@inproceedings{b330fc3c05034e02b257ab974258a60d,
title = "Estimation of the Measurement Uncertainty based on Quasi Monte-Carlo Method in Optical Measurement",
abstract = "Because measurement uncertainty is an important parameter to evaluate the reliability of measurement results, it is essential to present reliable methods to evaluate the measurement uncertainty especially in precise optical measurement. Though Monte-Carlo (MC) method has been applied to estimate the measurement uncertainty in recent years, this method, however, has some shortcomings such as low convergence and unstable results. Therefore its' application is limited. To evaluate the measurement uncertainty in a fast and robust way, Quasi Monte-Carlo (QMC) method is adopted in this paper. In the estimating process, more homogeneous random numbers (quasi random numbers) are generated based on Halton's sequence, and then these random numbers are transformed into the desired distribution random numbers. An experiment of cylinder measurement is given. The results show that the Quasi Monte-Carlo method has higher convergence rate and more stable evaluation results than that of Monte-Carlo method. Therefore, the quasi Monte-Carlo method can be applied efficiently to evaluate the measurement uncertainty.",
keywords = "Monte Carlo methods, Optical testing, Statistical analysis, Computer simulations, Reliability, Imaging systems, Probability theory, Computer engineering, Control systems, Electrical engineering, Optical Measurement, Quasi Monte-Carlo Method, Measurement Uncertainty, Monte-Carlo Method",
author = "Hui Jing and Huang, {Mei Fa} and Zhong, {Yan Ru} and Bing Kuang and Jiang, {Xiang Qian}",
year = "2008",
month = mar,
day = "12",
doi = "10.1117/12.791087",
language = "English",
isbn = "9780819467669",
volume = "6624",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
publisher = "SPIE",
editor = "Liwei Zhou",
booktitle = "International Symposium on Photoelectronic Detection and Imaging 2007",
address = "United States",
note = "International Symposium on Photoelectronic Detection and Imaging : Technology and Applications 2007, ISPDI 2007 ; Conference date: 09-09-2007 Through 12-09-2007",
}