CGAL 5.1.3  3D Alpha Shapes

The concept WeightedAlphaShapeTraits_3
describes the requirements for the geometric traits class of the underlying regular triangulation of a weighted alpha shape.
In addition to the requirements described in the concept RegularTriangulationTraits_3
, the geometric traits class of a regular triangulation plugged in a basic alpha shapes provides the following.
Kernel
.CGAL::Exact_predicates_inexact_constructions_kernel
(recommended kernel) Types  
typedef unspecified_type  FT 
A number type compatible with the type used for the points coordinates.  
typedef unspecified_type  Compute_squared_radius_smallest_orthogonal_sphere_3 
An object constructor able to compute the squared radius of the smallest sphere orthogonal to four weighted points p0, p1, p2, p3 , and the squared radius of the smallest sphere orthogonal to three weighted points p0, p1, p2 , and the squared radius of smallest sphere orthogonal to two weighted points p0, p1 , and the squared radius of the smallest sphere orthogonal to a single point p0 .  
Creation  
WeightedAlphaShapeTraits_3 ()  
default constructor.  
Access Functions  
Compute_squared_radius_smallest_orthogonal_sphere_3  compute_squared_radius_smallest_orthogonal_sphere_3_object () 