Created: 2014-05-19 17:14
Updated: 2018-05-01 14:26
License: gpl-3.0


The package alphashape3d presents the implementation in R of the alpha-shape of a finite set of points in the three-dimensional space. 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 alpha-shape, the package alphashape3d provides users with functions to compute the volume of the alpha-shape, identify the connected components and facilitate the three-dimensional graphical visualization of the estimated set.

To install:

  • the latest released version from CRAN: install.packages("alphashape3d")
  • the latest development version without vignette: install_github("tlafarge/alphashape3d",build_vignettes=FALSE) (require "devtools")
  • the latest development version with vignette: install_github("tlafarge/alphashape3d",build_vignettes=TRUE) (require "devtools" "knitr" and "alphahull")



  • GPL-3
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