基于MATLAB参数曲线的最优逼近  

The Parameter Curve Optimal Approximating Based on MATLAB

作　　者：丁克会[1] 席平原[1] 刘树春[1] 

机构地区：[1]淮海工学院,江苏连云港222005

出　　处：《机床与液压》2009年第3期162-164,196,共4页Machine Tool & Hydraulics

基　　金：淮海工学院自然科学基金项目(Z2006023)

摘　　要：讨论了单圆弧和双圆弧逼近曲线的优缺点,并综合应用两者的优点,用混合单双圆弧以允差逼近参数曲线,使得曲线在各分段点处逼近圆弧的光滑连接。讨论了参数方程分段点的性质,提出第三类尖点。对曲线的分段点采用组合判断的方法,避免了高阶导数计算,保证了分段点判断的可靠性。在曲率极值点处采用圆弧延长法,减少了圆弧逼近的段数。对称图形采用对称算法,提高了程序的执行速度。基于MATLAB优化的方法编程求解节点,为数控编程加工复杂的曲线提供了参考。The advantages and disadvantages of single arc and biarc approximating were discussed. Combing the merits of two kinds of fitting, the parameter curve was approximated in mixing single arc and biarc in permission tolerance to make the curve approximate the smooth link of arc at segmental points. The nature of segmental points of parameter equation was discussed and the third type of cusp was put forward. The method of composite judging was applied at segmental points of the curve to avoid the calculation of the higher derivative and ensure the reliability of judging segmental points. The arc lengthening method in extreme value points of curva- ture was used to further decrease segments of arc approximating. Symmetrical algorithm for symmetrical graph was used so that the program runs more rapidly. The nodes were solved by programming in MATLAB software to provide reference for processing complex curve in numerical control.

关 键 词：双圆弧 单圆弧 最优逼近 尖点 

分 类 号：TH122[机械工程—机械设计及理论] TP311[自动化与计算机技术—计算机软件与理论]