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R Implementation of a Polyhedral Approximation to a 3D Set of Points Using the α-Shape

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  • Lafarge, Thomas
  • Pateiro-López, Beatriz
  • Possolo, Antonio
  • Dunkers, Joy

Abstract

This work presents the implementation in R of the α-shape of a finite set of points in the three-dimensional space R3. This geometric structure generalizes the convex hull and allows to recover the shape of non-convex and even non-connected sets in 3D, given a random sample of points taken into it. Besides the computation of the α-shape, the R package alphashape3d provides users with tools to facilitate the three-dimensional graphical visu- alization of the estimated set as well as the computation of important characteristics such as the connected components or the volume, among others.

Suggested Citation

  • Lafarge, Thomas & Pateiro-López, Beatriz & Possolo, Antonio & Dunkers, Joy, 2014. "R Implementation of a Polyhedral Approximation to a 3D Set of Points Using the α-Shape," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 56(i04).
    • Handle: RePEc:jss:jstsof:v:056:i04
    DOI: http://hdl.handle.net/10.18637/jss.v056.i04
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