Delaunay simplexes: Difference between revisions

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[[Image:Delaunay.png|thumb|An example of  Delaunay triangulation in two-dimensions]]
[[Image:Delaunay.png|thumb|An example of  Delaunay triangulation in two-dimensions]]
A '''Delaunay triangulation''' is the dual of the [[Voronoi cells |Voronoi diagram]]. Delaunay triangulation was developed by Борис Николаевич Делоне.
A '''Delaunay simplex''' is the dual of the [[Voronoi cells |Voronoi diagram]]. Delaunay simplexes were developed by Борис Николаевич Делоне. In two-dimensions <math>({\mathbb R}^2)</math> it is more commonly known as ''Delaunay triangulation'', and in three-dimensions <math>({\mathbb R}^3)</math>, as ''Delaunay tetrahedralisation''.
==References==
==References==
#Математические основы структурного анализа кристаллов (совместно с А.Д.Александровым и Н.Падуровым), Москва, Матем. литература, 1934 г.
#Математические основы структурного анализа кристаллов (совместно с А.Д.Александровым и Н.Падуровым), Москва, Матем. литература, 1934 г.

Revision as of 14:53, 7 September 2007

An example of Delaunay triangulation in two-dimensions

A Delaunay simplex is the dual of the Voronoi diagram. Delaunay simplexes were developed by Борис Николаевич Делоне. In two-dimensions it is more commonly known as Delaunay triangulation, and in three-dimensions , as Delaunay tetrahedralisation.

References

  1. Математические основы структурного анализа кристаллов (совместно с А.Д.Александровым и Н.Падуровым), Москва, Матем. литература, 1934 г.