Geometric computations with interval and new robust methods : applications in computer graphics, GIS and computational geometry
著者
書誌事項
Geometric computations with interval and new robust methods : applications in computer graphics, GIS and computational geometry
（Horwood publishing series in computer science）
Horwood Publishing, 2003
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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.
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