voronoi diagram wikipedia the encyclopedia

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Voronoi diagram 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. That set of points (called seeds, sites, or generators) is specified beforehand, and for each seed there is a corresponding region consisting of all points closer to that seed than to any other. Voronoi diagram , the free encyclopedia From , the free encyclopedia. The Voronoi diagram with these cells is also called the medial axis. Even when the objects are line segments, the Voronoi cells are not bounded by straight lines. The medial axis is used in image segmentation, optical character recognition and other computational applications. Voronoi Voronoi. Voronoi or Voronoy is a Slavic masculine surname; its feminine counterpart is Voronaya. This disambiguation page lists articles associated with the title Voronoi. If an internal link led you here, you may wish to change the link to point directly to the intended article. Voronoi diagram Encyclopedia of Mathematics The Voronoi diagram generated by is the partition of the into convex cells, the Voronoi cells, , where each contains all points of closer to than to any other point: where is the Euclidean distance between and . Voronoi diagram | Encyclopedia Voronoi diagram A breakdown of a plane into Voronoi regions (also called Dirichlet regions) based on a set of points. For each point P in the set, the corresponding Voronoi region consists of the set of points closer to P than to any other point in the set. Source for information on Voronoi diagram: A Dictionary of puting dictionary. Mathematical diagram Republished WIKI 2 A Voronoi diagram is a special kind of decomposition of a metric space determined by distances to a specified discrete set of objects in the space, e.g., by a discrete set of points. This diagram is named after Georgy Voronoi, also called a Voronoi tessellation, a Voronoi decomposition, or a Dirichlet tessellation after Peter Gustav Lejeune ... Weighted Voronoi diagram Weighted Voronoi diagram. The Voronoi cells in a weighted Voronoi diagram are defined in terms of a distance function. The distance function may specify the usual Euclidean distance, or may be some other, special distance function. Usually, the distance function is a function of the generator points' weights. Mathematical diagram Voronoi diagramEdit. A Voronoi diagram is a special kind of decomposition of a metric space determined by distances to a specified discrete set of objects in the space, e.g., by a discrete set of points. This diagram is named after Georgy Voronoi, also called a Voronoi tessellation, a Voronoi decomposition,... Delaunay triangulation , the free encyclopedia From , the free encyclopedia. For 4 points on the same circle (e.g., the vertices of a rectangle) the Delaunay triangulation is not unique: clearly, the two possible triangulations that split the quadrangle into two triangles satisfy the Delaunay condition. Generalizations are possible to metrics other than Euclidean. 23 Best Voronoi diagram images in 2018 pinterest Explore Bjarki Magnusson's board "Voronoi diagram" on Pinterest. Voronoid diagram | Article about Voronoid diagram by The ... Looking for Voronoid diagram? Find out information about Voronoid diagram. For a set S of points in the Euclidean plane, the partition Vor of the plane into the voronoi polygons associated with the members of S. Vor is the dual of... United States of Voronoi Is there a better way to choose US state boundaries? Voronoi diagrams can do the job. Voronoi Diagrams by Jason Davies: United States of Voronoi: s: ...