Algorithms in Combinatorial Geometry

Algorithms in Combinatorial Geometry
Author :
Publisher : Springer Science & Business Media
Total Pages : 423
Release :
ISBN-10 : 9783642615689
ISBN-13 : 3642615686
Rating : 4/5 (89 Downloads)

Book Synopsis Algorithms in Combinatorial Geometry by : Herbert Edelsbrunner

Download or read book Algorithms in Combinatorial Geometry written by Herbert Edelsbrunner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational geometry as an area of research in its own right emerged in the early seventies of this century. Right from the beginning, it was obvious that strong connections of various kinds exist to questions studied in the considerably older field of combinatorial geometry. For example, the combinatorial structure of a geometric problem usually decides which algorithmic method solves the problem most efficiently. Furthermore, the analysis of an algorithm often requires a great deal of combinatorial knowledge. As it turns out, however, the connection between the two research areas commonly referred to as computa tional geometry and combinatorial geometry is not as lop-sided as it appears. Indeed, the interest in computational issues in geometry gives a new and con structive direction to the combinatorial study of geometry. It is the intention of this book to demonstrate that computational and com binatorial investigations in geometry are doomed to profit from each other. To reach this goal, I designed this book to consist of three parts, acorn binatorial part, a computational part, and one that presents applications of the results of the first two parts. The choice of the topics covered in this book was guided by my attempt to describe the most fundamental algorithms in computational geometry that have an interesting combinatorial structure. In this early stage geometric transforms played an important role as they reveal connections between seemingly unrelated problems and thus help to structure the field.


Algorithms in Combinatorial Geometry Related Books

Algorithms in Combinatorial Geometry
Language: en
Pages: 423
Authors: Herbert Edelsbrunner
Categories: Computers
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Computational geometry as an area of research in its own right emerged in the early seventies of this century. Right from the beginning, it was obvious that str
Combinatorial Geometry and Its Algorithmic Applications
Language: en
Pages: 251
Authors: János Pach
Categories: Mathematics
Type: BOOK - Published: 2009 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

"Based on a lecture series given by the authors at a satellite meeting of the 2006 International Congress of Mathematicians and on many articles written by them
Geometric Algorithms and Combinatorial Optimization
Language: en
Pages: 374
Authors: Martin Grötschel
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Historically, there is a close connection between geometry and optImization. This is illustrated by methods like the gradient method and the simplex method, whi
Combinatorial and Computational Geometry
Language: en
Pages: 640
Authors: Jacob E. Goodman
Categories: Computers
Type: BOOK - Published: 2005-08-08 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This 2005 book deals with interest topics in Discrete and Algorithmic aspects of Geometry.
Algorithmic Geometry
Language: en
Pages: 548
Authors: Jean-Daniel Boissonnat
Categories: Computers
Type: BOOK - Published: 1998-03-05 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

The design and analysis of geometric algorithms have seen remarkable growth in recent years, due to their application in, for example, computer vision, graphics