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Random uncertainty propagation in estimates of sphere parameters from coordinate measurements

Random uncertainty propagation in estimates of sphere parameters from coordinate measurements
Random uncertainty propagation in estimates of sphere parameters from coordinate measurements
Measurements of reference spheres are widely used in verification and calibration of coordinate measuring systems. In this paper, a model for the propagation of random errors in the estimation of sphere parameters is outlined. The dependence of the error propagation on sampling area and sample density is demonstrated using both simulated and measured data. The model can be used to characterise the random error of a coordinate measurement system. It can also be used to determine the error limits on a single sphere parameter estimate or to determine the required sampling strategy to ensure that the confidence limits on an estimate remain within predetermined bounds.
1362-1368
Zhang, D.
1c04f0f4-c07c-4671-8fd0-fa07a685fea2
Maropoulos, P.G.
a740c77c-9924-4eaa-bec9-8a133cac5df2
Hill, M.
0cda65c8-a70f-476f-b126-d2c4460a253e
Zhang, D.
1c04f0f4-c07c-4671-8fd0-fa07a685fea2
Maropoulos, P.G.
a740c77c-9924-4eaa-bec9-8a133cac5df2
Hill, M.
0cda65c8-a70f-476f-b126-d2c4460a253e

Zhang, D., Maropoulos, P.G. and Hill, M. (2006) Random uncertainty propagation in estimates of sphere parameters from coordinate measurements. International Journal of Machine Tools and Manufacture, 46 (12-13), 1362-1368. (doi:10.1016/j.ijmachtools.2005.10.008).

Record type: Article

Abstract

Measurements of reference spheres are widely used in verification and calibration of coordinate measuring systems. In this paper, a model for the propagation of random errors in the estimation of sphere parameters is outlined. The dependence of the error propagation on sampling area and sample density is demonstrated using both simulated and measured data. The model can be used to characterise the random error of a coordinate measurement system. It can also be used to determine the error limits on a single sphere parameter estimate or to determine the required sampling strategy to ensure that the confidence limits on an estimate remain within predetermined bounds.

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Published date: 2006

Identifiers

Local EPrints ID: 43345
URI: https://eprints.soton.ac.uk/id/eprint/43345
PURE UUID: 96ada5e3-2d90-425e-bb51-4063e99c9f21
ORCID for M. Hill: ORCID iD orcid.org/0000-0001-6448-9448

Catalogue record

Date deposited: 23 Jan 2007
Last modified: 14 Mar 2019 01:54

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