|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.|
Page views:: 2367. Submitted: 2012-07-06. Published: 2014-01-25.
R Implementation of a Polyhedral Approximation to a 3D Set of Points Using the α-Shape
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