A tessellation that divides a region into n subregions, one for each measurement point, with the jth subregion consisting of all points in the region that are nearer to the jth measurement point than to any other .
Dirichlet tessellation. The tessellation is defined by the locations of 22 rain-gauges in the Bolton area, England.
The Dirichlet tessellation has been rediscovered many times. Other names include Voronoi polygons and Thiessen polygons. Every edge of a Dirichlet subregion separates two of the original measurement points. Joining each such pair produces a new tessellation in which the subregions are Delaunay triangles.
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