=ADD=
=reftype=
14
=number=
00-17
=url=
ftp://ftp.risc.uni-linz.ac.at/pub/techreports/2000/00-17.ps.gz
=year=
2000
=month=
05
=author=
Gutierrez; R. + Rubio; J. + Schicho; J.
=title=
Polynomial Parametrization of Regular Curves
=abstract=
This paper gives an algorithm to
compute a proper polynomial parametrization of non-singular polynomial
parametric curves $C={\bf V}(f)$. We use a classical  result by  Abhyankar
and Moh
in order to  avoid the genus computation of  curve $C$.
We  present a
sequential algorithm   that only requires  $O(\deg f^3\log\deg
f\log\log\deg f)$ arithmetic
operations. 
=note=
submitted to CAGD
=sponsor=
FWF, project 1303
=keywords=
parametric curves, symbolic computation