American Mathematical Society :: Feature Column - Voronoi Diagrams and a Day at the Beach
Introduction Suppose that you live in a desert where the only sources of water are a few springs scattered here and there. For each spring, you would like to determine the locations nearest that spring. The result could be a map, like the one shown here, in which the terrain is divided into regions of locations nearest the various springs. Maps like this appear frequently in various applications a
Voronoi diagram - Wikipedia
20 points and their Voronoi cells (larger version below) In mathematics, a Voronoi diagram is a partition of a plane into regions close to each of a given set of objects. It can be classified also as a tessellation. In the simplest case, these objects are just finitely many points in the plane (called seeds, sites, or generators). For each seed there is a corresponding region, called a Voronoi cel
Fortune's algorithm - Wikipedia
Fortune's algorithm animation Fortune's algorithm is a sweep line algorithm for generating a Voronoi diagram from a set of points in a plane using O(n log n) time and O(n) space.[1][2] It was originally published by Steven Fortune in 1986 in his paper "A sweepline algorithm for Voronoi diagrams."[3] The algorithm maintains both a sweep line and a beach line, which both move through the plane as th
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all manner of distractions » Blog Archive » Voronoi and Magnetism
