Arrangements of Curves in the Plane Topology, Combinatorics, and Algorithms
Language: English
Published by Forgotten Books, 2024
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.09
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book presents a study of arrangements of curves in the plane. These arrangements are fundamental to many problems in computational and combinatorial geometry, such as motion planning, algebraic cell decomposition, and geometric optimization. The author develops basic tools for the construction, manipulation, and analysis of these arrangements, and provides a generalization of the zone theorem of Chazelle, Edelsbrunner, and Guibas. This theorem states that the combinatorial complexity of the zone of a curve is nearly linear in the number of curves, and the author shows that this result can be applied to obtain a nearly quadratic incremental algorithm for the construction of such arrangements. The book also includes a discussion of the topological and combinatorial properties of these arrangements, and provides new insights into the combinatorial complexity of a single component in an arrangement of triangles in three-dimensional space. The work presented in this book has important implications for a wide range of problems in computational geometry, and provides a valuable resource for researchers and practitioners in this field. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…
Seller Inventory # 9781334013812_0
- Title
- Arrangements of Curves in the Plane Topology, Combinatorics, and Algorithms
- Author
- Herbert Edelsbrunner, Leonidas Guibas
- Publisher
- Forgotten Books
- Publication year
- 2024
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1334013810
- ISBN 13
- 9781334013812
- Seller catalogs
- Geometry
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Forgotten Books
London, United Kingdom
AbeBooks seller since June 2, 2021
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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FB &c Ltd
Dalton House, 60 Windsor Avenue
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