Voronoi diagram (nonfiction): Difference between revisions

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* [[Centroidal Voronoi tessellation (nonfiction)]]
* [[Centroidal Voronoi tessellation (nonfiction)]]
* [[Delaunay triangulation (nonfiction)]] - a triangulation DT(P) such that no point in P is inside the circumcircle of any triangle in DT(P). Delaunay triangulations maximize the minimum angle of all the angles of the triangles in the triangulation; they tend to avoid sliver triangles.
* [[Lloyd's algorithm (nonfiction)]]
* [[Lloyd's algorithm (nonfiction)]]
* [[Mathematics (nonfiction)]]
* [[Mathematics (nonfiction)]]

Revision as of 13:19, 30 September 2018

Approximate Voronoi diagram of a set of points. Notice the blended colors in the fuzzy boundary of the Voronoi cells.

In mathematics, a Voronoi diagram is a partitioning of a plane into regions based on distance to points in a specific subset of the plane.

It is named after Georgy Voronoi, and is also called a Voronoi tessellation, a Voronoi decomposition, a Voronoi partition, or a Dirichlet tessellation (after Peter Gustav Lejeune Dirichlet).

Voronoi diagrams have practical and theoretical applications to a large number of fields, mainly in science and technology but also including visual art.

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