R implementation of a polyhedral approximation to a 3D set of points using the α-shape

This 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. Be...

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Detalles Bibliográficos
Autores: Lafarge, Thomas, Pateiro López, Beatriz, Possolo, Antonio, Dunkers, Joy P.
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/13957
Acceso en línea:http://hdl.handle.net/10347/13957
Access Level:acceso abierto
Palabra clave:Materias::Investigación::12 Matemáticas::1209 Estadística
Descripción
Sumario:This 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 others