Voronoi Diagram

ISBN 13: 9785511083681

Voronoi Diagram

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9785511083681: Voronoi Diagram

High Quality Content by WIKIPEDIA articles! In mathematics, a Voronoi diagram is a special kind of decomposition of a given space, e.g., a metric space, determined by distances to a specified family of objects (subsets) in the space. These objects are usually called the sites or the generators (but other names such as "seeds" are in use) and to each such an object one associates a corresponding Voronoi cell, namely the set of all points in the given space whose distance to the given object is not greater than their distance to the other objects. It is named after Georgy Voronoi, and is also called a Voronoi tessellation, a Voronoi decomposition, or a Dirichlet tessellation (after Lejeune Dirichlet). Voronoi diagrams can be found in a large number of fields in science and technology, even in art, and they have found numerous practical and theoretical applications.

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