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Curve Parametrization over Optimal Field Extensions Exploiting the Newton Polygon

In: Geometric Modeling and Algebraic Geometry

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  • Tobias Beck

  • Josef Schicho

Abstract

This paper describes an algorithm for rational parametrization of plane algebraic curves of genus zero. It exploits the shape of the Newton polygon. The computed parametrization has coefficients in an optimal field extension, which is of degree one or two.

Suggested Citation

  • Tobias Beck & Josef Schicho, 2008. "Curve Parametrization over Optimal Field Extensions Exploiting the Newton Polygon," Springer Books, in: Bert Jüttler & Ragni Piene (ed.), Geometric Modeling and Algebraic Geometry, chapter 7, pages 119-140, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-72185-7_7
    DOI: 10.1007/978-3-540-72185-7_7
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