摘要
本文介绍了用Bernstein多项式来逼近函数f(x),它们具有同样的单调性及凹凸性,所以十分便于几何外形设计.Bézier利用Bernstein多项式良好的几何逼近性质,定义了Bézier曲线的两种形式:即用特征多边形的顶点表示的和用特征多边形的边表示的.本文推出用矩阵形式表示的Bézir曲线,并推导几个低次的Bézier曲线.
This paper explains how to approximate function f(x)with Be-rnstein polynomial.Both of them have the same properties of monotony and conc-avity and convexity,so it ls convenient to use them to design geometric
outlines.Making use of the good property of geometric approximation of Bernstein polynomi-al,Bézier defines the two forms of Bezier curve as the curve forms shown by apexes and sides of characteristic polygon.This paper also deduces Bézier curve exp-ressed by matrix representation and several Bézier curves of first three orders.
