RImplementation of a Polyhedral Approximation to a 3D Set of Points Using the<a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mrow><a:mi>α</a:mi></a:mrow></a:math>-Shape

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.