FixedAlphaShapeTraits_3 Concept Reference

Definition

The concept FixedAlphaShapeTraits_3 describes the requirements for the geometric traits class of the underlying Delaunay triangulation of a basic alpha shape with a fixed value alpha.

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	Comparison_result
	CGAL::Comparison_result or Uncertain<CGAL::Comparison_result>
typedef unspecified_type	Compare_squared_radius_3
	An object constructor able to compare the squared radius of the smallest circumscribing sphere of either four, three, two or one point(s) with a given value of alpha. More...

Creation
	FixedAlphaShapeTraits_3 ()
	Default constructor.

Access Functions
Compare_squared_radius_3	compare_squared_radius_3_object ()

Member Typedef Documentation

Compare_squared_radius_3

typedef unspecified_type FixedAlphaShapeTraits_3::Compare_squared_radius_3

An object constructor able to compare the squared radius of the smallest circumscribing sphere of either four, three, two or one point(s) with a given value of alpha.

It provides:

• Comparison_result operator()(Point_3,Point_3,Point_3,Point_3)
• Comparison_result operator()(Point_3,Point_3,Point_3)
• Comparison_result operator()(Point_3,Point_3)
• Comparison_result operator()(Point_3)