Reconsidering algorithms for real parametric curves

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1995 English Publisher:Springer Science and Business Media LLCJournal:Applicable Algebra in Engineering, Communication and Computing, volume 6, pages 345-352 (issn: 0938-1279, eissn: 1432-0622,

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Authors: Cesar Alonso; Jaime Gutierrez 0001; Tomás Recio;

doi: 10.1007/bf01198014 , 10.1007/s002000050012

Reconsidering algorithms for real parametric curves

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Abstract

The authors study the applicability of known algorithms for computing complex parametrizations of curves to the case of real parametrizations. Several results hold over a real curve and its complexification. For example, a real curve has a real parametrization if and only if it has genus zero. The article contains a rather complete bibliography of known results and algorithms.

Related Organizations

University of Cantabria
Spain

Keywords

Computational aspects of algebraic curves, Real algebraic sets, real curve, real parametrizations, bibliography, algorithms

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