Bezier曲线插补法在CNC系统中的应用  

An Application of Bezier Curve Interpolation Algorithm in CNC Systems

作　　者：王幼民[1] 杨国太[1] 

机构地区：[1]安徽机电学院机械工程系,安徽芜湖241000

出　　处：《机电工程》2000年第6期45-47,共3页Journal of Mechanical & Electrical Engineering

摘　　要：为了描述列表曲线 ,本文从三次Bezier曲线参数方程的矢量表达式出发 ,推导出CNC系统三次Bezier曲线插补法。为保证两段Bezier曲线在连接点处一阶导数、二阶导数连续 ,导出了两段Bezier曲线特征向量应满足的关系方程 ,Bezier插补法不仅在理论上可使所有的插补点落在曲线上 ,而且实时插曲补速度高 ,每次插补时可合理地选择参数增量 ,能使插补速度保证不变 ,也可控制弓高误差。为说明本方法 ,文末给出了算例。Based on vector expression of parametric equation of a third\|order Bezier curve, Bezier curve interpolation algorithm is proposed in order to imitate tabulation curve. Based on Bezier curve continuance of first\|order and second\|order derivative, the characteristic vector equation of two Bezier curve is presented in point of intersection. The algorithm is not only of high accuracy with all of the interpolated points being on the curve theoretically, but also of very high speed in the real\|time interpolation processes. The interpolation velocity does not change and the segment tolerance of interpolation can be control by selecting the parameter in cerement rationally every time. Finally an example is given for lustration.

关 键 词：BEZIER曲线 数控机床 CNC系统 曲线插补法 数控系统 

分 类 号：TG659[金属学及工艺—金属切削加工及机床]