Title
A note on implicitization and normal parametrization of rational curves
Abstract
In this paper we present a method to compute an implicitization of a rational parametrized curve in an affine space over an algebraically closed field. This method is the natural generalization of the resultant method for planar curves. For this purpose we need some normality assumptions on the parametrization of the curve. Furthermore, we provide a test to decide whether a parametrization is normal and if not, we compute a normal parametrization.
Year
DOI
Venue
2006
10.1145/1145768.1145818
ISSAC
Keywords
Field
DocType
rational parametrized curve,affine space,rational curve,resultant method,natural generalization,normality assumption,planar curve,normal parametrization,parametric curve
Normality,Discrete mathematics,Parametric equation,Family of curves,Affine space,Parametrization,Planar,Mathematics,Algebraically closed field,Rational normal curve
Conference
ISBN
Citations 
PageRank 
1-59593-276-3
3
0.44
References 
Authors
10
3
Name
Order
Citations
PageRank
Rosario Rubio1655.62
J. Miguel Serradilla230.44
M. Pilar Vélez330.44