Nataraj Akkiraju -
Herbert Edelsbrunner -
Michael Facello -
Ping Fu - Ernst P. Mücke - Carlos Varela -
The concept of an -shape of a finite set of points in , with weights, is defined and illustrated. An -shape is a polytope which is not necessarily convex nor connected and can be derived from the (weighted) Delaunay triangulation of the point set, with a parameter controlling the desired level of detail. The set of all values leads to a descrete family of shapes capturing the intuitive notion of ``crude'' versus ``fine'' shapes of a point set.
Software that computes such shapes in and is available via anonymous ftp from: