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Approximation of surface texture profiles

Brennan, James K., Crampton, Andrew, Jiang, Xiang, Leach, Richard K. and Harris, Peter M. (2005) Approximation of surface texture profiles. Journal of Physics, Series 13. pp. 264-267. ISSN 1742-6596

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Abstract

In this paper we are interested in the approximation of continuous surface texture profiles defined only at discretely obtained points. A continuous representation is required in order to be able to apply filtration methods that assume uniform data spacing to practical data that in general is not uniformly spaced. By reconstructing surface profiles as natural cubic spline interpolants accurately using numerically stable fitting algorithms, we can provide a mathematically sound basis on which to compute surface texture profile parameters. As an important direct benefit, parameters involving the integrals of surface profiles can be calculated directly from the spline interpolant. Examples are given to illustrate the advantages of using this reconstruction method.

Item Type: Article
Subjects: Q Science > QC Physics
Schools: School of Computing and Engineering
School of Computing and Engineering > Automotive Engineering Research Group
School of Computing and Engineering > Centre for Precision Technologies
School of Computing and Engineering > Centre for Precision Technologies > Surface Metrology Group
School of Computing and Engineering > Informatics Research Group
School of Computing and Engineering > Informatics Research Group > Knowledge Engineering and Intelligent Interfaces
School of Computing and Engineering > Informatics Research Group > Software Engineering Research Group
School of Computing and Engineering > Informatics Research Group > XML, Database and Information Retrieval Research Group
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References:

Taylor Hobson Ltd 2003 Exploring Surface Texture 4th edn (Leicester: Taylor Hobson Ltd)

[2] International Standards Organisation 1997 Geometrical Product Specifications (GPS)-Surface texture: Profile method - terms, definitions and surface texture parameters (Geneva: ISO) ISO 4287

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IOP Article
[4] Leach R K and Harris P M 2002 Ambiguities in the definition of spacing parameters for surface texture characterisation Meas. Sci. Technol. 13 1924-30
IOP Article
[5] Brennan J, Mason J, Jiang X, Leach R and Harris P 2004 Approximation of surface texture profiles and parameters Proc. 5th Int. Euspen Conf, Glasgow, UK, 8-11 May 2004 292-93
Order from Infotrieve
[6] Duchon J 1977 Splines minimising rotation invariant semi-norms in Sobelov spaces Lecture Notes Math. 517 85-100
Order from Infotrieve
[7] Powell M J D 1981 Approximation Theory and Methods (Cambridge: Cambridge University Press)

[8] Powell M J D 1987 Radial basis functions for multivariate interpolation: A review Algorithms for Approximation eds J C Mason and M G Cox (Oxford: Clarendon Press)

[9] International Standards Organisation 1996 Geometrical Product Specifications (GPS) - Surface texture: Profile method - Metrological characteristics of phase correct filters (Geneva: ISO) ISO 11562

Depositing User: Briony Heyhoe
Date Deposited: 20 Mar 2008 14:59
Last Modified: 10 Dec 2010 13:31
URI: http://eprints.hud.ac.uk/id/eprint/589

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