Robotics Research Technical Report (Classic Reprint)
Language: English
Published by Forgotten Books, 2024
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
£ 13.49
Quantity: Over 20 available
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Print on Demand. This book explores a specific geometry problem in the field of computer science involving the movement of objects within confined spaces. The author presents an analysis of the number of critical positions in which a convex polygonal object can make simultaneous contact with three obstacles while remaining free, meaning it does not penetrate any obstacle. Through mathematical proofs and an illustrative example, the book provides an insightful upper bound on the number of such critical positions. The author's analysis finds that the number of critical positions is dependent on the number of sides of the polygon and the number of obstacles, which is significant for designing efficient algorithms that enable collision-free motion planning for polygonal objects. 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 # 9781332172979_0
- Title
- Robotics Research Technical Report (Classic Reprint)
- Author
- D. Leven, M. Sharir
- Publisher
- Forgotten Books
- Publication year
- 2024
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1332172970
- ISBN 13
- 9781332172979
- Seller catalogs
- Geometry
We show that the number of critical positions of a convex polygonal object moving amidst polygonal barriers in two dimensional space, at which it makes three simultaneous contacts with the obstacles but does not penetrate into any obstacle is for some s s 6, where k is the number of boundary segments of B, n is the number of wall segments and x,(q) is an almost linear function of q yielding the maximal number of connected graph portions composing the lower envelope of a set of q continuous functions each pair of which intersect in at most s points. We also present an example where the number of such critical contacts is Q(k2n showing that m the worst case our upper bound is almost Optimal.
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.
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Forgotten Books
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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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Forgotten Books publishes hundreds of thousands of rare and classic books.
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.
This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.
The digital edition of all books may be viewed before purchase if you request a sample.
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