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Geometric Computations with Interval and New Robust Methods: Applications in Computer Graphics, GIS and Computational Geometry
By H Ratschek and J Rokne
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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.
- 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
Author
H Ratschek
Helmut Ratschek, Heinrich Heine Universitat, Germany.
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