光滑函数曲线的最佳直线逼近  

Optimal Line Approximating Smooth Function Curve

作　　者：丁克会[1] 武广金[1] 

机构地区：[1]淮海工学院,江苏连云港222005

出　　处：《煤矿机械》2009年第8期28-31,共4页Coal Mine Machinery

摘　　要：分析了Matlab环境下fzero函数的用法,用符号函数方法2次调用fzero函数即可求到一个节点。着重讨论了函数曲线跨拐点的逼近情况,用拐点两侧内偏等距线的内公切线与曲线的交点替代拐点分段曲线,减少了程序的循环嵌套,保证了程序连续逼近的可靠性。程序少,执行迅速、通用,为复杂曲线的数控编程、CAD系统和自由曲线的等误差线段逼近提供了参考。The usage of function fzero based on Matlab was analysed, which calls function fzero twice by means of symbolic function so as to acquire a node. It mainly discusses the approximation of function curve crossing inflexion, which uses the intersection of inner common tangent of inner offset lines on both sides of the inflexion and the curve to segment curve instead of inflexion in order to decrease loop nesting of program and ensure program reliability of continuous approximating. The program is small, executes promptly and can be used universally, which provides references for numerical control programming of the complex curves, CAD system and free curve approximating with equal error line.

关 键 词：MATLAB 节点 等误差 直线逼近 凸度 

分 类 号：TP311[自动化与计算机技术—计算机软件与理论]