=ADD= =reftype= 14 =number= 97-27 =url= ftp://ftp.risc.uni-linz.ac.at/pub/techreports/1997/97-27.ps.gz =year= 1997 =author= Schicho; Josef =title= Rational Parameterization of Surfaces =howpublished= submitted to JSC =month= 10 =abstract= The parameterization problem asks for a parameterization of an implicitly given surface, in terms of rational functions in two variables. We give an algorithm that decides if such a parametric representation exists, based on Castelnuovo's rationality criterion. If the answer is yes, then we compute such a parametric representation, using the concept of adjoint functions. =location= 2 =owner= 2 =source= 3