Robotics Research Technical Report, Vol. 255 (Classic Reprint)

Herbert Edelsbrunner, Leonidas Guibas

ISBN 10: 133211539X / ISBN 13: 9781332115396

Published by Forgotten Books, 2018

About this Item

Print on Demand. This book offers a highly analytical exploration of line arrangements in the plane, an important topic in computational geometry. The author delves into determining the maximum number of edges that bound a collection of faces within a given arrangement of lines or line segments. This investigation sheds light on the inherent combinatorial complexity of such arrangements, a subject that has captivated mathematicians for centuries. Through rigorous analysis and intricate algorithms, the author uncovers captivating insights into the intricate relationships between lines and their intersections, providing a deeper understanding of the fundamental structures that govern geometric configurations. 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 # 9781332115396_0

Bibliographic Details

• Title: Robotics Research Technical Report, Vol. 255 (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2018
• Language: English
• ISBN 10: 133211539X
• ISBN 13: 9781332115396
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Geometry

About this title

Synopsis

Excerpt from Robotics Research Technical Report, Vol. 255: The Complexity of Many Faces in Arrangements of Lines and of Segments

In our present application, the desired upper bound on K(m,n) is obtained by analyz ing the space complexity of the resulting algorithm. The time complexity of the algo rithm is roughly a polylogarithmic factor times the upper bound on K(m,n) men tioned above (see Section 3 for a more precise bound). The algorithm is based on a random sampling technique akin to the e - net method of Haussler and Welzl [hw] and to the random sampling method of Clarkson [cl]. We obtain a randomized algorithm which always terminates and produces the desired output and which, with high pro bability, does so within the stated time bound.

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.

Product Description

Excerpt from Robotics Research Technical Report, Vol. 255: The Complexity of Many Faces in Arrangements of Lines and of Segments Robotics Research Technical Report: The Complexity of Many Faces in Arrangements of Lines and of Segments was written by Herbert Edelsbrunner and Leonidas Guibas in 1988. This is a 44 page book, containing 16125 words and 16 pictures. Search Inside is enabled for this title. 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.