CGAL 5.5.2 - 3D Alpha Shapes
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

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 )