• Speaker: Prof Miguel Ángel Goberna Torrent, Departamento de Estadística e Investigación Operativa, University of Alicante
  • Title: Voronoi cells of arbitrary sets
  • Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle
  • Access Grid Venue: UniSA
  • Time and Date: 3:30 pm, Mon, 24th Jun 2013
  • Abstract:

    Given a set T of the Euclidean space, whose elements are called sites, and a particular site s, the Voronoi cell of s is the set formed by all points closer to s than to any other site. The Voronoi diagram of T is the family of Voronoi cells of all the elements of T. In this talk we show some applications of the Voronoi diagrams of finite and infinite sets and analyze direct and inverse problems concerning the cells. We also discuss the stability of the cells under different types of perturbations and the effect of assigning weights to the sites.

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