#include <Concepts/WeightedAlphaShapeTraits_3.h>

Definition

The concept WeightedAlphaShapeTraits_3 describes the requirements for the geometric traits class of the underlying regular triangulation of a weighted alpha shape.

Refines:: RegularTriangulationTraits_3

In addition to the requirements described in the concept RegularTriangulationTraits_3, the geometric traits class of a regular triangulation plugged in a basic alpha shapes provides the following.

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 coordinates. More...

typedef unspecified_type	Compute_squared_radius_smallest_orthogonal_sphere_3
	An object constructor able to compute the squared radius of the smallest sphere orthogonal to four weighted points `p0, p1, p2, p3`, and the squared radius of the smallest sphere orthogonal to three weighted points `p0, p1, p2`, and the squared radius of smallest sphere orthogonal to two weighted points `p0, p1`, and the squared radius of the smallest sphere orthogonal to a single point `p0`. More...

Creation
	WeightedAlphaShapeTraits_3 ()
	default constructor. More...

Access Functions
Compute_squared_radius_smallest_orthogonal_sphere_3	compute_squared_radius_smallest_orthogonal_sphere_3_object ()

Member Typedef Documentation

◆ Compute_squared_radius_smallest_orthogonal_sphere_3

typedef unspecified_type WeightedAlphaShapeTraits_3::Compute_squared_radius_smallest_orthogonal_sphere_3

An object constructor able to compute the squared radius of the smallest sphere orthogonal to four weighted points p0, p1, p2, p3, and the squared radius of the smallest sphere orthogonal to three weighted points p0, p1, p2, and the squared radius of smallest sphere orthogonal to two weighted points p0, p1, and the squared radius of the smallest sphere orthogonal to a single point p0.

◆ FT

typedef unspecified_type WeightedAlphaShapeTraits_3::FT

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

Constructor & Destructor Documentation

◆ WeightedAlphaShapeTraits_3()

WeightedAlphaShapeTraits_3::WeightedAlphaShapeTraits_3 ( )

default constructor.

Member Function Documentation

◆ compute_squared_radius_smallest_orthogonal_sphere_3_object()

Compute_squared_radius_smallest_orthogonal_sphere_3 WeightedAlphaShapeTraits_3::compute_squared_radius_smallest_orthogonal_sphere_3_object ( )