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The Resource Concrete and abstract Voronoi diagrams, Rolf Klein

Concrete and abstract Voronoi diagrams, Rolf Klein

Label
Concrete and abstract Voronoi diagrams
Title
Concrete and abstract Voronoi diagrams
Statement of responsibility
Rolf Klein
Creator
Subject
Language
eng
Summary
"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."--Publisher's website
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1953-
http://library.link/vocab/creatorName
Klein, Rolf
Illustrations
illustrations
Index
no index present
Literary form
non fiction
Nature of contents
bibliography
Series statement
Lecture notes in computer science
Series volume
400
http://library.link/vocab/subjectName
  • Voronoi polygons
  • Spatial analysis (Statistics)
  • Geometry
Label
Concrete and abstract Voronoi diagrams, Rolf Klein
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages [163]-167)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
20800464
Dimensions
25 cm
Extent
iv, 167 pages
Isbn
9783540520559
Lccn
89026259
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(WaOLN)1283615
Label
Concrete and abstract Voronoi diagrams, Rolf Klein
Publication
Bibliography note
Includes bibliographical references (pages [163]-167)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
20800464
Dimensions
25 cm
Extent
iv, 167 pages
Isbn
9783540520559
Lccn
89026259
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(WaOLN)1283615

Library Locations

    • Thomas Jefferson LibraryBorrow it
      1 University Blvd, St. Louis, MO, 63121, US
      38.710138 -90.311107
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