Intersections of Rational Parametrized Plane Curves

Haohao Wang, Mohammed Tesemma

Abstract

In this paper, we introduce and compare three different methods of
computing the intersections of rational parametrized plane curves.  The common approach of these methods is to apply the $\mu$-basis of the plane curves, and avoid of computing the implicit equations of the curves, which increase the computation efficiency.

Keywords

Syzygy, Smith Normal Form, Resultants, Curve

Full Text:

PDF