Shape Detection Reference

Sven Oesau, Yannick Verdie, Clément Jamin, Pierre Alliez, Florent Lafarge, Simon Giraudot, Thien Hoang, and Dmitry Anisimov

This package implements the Efficient RANSAC (RANdom SAmple Consensus) approach for detecting arbitrary shapes in an unorganized point set with unoriented normals and the Region Growing approach for detecting shapes in a set of arbitrary items. With the Efficient RANSAC approach, five canonical shapes can be detected: planes, spheres, cylinders, cones, and tori. Additional shapes can be detected, given a custom shape class by the user. For the Region Growing approach, this package provides three particular shape detection components: detecting lines in a 2D point set, detecting planes in a 3D point set, and detecting planes on a polygon mesh.

Introduced in: CGAL 4.7
BibTeX: cgal:ovja-pssd-21b
License: GPL
Windows Demo: Polyhedron demo
Common Demo Dlls: dlls

Classified Reference Pages

Efficient RANSAC

Concepts

• EfficientRANSACTraits

Algorithm

• CGAL::Shape_detection::Efficient_RANSAC_traits<GeomTraits, InputRange, PointMap, NormalMap>
• CGAL::Shape_detection::Efficient_RANSAC<Traits>

Shapes

• CGAL::Shape_detection::Plane<Traits>
• CGAL::Shape_detection::Sphere<Traits>
• CGAL::Shape_detection::Cylinder<Traits>
• CGAL::Shape_detection::Cone<Traits>
• CGAL::Shape_detection::Torus<Traits>

Shape Interface

• CGAL::Shape_detection::Shape_base<Traits>

Property Maps

• CGAL::Shape_detection::Plane_map<Traits>
• CGAL::Shape_detection::Point_to_shape_index_map<Traits>

Region Growing

Concepts

• NeighborQuery
• RegionType

Algorithm

• CGAL::Shape_detection::Region_growing<InputRange, NeighborQuery, RegionType, SeedMap>

Point Set

• CGAL::Shape_detection::Point_set::K_neighbor_query<GeomTraits, InputRange, PointMap>
• CGAL::Shape_detection::Point_set::Sphere_neighbor_query<GeomTraits, InputRange, PointMap>
• CGAL::Shape_detection::Point_set::Least_squares_line_fit_region<GeomTraits, InputRange, PointMap, NormalMap>
• CGAL::Shape_detection::Point_set::Least_squares_plane_fit_region<GeomTraits, InputRange, PointMap, NormalMap>
• CGAL::Shape_detection::Point_set::Least_squares_line_fit_sorting<GeomTraits, InputRange, NeighborQuery, PointMap>
• CGAL::Shape_detection::Point_set::Least_squares_plane_fit_sorting<GeomTraits, InputRange, NeighborQuery, PointMap>

Polygon Mesh

• CGAL::Shape_detection::Polygon_mesh::One_ring_neighbor_query<PolygonMesh, FaceRange>
• CGAL::Shape_detection::Polygon_mesh::Least_squares_plane_fit_region<GeomTraits, PolygonMesh, FaceRange, VertexToPointMap>
• CGAL::Shape_detection::Polygon_mesh::Least_squares_plane_fit_sorting<GeomTraits, PolygonMesh, NeighborQuery, FaceRange, VertexToPointMap>

Deprecated Components

• CGAL::Shape_detection::deprecated::Shape_detection_traits<GeomTraits, InputRange, PointMap, NormalMap>
• CGAL::Shape_detection::deprecated::Region_growing_depr<Traits>

Functions

• CGAL::regularize_planes()

Modules
	Region Growing
	Reference Manual for the Region Growing shape detection component.
	Efficient RANSAC
	Reference Manual for the Efficient RANSAC shape detection component.
	Deprecated
	Deprecated components.

Functions
template<typename PointRange , typename PointMap , typename PlaneRange , typename PlaneMap , typename IndexMap , typename Kernel >
void	CGAL::regularize_planes (const PointRange &points, PointMap point_map, PlaneRange &planes, PlaneMap plane_map, IndexMap index_map, const Kernel &, bool regularize_parallelism, bool regularize_orthogonality, bool regularize_coplanarity, bool regularize_axis_symmetry, double tolerance_angle=25.0, double tolerance_coplanarity=0.01, typename Kernel::Vector_3 symmetry_direction=typename Kernel::Vector_3(0.0, 0.0, 1.0))
	Given a set of detected planes with their corresponding inlier sets, this function enables to regularize the planes: More...

Function Documentation

regularize_planes()

template<typename PointRange , typename PointMap , typename PlaneRange , typename PlaneMap , typename IndexMap , typename Kernel >

void CGAL::regularize_planes	(	const PointRange &	points,
		PointMap	point_map,
		PlaneRange &	planes,
		PlaneMap	plane_map,
		IndexMap	index_map,
		const Kernel &	,
		bool	regularize_parallelism,
		bool	regularize_orthogonality,
		bool	regularize_coplanarity,
		bool	regularize_axis_symmetry,
		double	tolerance_angle = 25.0,
		double	tolerance_coplanarity = 0.01,
		typename Kernel::Vector_3	symmetry_direction = typename Kernel::Vector_3 (0.0, 0.0, 1.0)
	)

#include <CGAL/Regularization/regularize_planes.h>

Given a set of detected planes with their corresponding inlier sets, this function enables to regularize the planes:

• Planes near parallel can be made exactly parallel;
• Planes near orthogonal can be made exactly orthogonal;
• Planes parallel and near coplanar can be made exactly coplanar;
• Planes near 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 [3].

Template Parameters

PointRange	must be a model of ConstRange with points.
PointPMap	must be a model of ReadablePropertyMap with value type Kernel::Point_3. It can be omitted if the value type of the iterator of PointRange is convertible to Point_3<Kernel>.
PlaneRange	must be a model of Range with planes.
PlaneMap	must be a model of WritablePropertyMap with value type Kernel::Plane_3. It can be omitted if the value type of the iterator of PlaneRange is convertible to Plane_3<Kernel>.
IndexMap	must be a model of ReadablePropertyMap with value type int.
Kernel	must be a geometric traits class. It can be omitted and deduced automatically from the value type of PointMap.

Parameters

points	ConstRange of points
point_map	property map: value_type of typename PointRange::const_iterator -> Point_3
planes	range of planes
plane_map	property map: value_type of typename PlaneRange::iterator -> Plane_3
index_map	property map: index of point std::size_t -> index of plane int (-1 if the point is not assigned to a plane)
regularize_parallelism	select whether parallelism is regularized or not
regularize_orthogonality	select whether orthogonality is regularized or not
regularize_coplanarity	select whether coplanarity is regularized or not
regularize_axis_symmetry	select whether axis symmetry is regularized or not
tolerance_angle	tolerance of deviation between normal vectors of planes (in degrees) used for parallelism, orthogonality, and axis symmetry. Default value is 25 degrees.
tolerance_coplanarity	maximal distance between two parallel planes such that they are considered coplanar. Default value is 0.01.
symmetry_direction	chosen axis for symmetry regularization. Default value is the Z axis.

Examples:

Shape_detection/efficient_RANSAC_and_plane_regularization.cpp.