Robotics Research Technical Report (Classic Reprint)

Herbert Edelsbrunner, Leonidas Guibas

ISBN 10: 1332115365 / ISBN 13: 9781332115365

Published by Forgotten Books, 2019

About this Item

Print on Demand. This book explores the intricate relationships between points and planes, particularly in three-dimensional space and to a lesser extent in higher dimensions. The text begins by defining what is meant by an arrangement of planes and then goes on to consider the complexity of such arrangements, or, in other words, how complicated they can be. The author establishes both upper and lower bounds on this complexity, providing a precise understanding of the possible configurations of points and planes. The book also investigates the problem of counting the number of incidences between points and planes, with the author obtaining sharp bounds on the maximum number of such incidences. These results have important implications for various fields, including computational geometry, which deals with problems related to the representation and manipulation of geometric 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 # 9781332115365_0

Bibliographic Details

• Title: Robotics Research Technical Report (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2019
• Language: English
• ISBN 10: 1332115365
• ISBN 13: 9781332115365
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Geometry

About this title

Synopsis

Excerpt from Robotics Research Technical Report: The Complexity of Many Cells in Arrangements of Planes and Related Problems

In this paper we extend these recent techniques to three and higher dimensions, to obtain the results stated in the abstract. The bounds that we obtain (for cases (i.

About the Publisher

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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.