r implementation of a polyhedral approximation to a 3d set of points using the ?-shape

r implementation of a polyhedral approximation to a 3d set of points using the ?-shape

;Thomas Lafarge;Beatriz Pateiro-López;Antonio Possolo;Joy Dunkers
open geospatial data, software and standards 2014 Vol. 56 pp. 1-19
101
lafarge2014journalr

Abstract

This work presents the implementation in R of the ?-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 ran- dom sample of points taken into it. Besides the computation of the ?-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.

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