Reconstruction of continuous surface profiles from discretely sampled data

J. K. Brennan, A. Crampton, X. Jiang, R. K. Leach, Peter A. Harris

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

3 Citations (Scopus)

Abstract

The need to produce a continuous representation of a curve (or part of a curve) from a set of discretely defined data arises in many metrological applications. In this paper we are interested in the reconstruction of continuous surface texture profiles defined only at discretely obtained points. By reconstructing surface profiles accurately, with elements of numerical safety being taken into account, we can provide a mathematically sound basis on which to compute surface texture profile parameters [1], especially those that do not allow exact evaluation with discrete data points. Examples are given to illustrate the advantages of using this reconstruction method.

LanguageEnglish
Title of host publicationEUSPEN 2005 - Proceedings of the 5th International Conference of the European Society for Precision Engineering and Nanotechnology
Publishereuspen
Pages257-260
Number of pages4
Publication statusPublished - 2005
Event5th International Conference of the European Society for Precision Engineering and Nanotechnology - Montpellier, France
Duration: 8 May 200511 May 2005
Conference number: 5

Conference

Conference5th International Conference of the European Society for Precision Engineering and Nanotechnology
Abbreviated titleEUSPEN 2005
CountryFrance
CityMontpellier
Period8/05/0511/05/05

Fingerprint

textures
profiles
Textures
curves
safety
Acoustic waves
acoustics
evaluation

Cite this

Brennan, J. K., Crampton, A., Jiang, X., Leach, R. K., & Harris, P. A. (2005). Reconstruction of continuous surface profiles from discretely sampled data. In EUSPEN 2005 - Proceedings of the 5th International Conference of the European Society for Precision Engineering and Nanotechnology (pp. 257-260). euspen.
Brennan, J. K. ; Crampton, A. ; Jiang, X. ; Leach, R. K. ; Harris, Peter A. / Reconstruction of continuous surface profiles from discretely sampled data. EUSPEN 2005 - Proceedings of the 5th International Conference of the European Society for Precision Engineering and Nanotechnology. euspen, 2005. pp. 257-260
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Brennan, JK, Crampton, A, Jiang, X, Leach, RK & Harris, PA 2005, Reconstruction of continuous surface profiles from discretely sampled data. in EUSPEN 2005 - Proceedings of the 5th International Conference of the European Society for Precision Engineering and Nanotechnology. euspen, pp. 257-260, 5th International Conference of the European Society for Precision Engineering and Nanotechnology, Montpellier, France, 8/05/05.

Reconstruction of continuous surface profiles from discretely sampled data. / Brennan, J. K.; Crampton, A.; Jiang, X.; Leach, R. K.; Harris, Peter A.

EUSPEN 2005 - Proceedings of the 5th International Conference of the European Society for Precision Engineering and Nanotechnology. euspen, 2005. p. 257-260.

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

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AB - The need to produce a continuous representation of a curve (or part of a curve) from a set of discretely defined data arises in many metrological applications. In this paper we are interested in the reconstruction of continuous surface texture profiles defined only at discretely obtained points. By reconstructing surface profiles accurately, with elements of numerical safety being taken into account, we can provide a mathematically sound basis on which to compute surface texture profile parameters [1], especially those that do not allow exact evaluation with discrete data points. Examples are given to illustrate the advantages of using this reconstruction method.

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Brennan JK, Crampton A, Jiang X, Leach RK, Harris PA. Reconstruction of continuous surface profiles from discretely sampled data. In EUSPEN 2005 - Proceedings of the 5th International Conference of the European Society for Precision Engineering and Nanotechnology. euspen. 2005. p. 257-260