Concrete and Abstract Voronoi Diagrams (Record no. 35218)

000 -LEADER
fixed length control field 02992nam a22005295i 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783540468745
-- 978-3-540-46874-5
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 005.73
100 1# - MAIN ENTRY--AUTHOR NAME
Personal name Klein, Rolf.
245 10 - TITLE STATEMENT
Title Concrete and Abstract Voronoi Diagrams
Statement of responsibility, etc by Rolf Klein.
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Berlin, Heidelberg :
Name of publisher Springer Berlin Heidelberg,
Year of publication 1989.
300 ## - PHYSICAL DESCRIPTION
Number of Pages IV, 169 p.
Other physical details online resource.
490 1# - SERIES STATEMENT
Series statement Lecture Notes in Computer Science,
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Voronoi diagrams in nice metrics -- Abstract Voronoi diagrams -- Computing abstract Voronoi diagrams -- Acyclic partitions -- Concluding remarks.
520 ## - SUMMARY, ETC.
Summary, etc 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Computer science.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Data structures (Computer science).
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Computer software.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Information storage and retrieval systems.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Computer graphics.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Computer Science.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Data Structures.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Algorithm Analysis and Problem Complexity.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Computer Graphics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Information Storage and Retrieval.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/3-540-52055-4
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type E-BOOKS
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg,
-- 1989.
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
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-- rdamedia
338 ## -
-- online resource
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-- text file
-- PDF
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830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
-- 0302-9743 ;
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Accession Number Uniform Resource Identifier Koha item type
        IMSc Library EBK5924 http://dx.doi.org/10.1007/3-540-52055-4 E-BOOKS
The Institute of Mathematical Sciences, Chennai, India

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