The Rectilinear Convex Skull Problem (Classic Reprint)
Language: English
Published by Forgotten Books, 2018
- 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 framework for understanding the notion of concavity in rectilinear regions, exemplified by rectangular shapes. The author develops a combinatorial definition of concavity, which is then used to categorize different levels of concavity, including the familiar notion of convexity. The book investigates the problem of finding the largest rectilinear convex region within a given rectilinear region, presenting an efficient algorithm for solving this problem. The author also explores related problems, such as finding the largest convex region with specific properties, providing valuable insights into the nature and properties of rectilinear shapes. This book will appeal to mathematicians and computer scientists interested in computational geometry and the analysis of geometric shapes. 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 # 9781333550189_0
- Title
- The Rectilinear Convex Skull Problem (Classic Reprint)
- Author
- Derick Wood, Chee K. Yap
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1333550189
- ISBN 13
- 9781333550189
- Seller catalogs
- Geometry
The general problem is the following: given a simple polygon, the largest area convex polygon contained in it. I. Goodman [goo] called this the 'potato peeling problem'; he also posed the question of finding a finite algorithm for the problem. Independently, [woo] considered the problem, dubbing it the 'convex skull problem'. Recently, [0i gave a finiteness criteria for the largest convex included polygon and solved the problem in 0(n°log n) time. In this report, we investigate the rectilinear versions of this problem. Note that the finiteness of the convex skull problem in the rectilinear case is easy.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
"Synopsis" may belong to another edition of this title.
Forgotten Books
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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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