The Proper Parametrization of a Special Class of Rational Parametric Equations

@article{Li2006ThePP,
  title={The Proper Parametrization of a Special Class of Rational Parametric Equations},
  author={Jia Li and Xiao-Shan Gao},
  journal={J. Systems Science & Complexity},
  year={2006},
  volume={19},
  pages={331-339}
}
We give a proper reparametrization theorem for a set of rational parametric equations which is proper for all but one of its parameters. We also give an algorithm to determine whether a set of rational parametric equations belongs to this class, and if it does, we reparametrize it such that the new parametric equations are proper.