六次Bézier曲线的新扩展

New Expansion of Six Times Bézier Curve

本文构造了含有双参数的七次多项式基函数,该基函数是六次Bernstein基函数的扩展,并基于该基函数定义了带形状参数的多项式曲线.分析结论显示该多项式曲线不仅具有六次Bézier曲线的特性,而且具有形状的可调性和更好的逼近性.

This papers constructs a seven times polynomial basis functions which contains two-paramete. The base function is an extension of six times Bernstein basis function and the papers definited the polynomial curve with a shape parameter based on this function. The author has concluded that six times of the polynomial curve is the characteristics of Bezier curves, and the function is adjustable in shape and hold better approximation by analysising result.