Title
Simplification of surface parametrizations
Abstract
Given a rational parametrization of an algebraic surface, we try to reduce the degree by a suitable reparametrization. We give an algorithm that produces a parametrization with a degree that is at most twice the minimal degree. The problem is closely related to the simplification of linear systems of plane curves by Cremona transformations.
Year
DOI
Venue
2002
10.1145/780506.780536
International Symposium on Symbolic and Algebraic Computation
Keywords
Field
DocType
surface parametrizations,rational parametrization,cremona transformation,minimal degree,linear system,suitable reparametrization,algebraic surface,plane curve,algebraic surfaces,algebraic numbers,fractions
Discrete mathematics,Algebraic number,Function field of an algebraic variety,Parametrization,Algebraic surface,Algebraic extension,Plane curve,Real algebraic geometry,Mathematics,Polar curve
Conference
ISBN
Citations 
PageRank 
1-58113-484-3
4
0.66
References 
Authors
9
1
Name
Order
Citations
PageRank
Josef Schicho112121.43