Estimation of the Measurement Uncertainty based on Quasi Monte-Carlo Method in Optical Measurement

Hui Jing, Mei Fa Huang, Yan Ru Zhong, Bing Kuang, Xiang Qian Jiang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

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.

Original languageEnglish
Title of host publicationProceedings of the International Symposium on Photoelectronic Detection and Imaging 2007
Subtitle of host publicationOptoelectronic System Design, Manufacturing, and Testing
EditorsLiwei Zhou
Place of PublicationWashington
PublisherSPIE
Number of pages10
Volume6624
ISBN (Print)9780819467669
DOIs
Publication statusPublished - 12 Mar 2008
Externally publishedYes
EventInternational Symposium on Photoelectronic Detection and Imaging: Optoelectronic System Design, Manufacturing, and Testings - Beijing, China
Duration: 9 Sep 200712 Sep 2007

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
PublisherSPIE
Volume6624
ISSN (Print)0277-786X

Conference

ConferenceInternational Symposium on Photoelectronic Detection and Imaging
Abbreviated titleISPDI 2007
CountryChina
CityBeijing
Period9/09/0712/09/07

Fingerprint

Quasi-Monte Carlo Methods
Measurement Uncertainty
Optical Measurement
optical measurement
Random number
Monte Carlo method
Monte Carlo methods
random numbers
Evaluate
Convergence Rate
Unstable
Uncertainty
estimating
Evaluation
Estimate
Experiment
evaluation
estimates

Cite this

Jing, H., Huang, M. F., Zhong, Y. R., Kuang, B., & Jiang, X. Q. (2008). Estimation of the Measurement Uncertainty based on Quasi Monte-Carlo Method in Optical Measurement. In L. Zhou (Ed.), Proceedings of the International Symposium on Photoelectronic Detection and Imaging 2007: Optoelectronic System Design, Manufacturing, and Testing (Vol. 6624). [66240Q] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 6624). Washington: SPIE. https://doi.org/10.1117/12.791087
Jing, Hui ; Huang, Mei Fa ; Zhong, Yan Ru ; Kuang, Bing ; Jiang, Xiang Qian. / Estimation of the Measurement Uncertainty based on Quasi Monte-Carlo Method in Optical Measurement. Proceedings of the International Symposium on Photoelectronic Detection and Imaging 2007: Optoelectronic System Design, Manufacturing, and Testing. editor / Liwei Zhou. Vol. 6624 Washington : SPIE, 2008. (Proceedings of SPIE - The International Society for Optical Engineering).
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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",
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Jing, H, Huang, MF, Zhong, YR, Kuang, B & Jiang, XQ 2008, Estimation of the Measurement Uncertainty based on Quasi Monte-Carlo Method in Optical Measurement. in L Zhou (ed.), Proceedings of the International Symposium on Photoelectronic Detection and Imaging 2007: Optoelectronic System Design, Manufacturing, and Testing. vol. 6624, 66240Q, Proceedings of SPIE - The International Society for Optical Engineering, vol. 6624, SPIE, Washington, International Symposium on Photoelectronic Detection and Imaging, Beijing, China, 9/09/07. https://doi.org/10.1117/12.791087

Estimation of the Measurement Uncertainty based on Quasi Monte-Carlo Method in Optical Measurement. / Jing, Hui; Huang, Mei Fa; Zhong, Yan Ru; Kuang, Bing; Jiang, Xiang Qian.

Proceedings of the International Symposium on Photoelectronic Detection and Imaging 2007: Optoelectronic System Design, Manufacturing, and Testing. ed. / Liwei Zhou. Vol. 6624 Washington : SPIE, 2008. 66240Q (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 6624).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Estimation of the Measurement Uncertainty based on Quasi Monte-Carlo Method in Optical Measurement

AU - Jing, Hui

AU - Huang, Mei Fa

AU - Zhong, Yan Ru

AU - Kuang, Bing

AU - Jiang, Xiang Qian

PY - 2008/3/12

Y1 - 2008/3/12

N2 - 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.

AB - 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.

KW - Monte Carlo methods

KW - Optical testing

KW - Statistical analysis

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KW - Reliability

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KW - Computer engineering

KW - Control systems

KW - Electrical engineering

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KW - Quasi Monte-Carlo Method

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M3 - Conference contribution

AN - SCOPUS:41149117905

SN - 9780819467669

VL - 6624

T3 - Proceedings of SPIE - The International Society for Optical Engineering

BT - Proceedings of the International Symposium on Photoelectronic Detection and Imaging 2007

A2 - Zhou, Liwei

PB - SPIE

CY - Washington

ER -

Jing H, Huang MF, Zhong YR, Kuang B, Jiang XQ. Estimation of the Measurement Uncertainty based on Quasi Monte-Carlo Method in Optical Measurement. In Zhou L, editor, Proceedings of the International Symposium on Photoelectronic Detection and Imaging 2007: Optoelectronic System Design, Manufacturing, and Testing. Vol. 6624. Washington: SPIE. 2008. 66240Q. (Proceedings of SPIE - The International Society for Optical Engineering). https://doi.org/10.1117/12.791087