Geometric Computations with Interval and New Robust Methods
Applications in Computer Graphics, GIS and Computational Geometry
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This undergraduate and postgraduate text will familiarise readers with interval arithmetic and related tools to gain reliable and validated results and logically correct decisions for a variety of geometric computations plus the means for alleviating the effects of the errors. It also considers computations on geometric point-sets, which are neither robust nor reliable in processing with standard methods. The authors provide two effective tools for obtaining correct results: (a) interval arithmetic, and (b) ESSA the new powerful algorithm which improves many geometric computations and makes them rounding error free.
Key Features
- Familiarises the reader with interval arithmetic and related tools to gain reliable and validated results and logically correct decisions for a variety of geometric computations
- Provides two effective methods for obtaining correct results in interval arithmetic and ESSA
Readership
Undergraduate and graduate students
Table of Contents
- Interval analysis; Interval Newton methods; The exact sign of sum algorithm (ESSA); Intersection tests; The SCCI-hybrid method for 2D-curve tracing; Interval versions of Bernstein polynomials, Bezier curves and the De Casteljau algorithm; Robust computations of selected discrete problems.
Product details
- No. of pages: 336
- Language: English
- Copyright: © Woodhead Publishing 2003
- Published: December 1, 2003
- Imprint: Woodhead Publishing
- eBook ISBN: 9780857099518
About the Authors
H Ratschek
Helmut Ratschek, Heinrich Heine Universitat, Germany.
Affiliations and Expertise
Heinrich Heine Universitat, Germany
J Rokne
Jon Rokne, University of Calgary, Canada.
Affiliations and Expertise
University of Calgary, Canada
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