Intersection and Decomposition Algorithms for Planar Arrangements - Hardcover

Agarwal, Pankaj K.

 
9780521404464: Intersection and Decomposition Algorithms for Planar Arrangements

Synopsis

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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Book Description

Several geometric problems can be formulated in terms of the arrangements of a collection of curves in a plane, making this one of the most widely studied topics in computational geometry. This 1991 book presents a study of problems related to arrangements of lines or curves in the plane.

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Other Popular Editions of the Same Title

9780521168472: Intersection and Decomposition Algorithms for Planar Arrangements

Featured Edition

ISBN 10:  0521168473 ISBN 13:  9780521168472
Publisher: Cambridge University Press, 2011
Softcover