光电工程, 2012, 39 (3): 83, 网络出版: 2012-04-01
动态随机球的标定误差与测量次数的关系
The Relation between Residual Error and the Number of Measurements in the Random Ball Test
摘要
本文介绍了随机球标定技术的原理。针对随机球标定方法的两种方法(静态法和动态法),本文分别分析了两种方法的标定误差与测量次数之间的关系。依据数理统计原理和合理的假设,理论分析表明静态法是一种特殊的动态法。两种方法的标定误差随测量次数增加呈N-1/2 递减。针对动态法,本文进行了动态法随机球标定实验。实验结果表明,动态法的标定误差与测量次数之间近似符合N-1/2 规律。
Abstract
The principle of the random ball test technology is introduced. There are two types of random ball test technologies. One is called static method; the other is called dynamic method. The relation between calibrating error and the number of measurements in these two methods is analyzed separately. Based on statistics and reasonable assumption, the analysis shows that static method is one of the special dynamic methods. In both of these two methods, the calibrating error drops off as N-1/2 with the number of measurements increases. The experiment of random ball test is done using dynamic method. The experiment result shows that the calibrating error drops off as N-1/2 with the number of measurements increasing approximately.
陆黎明, 伍凡, 侯溪, 李良红. 动态随机球的标定误差与测量次数的关系[J]. 光电工程, 2012, 39(3): 83. LU Li-ming, WU Fan, HOU Xi, LI Liang-hong. The Relation between Residual Error and the Number of Measurements in the Random Ball Test[J]. Opto-Electronic Engineering, 2012, 39(3): 83.