Intersection and Decomposition Algorithms for Planar Arrangements
By (author) Pankaj K. Agarwal
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Intersection and Decomposition Algorithms for Planar Arrangements by Pankaj K. Agarwal
Book DescriptionSeveral geometric problems can be formulated in terms of the arrangement of a collection of curves in a plane, which has made this one of the most widely studied topics in computational geometry. This book, first published in 1991, presents a study of various problems related to arrangements of lines, segments, or curves in the plane. The first problem is a proof of almost tight bounds on the length of (n,s)-Davenport-Schinzel sequences, a technique for obtaining optimal bounds for numerous algorithmic problems. Then the intersection problem is treated. The final problem is improving the efficiency of partitioning algorithms, particularly those used to construct spanning trees with low stabbing numbers, a very versatile tool in solving geometric problems. A number of applications are also discussed. Researchers in computational and combinatorial geometry should find much to interest them in this book.
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Book DetailsISBN: 9780521404464
(239mm x 170mm x 17mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 26-Apr-1991
Country of Publication: United Kingdom
Books By Author Pankaj K. Agarwal
Intersection and Decomposition Algorithms for Planar Arrangements, Paperback (December 2010)
This book, first published in 1991, presents a study of various problems related to arrangements of lines, segments, or curves in the plane.
Davenport-Schinzel Sequences and Their Geometric Applications, Paperback (March 2010)
A comprehensive treatment of a fundamental tool for solving problems in computational and combinatorial geometry.
Combinatorial Geometry, Hardback (November 1995)» View all books by Pankaj K. Agarwal
A complete, self-contained introduction to a powerful and resurging mathematical discipline. Combinatorial Geometry presents and explains with complete proofs some of the most important results and methods of this relatively young mathematical discipline, started by Minkowski, Fejes Toth, Rogers, and Erd???s.
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