AlphaShapeTraits_3 Concept Reference

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: More...

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)).