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 ...

Centroidal Voronoi tessellation (CVT) represents a unique configuration of Voronoi diagrams in which each generating point is also the centre of mass of the corresponding cell. This approach has ...

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 ...

A centroidal Voronoi tessellation is a Voronoi tessellation whose generating points are the centroids (centers of mass) of the corresponding Voronoi regions. We give some applications of such ...

This is a preview. Log in through your library . Abstract We consider facility location problems where the demand is continuously and uniformly distributed over a convex polygon with m vertices in the ...