Robotics Research Technical Report: Ray Shooting, Implicit Point Location
Language: English
Published by Forgotten Books, 2022
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.15
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book explores the development of advanced techniques for various types of queries on arrangements of segments and related structures. Ray shooting, implicit point location, and related problems form the core of this research. The author presents efficient techniques for answering various queries on planar arrangements of segments and certain related structures. These techniques extend and modify recent efficient techniques for half-plane range searching to obtain algorithms for answering efficiently several types of queries on arrangements of segments and certain related structures. A typical example is the implicit point location problem — given such an arrangement A, preprocess it so that, given any query point x, we can calculate quickly certain properties of the face of A containing x. The results of this book have been conceived and developed in the summer of 1987, but for various reasons were left unpublished for almost two years. Meanwhile, there has been significant progress on the problems studied here. In particular, a recent work by Agarwal presents techniques that achieve query time roughly O(sqrt(n)) and involve deterministic, rather than randomized, preprocessing. Agarwal's results are based on a decomposition technique that is different from the one used in this book. Still, many of Agarwal's arguments are taken from this book. As a public service, to make our results somewhat more accessible, the author has decided to elevate this book from the status of unpublished manuscript to that of a technical report. 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 # 9781332184699_0
- Title
- Robotics Research Technical Report: Ray Shooting, Implicit Point Location
- Author
- Leonidas Guibas, Mark Overmars
- Publisher
- Forgotten Books
- Publication year
- 2022
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1332184693
- ISBN 13
- 9781332184699
- Seller catalogs
- Geometry
A technical report on how to answer complex geometric queries fast in arrangements of segments.
It covers ray shooting, implicit point location, and related problems with efficient, implicit representations.
The work adapts partition-tree techniques to handle implicit data and batched queries, striving for subquadratic preprocessing and space with near-linear query time. It presents methods for ray shooting in non-simple polygons and for a variety of practical applications in placement queries and three-dimensional visibility.
- How to preprocess segment arrangements to enable fast point location and related queries.
- Techniques that achieve subquadratic preprocessing and near-linear query time using partition trees.
- Applications to ray shooting in complex planar and three-dimensional settings.
- Practical problem areas like polygon placement and implicit hidden surface removal in graphics.
Ideal for readers of computational geometry and graphics research looking for scalable, implicit representations and efficient query handling.
"Synopsis" may belong to another edition of this title.
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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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