基于高维拉格朗日插值法的三坐标测量机测量误差建模  

Using Multi-dimension and High-order Lagrange Interpolation to Model CMM Measuring Error

作　　者：张梅[1,2] 费业泰[3] 倪康[3] 

机构地区：[1]安徽大学电子科学与技术学院,合肥市助教230039 [2]合肥工业大学 [3]安徽大学

出　　处：《工具技术》2010年第4期79-82,共4页Tool Engineering

基　　金：安徽大学博士科研启动经费资助项目(02203105)

摘　　要：目前对三坐标测量机测量误差建模的研究,常见的是低维模型,多元模型很少有学者探讨。本文仔细研究了从一元到二元的拉格朗日插值公式推导过程,找出了推导规律——降维思想,并利用该思想类推出了多元高阶拉格朗日插值公式。将该公式应用于三坐标测量机误差建模领域,取得了较好的建模效果。Most scholars were committed to study the low-dimensional measuring error of the CMM（Coordinate Measuring Machine）,few to research the high-dimensional model. In this paper,the idea of dimension reduction is found from the derivational process of lagrange interpolation formula,which is from one-dimension to two-dimension. High-dimension and high orders Lagrange interpolation formula is analogized by using the rule. Then apply the formula to the fields of the CMM measuring error modeling,and get the better results.

关 键 词：坐标测量机 测量误差 多元高阶 拉格朗日插值 

分 类 号：TG8[金属学及工艺—公差测量技术] TP206[自动化与计算机技术—检测技术与自动化装置]