Intersection and Decomposition Algorithms for Planar Arrangements
This book 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.
1100940942
Intersection and Decomposition Algorithms for Planar Arrangements
This book 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.
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Intersection and Decomposition Algorithms for Planar Arrangements

Intersection and Decomposition Algorithms for Planar Arrangements

by Pankaj K. Agarwal
Intersection and Decomposition Algorithms for Planar Arrangements

Intersection and Decomposition Algorithms for Planar Arrangements

by Pankaj K. Agarwal

Hardcover

$148.00 
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Overview

This book 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.

Product Details

ISBN-13: 9780521404464
Publisher: Cambridge University Press
Publication date: 04/26/1991
Pages: 294
Product dimensions: 6.14(w) x 9.37(h) x 0.75(d)
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