{"_id":"3552","type":"conference","page":"63 - 66","publication_status":"published","language":[{"iso":"eng"}],"status":"public","date_created":"2018-12-11T12:03:55Z","conference":{"name":"GCG: International Computational Geometry Software Workshop"},"author":[{"first_name":"Nataraj","last_name":"Akkiraju","full_name":"Akkiraju, Nataraj"},{"first_name":"Herbert","orcid":"0000-0002-9823-6833","last_name":"Edelsbrunner","full_name":"Edelsbrunner, Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Facello","first_name":"Michael","full_name":"Facello, Michael"},{"first_name":"Ping","last_name":"Fu","full_name":"Fu, Ping"},{"full_name":"Mücke, Ernst","first_name":"Ernst","last_name":"Mücke"},{"last_name":"Varela","first_name":"Carlos","full_name":"Varela, Carlos"}],"oa_version":"None","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:\r\n\r\nftp://ftp.ncsa.uiuc.edu/Visualization/Alpha-shape/  "}],"publist_id":"2833","date_updated":"2022-06-27T13:20:29Z","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","month":"09","year":"1995","article_processing_charge":"No","publisher":"Elsevier","day":"11","quality_controlled":"1","title":"Alpha shapes: definition and software","main_file_link":[{"url":"http://www.geom.uiuc.edu/software/cglist/GeomDir/shapes95def/"}],"extern":"1","date_published":"1995-09-11T00:00:00Z","citation":{"apa":"Akkiraju, N., Edelsbrunner, H., Facello, M., Fu, P., Mücke, E., &#38; Varela, C. (1995). Alpha shapes: definition and software (pp. 63–66). Presented at the GCG: International Computational Geometry Software Workshop, Elsevier.","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.","chicago":"Akkiraju, Nataraj, Herbert Edelsbrunner, Michael Facello, Ping Fu, Ernst Mücke, and Carlos Varela. “Alpha Shapes: Definition and Software,” 63–66. Elsevier, 1995.","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.","ama":"Akkiraju N, Edelsbrunner H, Facello M, Fu P, Mücke E, Varela C. Alpha shapes: definition and software. In: Elsevier; 1995:63-66.","short":"N. Akkiraju, H. Edelsbrunner, M. Facello, P. Fu, E. Mücke, C. Varela, in:, Elsevier, 1995, pp. 63–66.","mla":"Akkiraju, Nataraj, et al. <i>Alpha Shapes: Definition and Software</i>. Elsevier, 1995, pp. 63–66."}}