Lafarge, ThomasPateiro López, BeatrizPossolo, AntonioDunkers, Joy P.2016-03-162016-03-162014-01Lafarge, T., Pateiro-López, B., Possolo, A., Dunkers, Joy P. (2014). R implementation of a polyhedral approximation to a 3D set of points using the α-shape. "Journal of Statistical Software", 56, 4 [doi: 10.18637/jss.v056.i04]1548-7660http://hdl.handle.net/10347/13957This work presents the implementation in R of the α-shape of a nite 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 visualization of the estimated set as well as the computation of important characteristics such as the connected components or the volume, among othersengAttribution 3.0 Unported (CC BY 3.0)http://creativecommons.org/licenses/by/3.0/Set estimation3D surface reconstruction-convexity-shapeRMaterias::Investigación::12 Matemáticas::1209 Estadísticajournal article10.18637/jss.v056.i04open access