The concept AlphaShapeTraits_3 describes the requirements
for the geometric traits class
of the underlying Delaunay triangulation of a basic alpha shape.
In addition to the requirements described in the concept
DelaunayTriangulationTraits_3,
the geometric traits class of a
Delaunay triangulation plugged in a basic alpha shapes
provides the following.
Types
AlphaShapeTraits_3::NT
A number type compatible with the type used for
the points coordinate.
AlphaShapeTraits_3::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,
and also the squared radius of the smallest circumscribing sphere
to a single point p0 (which is NT(0)).
