CNC系统中列表曲线的插补研究

Interpolation Study of Listing Curve in CNC System

基于列表数值点,利用参数样条拟合精度高、算法稳定的特点,用累加弦长的方法,推导第一次逼近型值点的三次参数样条方程;使用差分的原理,推出该参数样条方程的插补算法,实现型值点的第二次逼近,并分析了步长参数的选取;文章还分析了这种方法的精度。最后通过实例证明这种方法的可行性。

Based on plane listing numarical values ,taking the advantage of high approximating precision and steady arithmetic of thrice parametric spline ,the thrice parametric spline equation,approximating numerical value first time ,is concluded by use of the way of accumulated chord; Using the difference theory, interpolation arithmetic of the equation is deduced, and the second approximation of these values is also actualized~ How to select the parameter has been analysed too. What about of precision using the method was analysed in these paper.At last,it is proved to feasibility by an example .