Bezier曲线修改的一种分割算法

A Segmentation Method for Modifying the Bezier Curve

在图形图像处理过程中,Bezier曲线的应用是非常广的。通过增加控制点对Bezier曲线作修改,为了不改变原有曲线的形状,“升阶”是最常用的方法。本文从另一角度出发,提出把Bezier曲线先分割为两段曲线,无需对曲线进行“升阶”,只需重新计算控制点,从而也达到对曲线修改的目的,并且以三次Bezier曲线为例,给出了具体的求解过程。实践证明,这种方法是可行的。

In dealing with graphics or images, the Bezier curve was widely used. Through adding control points to modify the Bizier curve without changing the primary curve shape, the common way of ＂adding a number of control points＂ is presented. This paper puts forward the idea that the Bezier curve is divided into two segments, then the control points are calculated again without ＂adding a number of control points＂ ,in addition to taking the three degree of the Bezier curve example Practice shows that the method is feasible.