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1. |
Record Nr. |
UNINA990000858700403321 |
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Autore |
Gratzer, George |
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Titolo |
Math into Tex : a simple introduction to AMS-Latex / G. Gratzer |
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Pubbl/distr/stampa |
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Boston : Birkhauser, 1993 |
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ISBN |
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Descrizione fisica |
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Disciplina |
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Locazione |
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Collocazione |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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2. |
Record Nr. |
UNISA996465730403316 |
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Autore |
Klein Rolf |
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Titolo |
Concrete and Abstract Voronoi Diagrams [[electronic resource] /] / by Rolf Klein |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1989 |
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ISBN |
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Edizione |
[1st ed. 1989.] |
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Descrizione fisica |
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1 online resource (IV, 169 p.) |
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Collana |
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Lecture Notes in Computer Science, , 0302-9743 ; ; 400 |
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Disciplina |
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Soggetti |
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Computers |
Application software |
Information storage and retrieval |
Data structures (Computer science) |
Algorithms |
Computer graphics |
Theory of Computation |
Computer Applications |
Information Storage and Retrieval |
Data Structures |
Algorithm Analysis and Problem Complexity |
Computer Graphics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Voronoi diagrams in nice metrics -- Abstract Voronoi diagrams -- Computing abstract Voronoi diagrams -- Acyclic partitions -- Concluding remarks. |
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Sommario/riassunto |
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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 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. |
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