[{"abstract":[{"lang":"eng","text":"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:\n\nftp://ftp.ncsa.uiuc.edu/Visualization/Alpha-shape/ "}],"date_updated":"2019-04-26T07:22:30Z","page":"63 - 66","_id":"3552","date_published":"1995-09-11T00:00:00Z","author":[{"first_name":"Nataraj","full_name":"Akkiraju, Nataraj","last_name":"Akkiraju"},{"id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","last_name":"Edelsbrunner","full_name":"Herbert Edelsbrunner","orcid":"0000-0002-9823-6833","first_name":"Herbert"},{"first_name":"Michael","full_name":"Facello, Michael","last_name":"Facello"},{"full_name":"Fu, Ping","last_name":"Fu","first_name":"Ping"},{"last_name":"Mücke","full_name":"Mücke, Ernst P","first_name":"Ernst"},{"full_name":"Varela, Carlos","last_name":"Varela","first_name":"Carlos"}],"day":"11","quality_controlled":0,"publist_id":"2833","_version":13,"status":"public","main_file_link":[{"open_access":"0","url":"http://www.cs.duke.edu/~edels/Papers/1995-P-06-AlphaShapesSoftware.pdf"}],"publication_status":"published","month":"09","title":"Alpha shapes: definition and software","conference":{"name":"GCG: International Computational Geometry Software Workshop"},"year":"1995","date_created":"2018-12-11T12:03:55Z","type":"conference","citation":{"ama":"Akkiraju N, Edelsbrunner H, Facello M, Fu P, Mücke E, Varela C. Alpha shapes: definition and software. In: Elsevier; 1995:63-66.","apa":"Akkiraju, N., Edelsbrunner, H., Facello, M., Fu, P., Mücke, E., & Varela, C. (1995). Alpha shapes: definition and software (pp. 63–66). Presented at the GCG: International Computational Geometry Software Workshop, Elsevier.","ieee":"N. Akkiraju, H. Edelsbrunner, M. Facello, P. Fu, E. Mücke, and C. Varela, “Alpha shapes: definition and software,” presented at the GCG: International Computational Geometry Software Workshop, 1995, pp. 63–66.","ista":"Akkiraju N, Edelsbrunner H, Facello M, Fu P, Mücke E, Varela C. 1995. Alpha shapes: definition and software. GCG: International Computational Geometry Software Workshop 63–66.","short":"N. Akkiraju, H. Edelsbrunner, M. Facello, P. Fu, E. Mücke, C. Varela, in:, Elsevier, 1995, pp. 63–66.","mla":"Akkiraju, Nataraj, et al. *Alpha Shapes: Definition and Software*. Elsevier, 1995, pp. 63–66.","chicago":"Akkiraju, Nataraj, Herbert Edelsbrunner, Michael Facello, Ping Fu, Ernst Mücke, and Carlos Varela. “Alpha Shapes: Definition and Software,” 63–66. Elsevier, 1995."},"extern":1,"publisher":"Elsevier"}]