Computing Birational Polynomial Surface Parametrizations without Base Points

Abstract

In this paper, we present an algorithm for reparametrizing birational surface parametrizations into birational polynomial surface parametrizations without base points, if they exist. For this purpose, we impose a transversality condition to the base points of the input parametrization.

Keywords

• proper (i.e., birational) parametrization
• polynomial parametrization
• base point