|Authors:||Beatriz Pateiro-López, Alberto Rodríguez-Casal|
|Title:||Generalizing the Convex Hull of a Sample: The R Package alphahull|
|Abstract:||This paper presents the R package alphahull which implements the α-convex hull and the α-shape of a finite set of points in the plane. These geometric structures provide an informative overview of the shape and properties of the point set. Unlike the convex hull, the α-convex hull and the α-shape are able to reconstruct non-convex sets. This flexibility make them specially useful in set estimation. Since the implementation is based on the intimate relation of theses constructs with Delaunay triangulations, the R package alphahull also includes functions to compute Voronoi and Delaunay tesselations. The usefulness of the package is illustrated with two small simulation studies on boundary length estimation.|
Page views:: 9026. Submitted: 2009-04-03. Published: 2010-04-16.
Generalizing the Convex Hull of a Sample: The R Package alphahull
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