Parallel Computational Geometry (Classic Reprint)

A. Aggarwal B. Chazelle

ISBN 10: 1330590295 / ISBN 13: 9781330590294

Published by Forgotten Books, 2020

About this Item

Print on Demand. This book delves into the realm of parallel computational geometry, an advanced field that explores efficient algorithms for solving geometric problems utilizing multiple processors simultaneously. The author, a leading expert in the domain, presents novel algorithms that operate in logarithmic time using a linear number of processors. By exploiting simple yet powerful data structures, the algorithms presented in this book tackle fundamental geometric problems such as constructing convex hulls, Voronoi diagrams, detecting line segment intersections, triangulating polygons, and optimizing circumscribing triangles. These algorithms significantly enhance the efficiency of geometric problem-solving, making them invaluable for researchers and practitioners in computational geometry. The book is meticulously structured to provide a comprehensive understanding of the field. It begins by introducing basic concepts and gradually builds upon them, offering a firm foundation for readers new to parallel computational geometry. The author's clear explanations and illustrative examples make the content accessible to those with varying backgrounds in computer science and mathematics. For seasoned researchers in computational geometry and related fields, this book offers groundbreaking insights into the latest developments and techniques. The author's original contributions expand the boundaries of knowledge in the field, providing valuable resources for ongoing research and practical applications. 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 # 9781330590294_0

Bibliographic Details

• Title: Parallel Computational Geometry (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2020
• Language: English
• ISBN 10: 1330590295
• ISBN 13: 9781330590294
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Geometry

About this title

Synopsis

Excerpt from Parallel Computational Geometry<br/><br/>This paper contributes some parallel algorithms for solving geometric problems (1) Convex hulls in two and three dimensions (2) Voronoi diagrams and proximity problems (3) Detecting segment intersections and triangulating a polygon (4) Polygon optimization problems (5) Creating data structures in two and three dimensions to answer some standard queries.