Geometric Computations with Interval and New Robust Methods

  • ID: 2736026
  • Book
  • 336 Pages
  • Elsevier Science and Technology
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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

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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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Ratschek, HHelmut Ratschek, Heinrich Heine Universitat, Germany.
Rokne, JJon Rokne, University of Calgary, Canada.
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