FixedWeightedAlphaShapeTraits_3 Concept Reference

Definition

The concept FixedWeightedAlphaShapeTraits_3 describes the requirements for the geometric traits class of the underlying regular triangulation of a weighted alpha shape with fixed alpha value.

Refines

RegularTriangulationTraits_3 if the underlying triangulation of the alpha shape is a regular triangulation

Periodic_3RegularTriangulationTraits_3 if the underlying triangulation of the alpha shape is a periodic regular 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_weighted_squared_radius_3
	An object constructor able to compare the squared radius of the smallest sphere orthogonal to either four, three, two or one weighted point(s) to a given value of alpha. More...

Creation
	FixedWeightedAlphaShapeTraits_3 ()
	default constructor.

Access Functions
Compare_weighted_squared_radius_3	compare_weighted_squared_radius_3_object ()

Member Typedef Documentation

Compare_weighted_squared_radius_3

typedef unspecified_type FixedWeightedAlphaShapeTraits_3::Compare_weighted_squared_radius_3

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

It provides:

• Comparison_result operator()(Weighted_point_3 ,Weighted_point_3 ,Weighted_point_3 ,Weighted_point_3 )
• Comparison_result operator()(Weighted_point_3 ,Weighted_point_3 ,Weighted_point_3 )
• Comparison_result operator()(Weighted_point_3 ,Weighted_point_3 )
• Comparison_result operator()(Weighted_point_3 )