Alpha shapes: definition and software
Akkiraju, Nataraj
Herbert Edelsbrunner
Facello, Michael
Fu, Ping
Mücke, Ernst P
Varela, Carlos
The concept of an α-shape of a finite set of points in R^d, with weights, is defined and illustrated. An α-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 α 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 R^2 and R^3 is available via anonymous ftp from:
ftp://ftp.ncsa.uiuc.edu/Visualization/Alpha-shape/
Elsevier
1995
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https://research-explorer.app.ist.ac.at/record/3552
Akkiraju N, Edelsbrunner H, Facello M, Fu P, Mücke E, Varela C. Alpha shapes: definition and software. In: Elsevier; 1995:63-66.
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