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Using polynomial interpolation for implicitizing algebraic curves

✍ Scribed by A. Marco; J.J. Martı́nez

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
83 KB
Volume
18
Category
Article
ISSN
0167-8396

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✦ Synopsis

A simple algorithm for finding the implicit equation of a rational plane algebraic curve given by its parametric equations is presented. The algorithm is based on an efficient computation of the resultant by means of classical bivariate polynomial interpolation. One of the main features of the used approach is the fact that it considerably reduces the problem of intermediate expression swell, which is usually present in many computer algebra algorithms.

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