The Voronoi diagram, or Thiessen Polygon maps, or Dirichlet tessellation, is formed when a plane is partitioned into polygons, and each polygon encompasses one generating point. In other words, in a ...

We frequently need to find the nearest hospital, surgery or supermarket. A map divided into cells, each cell covering the region closest to a particular centre, can assist us in our quest. Such a map ...

I have a final in computational geometry tomorrow and I am having some trouble understanding the construction of Voronoi diagrams that do not use the traditional Euclidian distance for a metric. In ...

We consider the Voronoi diagram generated by n independent and identically distributed ℝd-valued random variables with an arbitrary underlying probability density function f on ℝd, and analyze the ...