基于Quasi-Hermite空间曲线的插补优化算法研究

摘要

According to the principle of parametric curve paths CNC interpolating, a real-time interpolation algorithm based on algebraic index of the micro-segment spline is presented.It' s used to solve the problems of Hermite polynomial interpolation algorithm, which are commonly slow recursive algorithm,poor accuracy of approximation and the limitations of constant parameters increment interpolation.And the constant interpolation is achieved by fitting a first-order Taylor Formula.Simulation results show that the algorithm shortens the interpolation time and also improve the interpolation accuracy; meanwhile, it maintains the stability of the feed rate.%根据参数曲线数控插补原理,针对数控系统中常用的Hermite多项式插补算法递推速度慢、逼近精度较差的缺点以及等参数插补法存在的局限性,提出一种基于代数指数样条基的微段实时插补方法,并采用一阶泰勒拟合实现了插补步长相等条件下的恒速插补,给出算法流程.仿真结果表明,本算法缩短插补时间的同时提高了插补精度,并保持进给速度的稳定.