基于Muller法的NURBS曲线插补算法  

NURBS interpolation algorithm based on Muller method

作　　者：任杰青[1] 刘凯[1] 赵东标[1] 

机构地区：[1]南京航空航天大学机电学院,南京210016

出　　处：《现代制造工程》2014年第8期55-59,共5页Modern Manufacturing Engineering

基　　金：南京航空航天大学基本科研业务费资助项目(NS2013049;NN2012041)

摘　　要：在分析NURBS曲线插补原理的基础上,提出了一种基于Muller法的NURBS曲线实时插补算法。该算法首先进行速度控制,由最大进给速度约束、最大弓高误差约束和最大法向加速度约束得到希望进给步长,保证了加工精度。然后利用Muller法迭代计算满足进给步长要求的插补参数,避免了传统方法的复杂求导运算。该算法稳定性好,运算量小,能够对速度波动进行有效控制,并且能够满足实时插补的要求。Through analyzing the principle of NURBS curve interpolation , a real-time NURBS interpolation algorithm based on Muller method is proposed .The proposed algorithm firstly controls the velocity to meet the speed and accuracy requirements by a -dopting constraints of maximum feed speed ,maximum chord error and maximum acceleration .Then Muller method is used to cal-culate the interpolation parameters in the constraint of feed step iteratively ,avoiding derivative calculation of traditional methods . The proposed algorithm has advanced features of good stability and less calculation .It also can effectively control the rate fluctua-tion and meet the real-time interpolation requirement .

关 键 词：NURBS曲线插补 速度控制 Muller法 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置]