CGAL 6.0 - 3D Alpha Shapes
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AlphaShapeTraits_3 Concept Reference

Definition

The concept AlphaShapeTraits_3 describes the requirements for the geometric traits class of the underlying Delaunay triangulation of a basic alpha shape.

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 FT
 A number type compatible with the type used for the points coordinate.
 
typedef unspecified_type Compute_squared_radius_3
 An object constructor able to compute:
 

Creation

 AlphaShapeTraits_3 ()
 Default constructor.
 

Access Functions

Compute_squared_radius_3 compute_squared_radius_3_object ()
 

Member Typedef Documentation

◆ Compute_squared_radius_3

An object constructor able to compute:

  • the squared radius of the smallest circumscribing sphere of 4 points p0, p1, p2, p3,
  • the squared radius of the smallest circumscribing sphere of 3 points p0, p1, p2,
  • the squared radius of the smallest circumscribing sphere of 2 points p0, p1,
  • the squared radius of the smallest circumscribing sphere to a single point p0 (which is FT(0)).