Small sample analysis of vision measurement error

Dan Li; Zhongyu Wang

doi:10.1117/12.2180818

6 March 2015 Small sample analysis of vision measurement error

Dan Li, Zhongyu Wang

Proceedings Volume 9446, Ninth International Symposium on Precision Engineering Measurement and Instrumentation; 94461J (2015) https://doi.org/10.1117/12.2180818
Event: International Symposium on Precision Engineering Measurement and Instrumentation, 2014, Changsha/Zhangjiajie, China

Abstract

Small sample analysis method is proposed to find out the relationship between measurement distance and position error. The grey absolute correlation degree is first used to analyze the correlations of position measurement error. A grey forecasting model is then used to forecast data and expand the small sample size to a relatively larger one. The multivariate multi-order polynomial fitting is made with data. Finally, the accuracy evaluation indices are used to assess the accuracy of curve fitting, which include maximum, minimum and average relative errors. Experimental results show that the difference between maximum and minimum relative errors is in an acceptable range and the accuracy of curve fitting is proved to be superior to 99% which satisfies the engineering requirements.

Citation Download Citation

Dan Li and Zhongyu Wang "Small sample analysis of vision measurement error", Proc. SPIE 9446, Ninth International Symposium on Precision Engineering Measurement and Instrumentation, 94461J (6 March 2015); https://doi.org/10.1117/12.2180818

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