#include <Concepts/AlphaShapeTraits_3.h>

Definition

The concept AlphaShapeTraits_3 describes the requirements for the geometric traits class of the underlying Delaunay triangulation of a basic alpha shape.

Refines: DelaunayTriangulationTraits_3 if the underlying triangulation of the alpha shape is a Delaunay triangulation
: Periodic_3DelaunayTriangulationTraits_3 if the underlying triangulation of the alpha shape is a periodic Delaunay triangulation

Has models
: All models of Kernel

See also: CGAL::Exact_predicates_inexact_constructions_kernel (recommended kernel)

Types
typedef unspecified_type	FT
	A number type compatible with the type used for the points coordinate.

typedef unspecified_type	Compute_squared_radius_3
	An object constructor able to compute:

Creation
	AlphaShapeTraits_3 ()
	Default constructor.

Access Functions
Compute_squared_radius_3	compute_squared_radius_3_object ()

Member Typedef Documentation

◆ Compute_squared_radius_3

typedef unspecified_type AlphaShapeTraits_3::Compute_squared_radius_3

An object constructor able to compute:

the squared radius of the smallest circumscribing sphere of 4 points p0, p1, p2, p3,
the squared radius of the smallest circumscribing sphere of 3 points p0, p1, p2,
the squared radius of the smallest circumscribing sphere of 2 points p0, p1,
the squared radius of the smallest circumscribing sphere to a single point p0 (which is FT(0)).

◆ FT

typedef unspecified_type AlphaShapeTraits_3::FT

A number type compatible with the type used for the points coordinate.

Constructor & Destructor Documentation

◆ AlphaShapeTraits_3()

AlphaShapeTraits_3::AlphaShapeTraits_3 ( )

Default constructor.

Member Function Documentation

◆ compute_squared_radius_3_object()

Compute_squared_radius_3 AlphaShapeTraits_3::compute_squared_radius_3_object ( )