conference paper published yes Nataraj Akkiraju author Herbert Edelsbrunner author 3FB178DA-F248-11E8-B48F-1D18A9856A870000-0002-9823-6833 Michael Facello author Ping Fu author Ernst Mücke author Carlos Varela author GCG: International Computational Geometry Software Workshop 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/ Elsevier1995 eng 63 - 66 yes 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. Akkiraju N, Edelsbrunner H, Facello M, Fu P, Mücke E, Varela C. Alpha shapes: definition and software. In: Elsevier; 1995:63-66. Akkiraju, Nataraj, Herbert Edelsbrunner, Michael Facello, Ping Fu, Ernst Mücke, and Carlos Varela. “Alpha Shapes: Definition and Software,” 63–66. Elsevier, 1995. 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. 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. Akkiraju, Nataraj, et al. <i>Alpha Shapes: Definition and Software</i>. Elsevier, 1995, pp. 63–66. N. Akkiraju, H. Edelsbrunner, M. Facello, P. Fu, E. Mücke, C. Varela, in:, Elsevier, 1995, pp. 63–66. 35522018-12-11T12:03:55Z2022-06-27T13:20:29Z