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Geometric Computations with Interval and New Robust Methods
Applications in Computer Graphics, GIS and Computational Geometry
- 1st Edition - December 1, 2003
- Authors: H Ratschek, J Rokne
- Language: English
- Paperback ISBN:9 7 8 - 1 - 8 9 8 5 6 3 - 9 7 - 6
- eBook ISBN:9 7 8 - 0 - 8 5 7 0 9 - 9 5 1 - 8
This undergraduate and postgraduate text will familiarise readers with interval arithmetic and related tools to gain reliable and validated results and logically correct decisions… Read more
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Request a sales quoteThis 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.
- 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
Undergraduate and graduate students
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.
- No. of pages: 344
- Language: English
- Edition: 1
- Published: December 1, 2003
- Imprint: Woodhead Publishing
- Paperback ISBN: 9781898563976
- eBook ISBN: 9780857099518
HR
H Ratschek
Helmut Ratschek, Heinrich Heine Universitat, Germany.
Affiliations and expertise
Heinrich Heine Universitat, GermanyJR
J Rokne
Jon Rokne, University of Calgary, Canada.
Affiliations and expertise
University of Calgary, CanadaRead Geometric Computations with Interval and New Robust Methods on ScienceDirect