NIST logo

Publication Citation: R implementation of a polyhedral approximation to a 3D set of points using the alpha-shape

NIST Authors in Bold

Author(s): Thomas V. Lafarge; Beatriz Pateiro Lopez; Antonio M. Possolo; Joy P. Dunkers;
Title: R implementation of a polyhedral approximation to a 3D set of points using the alpha-shape
Published: January 01, 2014
Abstract: This work describes the implementation in R of the alpha-shape of a finite set of points in three-dimensional space. This geometric construct generalizes the convex hull and estimates the shape of non-convex and even non-connected sets in 3D, given random samples of points drawn from them. Besides the computation of the alpha-shape, the R package alphashape3d provides users with tools to facilitate the three-dimensional graphical visualization of the estimated set, as well as the computation of geometrical attributes that include the connected components, surface area, volume, porosity, and connectivity, among others.
Citation: Journal of Statistical Software
Keywords: Shape metrology; convex hull; set estimation; polymeric scaffold.
Research Areas: Statistics
PDF version: PDF Document Click here to retrieve PDF version of paper (2MB)