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评定直线度误差的最小二乘法与 最小包容区域法精度之比较
引用本文:黄富贵,崔长彩.评定直线度误差的最小二乘法与 最小包容区域法精度之比较[J].光学精密工程,2007,15(6):889-893.
作者姓名:黄富贵  崔长彩
作者单位:华侨大学,机电及自动化学院,福建,泉州,362021
基金项目:福建省青年科技人才创新基金
摘    要:介绍了直线度误差评定的最小二乘法和最小包容区域法的算法模型与实现方法。在三坐标测量机上对八种不同被测直线进行了采样点坐标数据提取,分别用最小二乘法和最小包容区域法的基于搜索逼近-逐次旋转逼近法进行了给定平面内直线度误差的评定。结果表明:最小二乘法的评定结果与最小包容区域法的基于搜索逼近-逐次旋转逼近法的评定结果完全一致,即直线度误差的最小二乘法评定结果符合最小条件。

关 键 词:直线度误差  评定  最小二乘法  最小包容区域法
文章编号:1004-924X(2007)06-0889-05
收稿时间:2006-10-14
修稿时间:2006-10-142007-01-07

Comparison of evaluating precision of straightness error between least square method and least envelope zone method
HUANG Fu-gui,CUI Chang-cai.Comparison of evaluating precision of straightness error between least square method and least envelope zone method[J].Optics and Precision Engineering,2007,15(6):889-893.
Authors:HUANG Fu-gui  CUI Chang-cai
Affiliation:College of Mechatronics &; Automation, Huaqiao University, Quanzhou 362021, China
Abstract:The algorithm model and the realization method of evaluating straightness error in least squares method and least envelope zone method were introduced in detail.The experimental data of eight different kinds of straights were obtained on Coordinate Measuring Mechine(CMM).Then the measured data were evaluated by least square method and least envelope zone method based on search approximatioss(namely cut and try method in revolutionally).The experimental results indicate that the two methods are completely consistent and the evaluated result of straightness error by least square method conforms to the least condition.
Keywords:straightness error  evaluation  least square method  least envelope zone method
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