Science/Engineering Concrete and Abstract Voronoi Diagrams (Lecture Notes in Computer Science) (3540520554)

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Concrete and Abstract Voronoi Diagrams (Lecture Notes in Computer Science)

Publisher: Springer
Number Of Pages: 167
Publication Date: 1990-01-22
Sales Rank: 2888077
ISBN / ASIN: 3540520554
EAN: 9783540520559
Binding: Paperback
Manufacturer: Springer
Studio: Springer
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Book Description: The Voronoi diagram of a set of sites is a partition of the plane into regions, one to each site, such that the region of each site contains all points of the plane that are closer to this site than to the other ones. Such partitions are of great importance to computer science and many other fields. The challenge is to compute Voronoi diagrams quickly. The problem is that their structure depends on the notion of distance and the sort of site. In this book the author proposes a unifying approach by introducing freeduan.com abstract Voronoi diagrams. These are based on the concept of bisecting curves, which are required to have some simple properties that are actually possessed by most bisectors of concrete Voronoi diagrams. Abstract Voronoi diagrams can be computed efficiently and there exists a worst-case efficient algorithm of divide-and-conquer type that applies to all abstract Voronoi diagrams satisfying a certain constraint. The author shows that this constraint is fulfilled by the concrete diagrams based on large classes of metrics in the plane. Buy Book at Lowest Price on Amazon

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