递推法求一元n次实系数多项式函数的完全等价n次Bezier参数曲线

Bezier curve absolutely equaling to an unitary real parameter function

用递推方法论证了至少存在一条n次Bezier参数曲线与一元n次实系数多项式函数完全等价. 同时给出了将一元n次实系数多项式转换为完全等价的n次Bezier参数曲线的方法.

In the article it is mainly proved that there must be a Bezier curve that absolutely equals to a unitary real parameter function with recurrence method. In the mean time, an algorithm for how to realize it is also proposed.