正则Bezier曲线的等距线及其计算机实现

Offset Curve of the Regular Bezier Curve and the Drawing of it by Computer

利用de Casteljau算法求得正则Bezier曲线上各点处的切矢,再由此得到各点处的法矢,应用于求原始曲线的等距线,该方法几何意义明显,算法简洁。同时给出了用MATLAB绘制Bezier曲线及其等距线的程序,准确快捷,实践效果较好。

In this paper, we obtain the tangent vector at each point of the regular Bezier curve by using the de Castellan algorithm. Then we can get the unit normal vector at each point of the original curve. Using it to compute the offset curves of the original Bezier curve,this method is simple and has obvious geometric meaning. Meanwhile, the MATLAB program for drawing of Bezier curve and its offset curve are given, this makes the drawing exact and quick, and the practice effect is well.