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.
 
A number type compatible with the type used for
the points coordinates.
 
 
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.

 
default constructor.

 

CGAL::Weighted_alpha_shape_euclidean_traits_3<K>,