Geometric computations with interval and new robust methods : applications in computer graphics, GIS and computational geometry

Bibliographic Information

Geometric computations with interval and new robust methods : applications in computer graphics, GIS and computational geometry

Helmut Ratschek and Jon Rokne

(Horwood publishing series in computer science)

Horwood Publishing, 2003

Available at  / 2 libraries

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Note

Includes bibliographical references and index

Description and Table of Contents

Description

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.

Table of Contents

  • 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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Details

  • NCID
    BA62408524
  • ISBN
    • 1898563977
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Chichester
  • Pages/Volumes
    xviii, 318 p.
  • Size
    24 cm
  • Parent Bibliography ID
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