
Journal for Geometry and Graphics 15 (2011), No. 1, 001018 Copyright Heldermann Verlag 2011 Algorithm for the Parameterization of Rational Curves Revisited Michal Bizzarri NTIS  New Technologies for Information Society, Faculty of Applied Sciences, University of West Bohemia, Plzen, Czech Republic bizarri@kma.zcu.cz Miroslav Lávicka Dept. of Mathematics, University of West Bohemia, Plzen, Czech Republic lavicka@kma.zcu.cz 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 d3 simple points of an implicitly given curve of degree d. In this paper, we study some modifications of this wellknown algorithm, which are then verified on several examples. Keywords: Algebraic curve, singular points, genus, rational parameterization, quadratic transformation. MSC: 51N35; 14H45, 68U05 [ Fulltextpdf (330 KB)] for subscribers only. 