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 18 articles , 1 standard article )

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  1. Cholaquidis, Alejandro; Fraiman, Ricardo; Mordecki, Ernesto; Papalardo, Cecilia: Level set and drift estimation from a reflected Brownian motion with drift (2021)
  2. Hallin, Marc; del Barrio, Eustasio; Cuesta-Albertos, Juan; Matrán, Carlos: Distribution and quantile functions, ranks and signs in dimension (d): a measure transportation approach (2021)
  3. Cholaquidis, Alejandro; Cuevas, Antonio: Set estimation under biconvexity restrictions (2020)
  4. Arias-Castro, Ery; Pateiro-López, Beatriz; Rodríguez-Casal, Alberto: Minimax estimation of the volume of a set under the rolling ball condition (2019)
  5. Beggel, Laura; Kausler, Bernhard X.; Schiegg, Martin; Pfeiffer, Michael; Bischl, Bernd: Time series anomaly detection based on shapelet learning (2019)
  6. Davies, Tilman M.; Schofield, Matthew R.; Cornwall, Jon; Sheard, Philip W.: Modelling multilevel spatial behaviour in binary-mark muscle fibre configurations (2019)
  7. Cuevas, Antonio; Pateiro-López, Beatriz: Polynomial volume estimation and its applications (2018)
  8. Nagai, Toshimasa; Kamakura, Toshinari: Inference for the extent parameter of damage by tsunami with Poincaré cones (2018)
  9. Rodríguez-Casal, A.; Saavedra-Nieves, P.: A fully data-driven method for estimating the shape of a point cloud (2016)
  10. Moreno, Pablo G.; Artés-Rodríguez, Antonio; Teh, Yee Whye; Perez-Cruz, Fernando: Bayesian nonparametric crowdsourcing (2015)
  11. Cholaquidis, Alejandro; Cuevas, Antonio; Fraiman, Ricardo: On Poincaré cone property (2014)
  12. Cuevas, Antonio; Llop, Pamela; Pateiro-López, Beatriz: On the estimation of the medial axis and inner parallel body (2014)
  13. Delicado, Pedro; Hernández, Adolfo; Lugosi, Gábor: Data-based decision rules about the convexity of the support of a distribution (2014)
  14. 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) not zbMATH
  15. Berrendero, José R.; Cuevas, Antonio; Pateiro-López, Beatriz: Testing uniformity for the case of a planar unknown support (2012)
  16. Berrendero, José R.; Cuevas, Antonio; Pateiro-López, Beatriz: A multivariate uniformity test for the case of unknown support (2012)
  17. Cuevas, A.; Fraiman, R.; Pateiro-López, B.: On statistical properties of sets fulfilling rolling-type conditions (2012)
  18. Beatriz Pateiro-López; Alberto Rodríguez-Casal: Generalizing the Convex Hull of a Sample: The R Package alphahull (2010) not zbMATH