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Delaunay triangulation

A triangulation T of Rn+1 is a subdivision of Rn+1 into (n+1)-simplices such that:

  1. any two simplices in T intersect in a common face or not at all;
  2. any bounded set in Rn+1 intersects only finitely many simplices in T.

A Delaunay triangulation is the dual of a Voronoi tesselation.

Another, more descriptive definition is:

For a set P of points in the (n-dimensional) Euclidean space, the Delaunay triangulation is the unique triangulation DT(P) of P such that no point in P is inside the circum-hypersphere of any triangle in DT(P).

As it stands, this article is an excruciatingly short stub article -- please fix it.

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Delaunay triangulation".