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Generalizing the Convex Hull of a Sample: The R Package alphahull

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  • Pateiro-López, Beatriz
  • Rodríguez-Casal, Alberto

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.

Suggested Citation

  • Pateiro-López, Beatriz & Rodríguez-Casal, Alberto, 2010. "Generalizing the Convex Hull of a Sample: The R Package alphahull," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 34(i05).
    • Handle: RePEc:jss:jstsof:v:034:i05
    DOI: http://hdl.handle.net/10.18637/jss.v034.i05
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