In recent years there has been a renewed interest in concrete aspects of Algebraic Geometry brought on
by its applications to engineering and computer science. Especially for modeling problems it is useful to
know whether a given algebraic curve or surface can be parametrized by rational or polynomial functions,
and if so then how to find such a parametrization.
Shreeram S. Abhyankar,
"Parametrization of curves and surfaces", Proc. SPIE 1251, Curves and Surfaces in Computer Vision and Graphics, (1 August 1990); doi: 10.1117/12.19738; http://dx.doi.org/10.1117/12.19738