R package alphahull: Generalization of the convex hull of a sample of points in the plane. This package computes the alpha-shape and alpha-convex hull of a given sample of points in the plane. The concepts of alpha-shape and alpha-convex hull generalize the definition of the convex hull of a finite set of points. The programming is based on the duality between the Voronoi diagram and Delaunay triangulation. The package also includes a function that returns the Delaunay mesh of a given sample of points and its dual Voronoi diagram in one single object.

References in zbMATH (referenced in 11 articles , 1 standard article )

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  1. Cuevas, Antonio; Pateiro-López, Beatriz: Polynomial volume estimation and its applications (2018)
  2. Rodríguez-Casal, A.; Saavedra-Nieves, P.: A fully data-driven method for estimating the shape of a point cloud (2016)
  3. Moreno, Pablo G.; Artés-Rodríguez, Antonio; Teh, Yee Whye; Perez-Cruz, Fernando: Bayesian nonparametric crowdsourcing (2015)
  4. Cholaquidis, Alejandro; Cuevas, Antonio; Fraiman, Ricardo: On Poincaré cone property (2014)
  5. Cuevas, Antonio; Llop, Pamela; Pateiro-López, Beatriz: On the estimation of the medial axis and inner parallel body (2014)
  6. Delicado, Pedro; Hernández, Adolfo; Lugosi, Gábor: Data-based decision rules about the convexity of the support of a distribution (2014)
  7. Thomas Lafarge; Beatriz Pateiro-López; Antonio Possolo; Joy Dunkers: R Implementation of a Polyhedral Approximation to a 3D Set of Points Using the α-Shape (2014)
  8. Berrendero, José R.; Cuevas, Antonio; Pateiro-López, Beatriz: A multivariate uniformity test for the case of unknown support (2012)
  9. Berrendero, José R.; Cuevas, Antonio; Pateiro-López, Beatriz: Testing uniformity for the case of a planar unknown support (2012)
  10. Cuevas, A.; Fraiman, R.; Pateiro-López, B.: On statistical properties of sets fulfilling rolling-type conditions (2012)
  11. Beatriz Pateiro-López; Alberto Rodríguez-Casal: Generalizing the Convex Hull of a Sample: The R Package alphahull (2010)