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Uncertainty of spatial straightness in 3D measurement

Wang, J., Jiang, Xiang, Ma, L.M., Xu, Z. and Li, Z. (2005) Uncertainty of spatial straightness in 3D measurement. Journal of Physics, 13. pp. 220-223. ISSN 1742-6596

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Abstract

The least-square method is commonly employed to verify the spatial straightness in actual three-dimensional measurement process, but the uncertainty of the verification result is usually not given by the coordinate measuring machines. According to the basic principle of spatial straightness least-square verification and the uncertainty propagation formula given by ISO/TS 14253-2, a calculation method for the uncertainty of spatial straightness least-square verification is proposed in this paper. By this method, the coefficients of the line equation are regarded as a statistical vector, so that the line equation, the result of the spatial straightness verification and the uncertainty of the result can be obtained after the expected value and covariance matrix of the vector are determined. The method not only assures the integrity of the verification result, but also accords with the requirement of the new generation of GPS standards, which can improve the veracity of verification.

Item Type: Article
Subjects: T Technology > T Technology (General)
Q Science > QA Mathematics
Schools: School of Computing and Engineering
School of Computing and Engineering > Centre for Precision Technologies
School of Computing and Engineering > Centre for Precision Technologies > Surface Metrology Group
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References:

[1] International Standards Organisation 2002 Geometrical product specification (GPS) - General concept - Part 1: Model for geometric specification and verification ISO/TS 17450-1
[2] International Standards Organisation 2002 Geometrical product specification (GPS) - General concept - Part 2: Basic tenets, specifications, operators and uncertainties ISO/TS 17450-2
[3] International Standards Organisation 1998 Geometrical product specification (GPS) - Inspection by measurement of workpieces and measuring equipment - Part 1: Decision rules for proving conformance or non-conformance with specifications ISO 14253-1
[4] International Standards Organisation 1999 Geometrical product specification (GPS) - Inspection by measurement of workpieces and measuring equipment - Part 2: Guide to the estimation of uncertainty in GPS measurement, in calibration of measuring equipment and in product verification ISO/TS 14253-2

Depositing User: Briony Heyhoe
Date Deposited: 04 Apr 2008 15:36
Last Modified: 02 Dec 2010 13:08
URI: http://eprints.hud.ac.uk/id/eprint/645

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