一类可调控有理Bézier曲线及其性质

A Class of Modifiable Rational Bézier Curves and Its Properties

给出了一类具有n+1个控制点和参数l的可调控的有理Bézier曲线,证明其比普通的有理Bézier曲线更加具有保形性,且l无限增大时一致逼近于控制多边形.

A class of modifiable rational Bezier curves with n ＋ 1 control points and a parameter l are presented. These curves preserves the shape of the control polygon better than original Bezier curves. By varying the values of the parameter l, the shape of the curves can be modified and the curves approximate globally to the control polygon as l increases infinitely.