[j];
|
||||
std::size_t group = clusters[i].coplanar_group[j];
|
||||
|
||||
Plane plane_reg (pt_bary[group], vec_reg);
|
||||
|
||||
if (planes[index_prim]->plane_normal ()
|
||||
* plane_reg.orthogonal_vector() < 0)
|
||||
planes[index_prim]->update (plane_reg.opposite());
|
||||
else
|
||||
return Vector (CGAL::ORIGIN, pt2);
|
||||
|
||||
planes[index_prim]->update (plane_reg);
|
||||
}
|
||||
else
|
||||
return n;
|
||||
}
|
||||
|
||||
|
||||
Vector regularize_normals_from_prior (const Vector& np,
|
||||
const Vector& n,
|
||||
const Vector& symmetry_direction,
|
||||
FT cos_symmetry)
|
||||
{
|
||||
if (symmetry_direction == CGAL::NULL_VECTOR)
|
||||
return n;
|
||||
|
||||
Plane plane_orthogonality (CGAL::ORIGIN, np);
|
||||
Point pt_symmetry = CGAL::ORIGIN + cos_symmetry* symmetry_direction;
|
||||
|
||||
Plane plane_symmetry (pt_symmetry, symmetry_direction);
|
||||
|
||||
Line line;
|
||||
CGAL::Object ob_1 = CGAL::intersection (plane_orthogonality, plane_symmetry);
|
||||
if (!assign(line, ob_1))
|
||||
return regularize_normal (n, symmetry_direction, cos_symmetry);
|
||||
|
||||
Point projected_origin = line.projection (CGAL::ORIGIN);
|
||||
FT R = CGAL::squared_distance (Point (CGAL::ORIGIN), projected_origin);
|
||||
|
||||
if (R <= 1) // 2 (or 1) possible points intersecting the unit sphere and line
|
||||
{
|
||||
FT delta = std::sqrt ((FT)1. - R);
|
||||
Vector line_vector(line);
|
||||
line_vector = line_vector / std::sqrt (line_vector * line_vector);
|
||||
Point pt1 = projected_origin + delta * line_vector;
|
||||
Point pt2 = projected_origin - delta * line_vector;
|
||||
|
||||
Point pt_n = CGAL::ORIGIN + n;
|
||||
if (CGAL::squared_distance (pt_n, pt1) <= CGAL::squared_distance (pt_n, pt2))
|
||||
return Vector (CGAL::ORIGIN, pt1);
|
||||
else
|
||||
return Vector (CGAL::ORIGIN, pt2);
|
||||
}
|
||||
else //no point intersecting the unit sphere and line
|
||||
return regularize_normal (n,symmetry_direction, cos_symmetry);
|
||||
|
||||
}
|
||||
|
||||
|
||||
|
||||
};
|
||||
}
|
||||
/// @}
|
||||
|
||||
|
||||
} // namespace CGAL
|
||||
|
|
|
|||
Loading…
Reference in New Issue