一类形状可调的拟Bézier曲线

A Class of Adjustable Quasi Bézier Curve

给出一种带多形状参数的多项式调配函数,Bernstein基函数是它的一个特例。利用给出的调配函数,定义了一类形状可调的拟Bézier曲线。调配函数和拟Bézier曲线具有与Bernstein基函数及Bézier曲线类似的性质。对给定的控制多边形,可以通过改变形状参数的值来调整曲线的形状。运用本文方法可生成带参数的拟Bézier曲面。实例表明。本文方法控制灵活,方便有效。

A class of blending function with shape parameter is presented in this paper. It is an extension to the degree＇n Bernstein basis function. Based on this blending function, we define a class of adjustable quasi Bézier curve. The blending functions and quasi Bézier curves have the most properties of Bernstein basis and the Bézier curves. Moreover the shape of the quasi Bézier curves with the same control polygon can be adjusted by changing the shape parameter value. Using this method, quasi Bézier surfaces with parameters are constructed. Experiments show that the method given in this paper is intuitive, effective and easy to control.