Geodesic
Algorithm for the Parameterization of Rational Curves Revisited
Journal for geometry and graphics, Tome 15 (2011) no. 1, pp. 1-18.

Voir la notice de l'article provenant de la source Heldermann Verlag

A rational parameterization of an algebraic curve yields a rational correspondence between this curve and the affine or projective line. One of the parameterization methods is based on finding all singular points and d-3 simple points of an implicitly given curve of degree d. In this paper, we study some modifications of this well-known algorithm, which are then verified on several examples.
Classification : 51N35, 14H45, 68U05
Mots-clés : Algebraic curve, singular points, genus, rational parameterization, quadratic transformation 
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M. Bizzarri; M. L�vicka . Algorithm for the Parameterization of Rational Curves Revisited. Journal for geometry and graphics, Tome 15 (2011) no. 1, pp. 1-18. http://geodesic.mathdoc.fr/item/JGG_2011_15_1_JGG_2011_15_1_a0/