CGAL 5.5.2 - 3D Alpha Shapes
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

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)