Intersection and Decomposition Algorithms for Planar Arrangements - Softcover

Agarwal, Pankaj

Softcover

ISBN 10: 0521168473 ISBN 13: 9780521168472

Publisher: Cambridge University Press, 2011

Synopsis

Several 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.

About this title

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 book, first published in 1991, presents a study of problems related to arrangements of lines or curves in the plane.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2011
• Language: English
• ISBN 10: 0521168473
• ISBN 13: 9780521168472
• Binding: Paperback
• Edition number: 1
• Number of pages: 296