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Concept information

mathematical technique > mathematical model > tesselation > Voronoi tesselation

Terme préférentiel

Voronoi tesselation  

Définition

  • A Voronoi diagram, also known as a Dirichlet tesselation, is a partitioning of space into cells, each of which consists of the points closer to one particular object than to any others. More specifically, in two dimensions a Voronoi diagram consists of breaking up a plane containing n points into n convex polygons in such a way that each polygon contains exactly one point and every point in a given polygon is closer to its central point than to any other. Voronoi diagrams, their boundaries (known as medial axes) and their duals (called Delaunay triangulations) have been reinvented, given different names, generalized, studied, and applied many times over in many different fields. Voronoi diagrams tend to be involved in situations where a space should be partitioned into "spheres of influence", examples of which include models of crystal and cell growth and protein molecule volume analysis. (Encyclopedia of Science, by David Darling, https://www.daviddarling.info/encyclopedia/V/Voronoi_diagram.html)

Concept générique

Synonyme(s)

  • Dirichlet tesselation
  • Voronoi decomposition
  • Voronoi diagram
  • Voronoi partition

Traductions

  • mosaïque de Voronoï

    français

  • décomposition de Voronoï
  • diagramme de Voronoï
  • partition de Voronoï
  • tesselation de Dirichlet

URI

http://data.loterre.fr/ark:/67375/MDL-SF20PW9C-S

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