Advancing Front Surface Reconstruction Reference

Tran Kai Frank Da and David Cohen-Steiner

This package provides a greedy algorithm for surface reconstruction from an unorganized point set. Starting from a seed facet, a piecewise linear surface is grown by adding Delaunay triangles one by one. The most plausible triangles are added first, in a way that avoids the appearance of topological singularities.

Introduced in: CGAL 4.7
Depends on: 3D Triangulations
BibTeX: cgal:dc-afsr-23b
License: GPL

Classified Reference Pages

Concepts

• AdvancingFrontSurfaceReconstructionTraits_3

Classes

• CGAL::Advancing_front_surface_reconstruction
• CGAL::Advancing_front_surface_reconstruction_vertex_base_3
• CGAL::Advancing_front_surface_reconstruction_cell_base_3

Functions

• CGAL::advancing_front_surface_reconstruction()

Modules
	Concepts

Classes
class	AdvancingFrontSurfaceReconstructionTraits_3
	The concept AdvancingFrontSurfaceReconstructionTraits_3 describes the requirements for the the geometric traits of the class CGAL::Delaunay_triangulation_3 used in the class CGAL::Advancing_front_surface_reconstruction. It defines the geometric objects (points, segments...) forming the triangulation together with a few geometric predicates and constructions on these objects. More...
class	CGAL::Advancing_front_surface_reconstruction< Dt, P >
	The class Advancing_front_surface_reconstruction enables advanced users to provide the unstructured point cloud in a 3D Delaunay triangulation. More...
class	CGAL::Advancing_front_surface_reconstruction_cell_base_3< Traits, Cb >
	The class Advancing_front_surface_reconstruction_cell_base_3 is the default cell type for the class Advancing_front_surface_reconstruction. More...
class	CGAL::Advancing_front_surface_reconstruction_vertex_base_3< Traits, Vb >
	The class Advancing_front_surface_reconstruction_vertex_base_3 is the default vertex type for the class Advancing_front_surface_reconstruction. More...

Functions
template<typename PointInputIterator , typename IndicesOutputIterator >
IndicesOutputIterator	CGAL::advancing_front_surface_reconstruction (PointInputIterator b, PointInputIterator e, IndicesOutputIterator out, double radius_ratio_bound=5, double beta=0.52)
	For a sequence of points computes a sequence of index triples describing the faces of the reconstructed surface. More...
template<typename PointInputIterator , typename IndicesOutputIterator , typename Priority >
IndicesOutputIterator	CGAL::advancing_front_surface_reconstruction (PointInputIterator b, PointInputIterator e, IndicesOutputIterator out, Priority priority, double radius_ratio_bound=5, double beta=0.52)
	For a sequence of points computes a sequence of index triples describing the faces of the reconstructed surface. More...

Function Documentation

advancing_front_surface_reconstruction() [1/2]

template<typename PointInputIterator , typename IndicesOutputIterator >

IndicesOutputIterator CGAL::advancing_front_surface_reconstruction	(	PointInputIterator	b,
		PointInputIterator	e,
		IndicesOutputIterator	out,
		double	radius_ratio_bound = 5,
		double	beta = 0.52
	)

#include <CGAL/Advancing_front_surface_reconstruction.h>

For a sequence of points computes a sequence of index triples describing the faces of the reconstructed surface.

Template Parameters

PointInputIterator	must be an input iterator with 3D points as value type. This point type must be convertible to Exact_predicates_inexact_constructions_kernel::Point_3 with the Cartesian_converter.
IndicesOutputIterator	must be an output iterator to which std::array<std::size_t, 3> can be assigned.

Parameters

b	iterator on the first point of the sequence
e	past the end iterator of the point sequence
out	output iterator
radius_ratio_bound	candidates incident to surface triangles which are not in the beta-wedge are discarded, if the ratio of their radius and the radius of the surface triangle is larger than radius_ratio_bound. Described in Section Dealing with Multiple Components, Boundaries and Sharp Edges.
beta	half the angle of the wedge in which only the radius of triangles counts for the plausibility of candidates. Described in Section Plausibility of a Candidate Triangle.

Examples:

Advancing_front_surface_reconstruction/reconstruction_fct.cpp, and Advancing_front_surface_reconstruction/reconstruction_surface_mesh.cpp.

advancing_front_surface_reconstruction() [2/2]

template<typename PointInputIterator , typename IndicesOutputIterator , typename Priority >

IndicesOutputIterator CGAL::advancing_front_surface_reconstruction	(	PointInputIterator	b,
		PointInputIterator	e,
		IndicesOutputIterator	out,
		Priority	priority,
		double	radius_ratio_bound = 5,
		double	beta = 0.52
	)

#include <CGAL/Advancing_front_surface_reconstruction.h>

For a sequence of points computes a sequence of index triples describing the faces of the reconstructed surface.

Template Parameters

PointInputIterator	must be an input iterator with 3D points as value type. This point type must be convertible to Exact_predicates_inexact_constructions_kernel::Point_3 with the Cartesian_converter.
IndicesOutputIterator	must be an output iterator to which std::array<std::size_t, 3> can be assigned.
Priority	must be a functor with double operator()(Advancing_front_surface_reconstruction::Cell_handle,int) returning the priority of the facet (Cell_handle,int).

Parameters

b	iterator on the first point of the sequence
e	past the end iterator of the point sequence
out	output iterator
priority	enables the user to choose how candidate triangles are prioritized.
radius_ratio_bound	candidates incident to surface triangles which are not in the beta-wedge are discarded, if the ratio of their radius and the radius of the surface triangle is larger than radius_ratio_bound. Described in Section Dealing with Multiple Components, Boundaries and Sharp Edges
beta	half the angle of the wedge in which only the radius of triangles counts for the plausibility of candidates. Described in Section Plausibility of a Candidate Triangle