空间有理三次参数曲线的几个性质

Some Propetties of Rational Spatial Cubic Parametric Curves

本文给出了空间有理三次参数曲线在一般形式下成为线性参数段的充要条件,并进一步讨论了平面有理三次曲线成为线性参数段的充要条件。这些结果统一了Ball等人在这方面的有关工作。

In this paper is presented the necessary and sufficient condition of the general form of a rational spatial cubic parametric curve being a linear parametric segment, and are discussed progressively the necessary and sufficient conditions of a rational planar cubic parametric curve being a linear parametric segment. These results unify the relative works of Ball and othets in this aspect.