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Editors-in-chief: Bettina Grün, Torsten Hothorn, Edzer Pebesma, Achim Zeileis    ISSN 1548-7660; CODEN JSSOBK
R Implementation of a Polyhedral Approximation to a 3D Set of Points Using the α-Shape | Lafarge | Journal of Statistical Software
Authors: Thomas Lafarge, Beatriz Pateiro-López, Antonio Possolo, Joy Dunkers
Title: R Implementation of a Polyhedral Approximation to a 3D Set of Points Using the α-Shape
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.

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Paper: R Implementation of a Polyhedral Approximation to a 3D Set of Points Using the α-Shape     Download PDF (Downloads: 2503)
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alphashape3d_1.0-4.tar.gz: R source package Download (Downloads: 247; 15KB)
v56i04.R: R example code from the paper Download (Downloads: 256; 3KB)

DOI: 10.18637/jss.v056.i04

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Paper: Creative Commons Attribution 3.0 Unported License
Code: GNU General Public License (at least one of version 2 or version 3) or a GPL-compatible license.