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.
- 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:
- © Woodhead Publishing 2004
- 1st December 2003
- Woodhead Publishing
- eBook ISBN:
- Paperback ISBN:
Helmut Ratschek, Heinrich Heine Universitat, Germany.
Heinrich Heine Universitat, Germany
Jon Rokne, University of Calgary, Canada.
University of Calgary, Canada