Topics in Computational Geometry: Robust Geometric Computing and Optimal Visibility Coverage

Packer, Eli

ISBN 10: 3639162951 ISBN 13: 9783639162950

Published by VDM Verlag, 2009

Language: English

Condition: New Soft cover

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Bibliographic Details

Title

Topics in Computational Geometry: Robust Geometric Computing and Optimal Visibility Coverage

Publisher

VDM Verlag

Publication Date

2009

Language

English

ISBN 10

3639162951

ISBN 13

9783639162950

Binding

Soft cover

Condition

New

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About this title

Synopsis

This book presents work in two of the most popular areas of geometric computation: Robust Geometric Computing and Optimal Visibility Coverage. Both areas have been extensively researched in recent years and attracted the attention of many researchers and software developers. (1) Implementation of geometric algorithms is generally difficult because one must deal with both precision problems and degenerate input. Overlooking these issues often result in program errors or crashes. The first part of this book presents algorithms to approximate an arrangement of line segments, which is a basic and important geometric data structure, in order to make it more robust for further manipulation and computation. (2) The optimal visibility coverage problem, often called the "art gallery problem", is one of the classic geometric problems. The input for the problem is a geometric domain and the challenge is to minimize the number of guards that cover, or see, the domain. This topic is motivated by problems in surveillance, sensor networking, illumination and more. The second part of this book presents algorithms for some of the most popular visibility coverage problems.

About the Author

Dr. Eli Packer works at IBM Research Center in Hawthorne, New York. He received a B.Sc. and an M.Sc. in Computer Science from Tel Aviv University, and a Ph.D. from the Department of Computer Science at Stony Brook University. His research interests include Computational Geometry, Computer Graphics, Algorithms and Software Engineering.

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