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  • 标题:Generalizing the Convex Hull of a Sample: The R Package alphahull
  • 作者:Beatriz Pateiro-López ; Alberto Rodríguez-Casal
  • 期刊名称:Journal of Statistical Software
  • 印刷版ISSN:1548-7660
  • 电子版ISSN:1548-7660
  • 出版年度:2010
  • 卷号:34
  • 期号:1
  • 页码:1-28
  • 语种:English
  • 出版社:University of California, Los Angeles
  • 摘要: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.
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