Reconstruction of continuous surface profiles from discretely sampled data

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

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 proceeding › Conference contribution › peer-review

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.

Original language	English
Title of host publication	EUSPEN 2005 - Proceedings of the 5th International Conference of the European Society for Precision Engineering and Nanotechnology
Publisher	euspen
Pages	257-260
Number of pages	4
Publication status	Published - 2005
Event	5th International Conference of the European Society for Precision Engineering and Nanotechnology - Montpellier, France Duration: 8 May 2005 → 11 May 2005 Conference number: 5

Conference

Conference	5th International Conference of the European Society for Precision Engineering and Nanotechnology
Abbreviated title	EUSPEN 2005
Country	France
City	Montpellier
Period	8/05/05 → 11/05/05

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title = "Reconstruction of continuous surface profiles from discretely sampled data",

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.",

author = "Brennan, {J. K.} and A. Crampton and X. Jiang and Leach, {R. K.} and Harris, {Peter A.}",

year = "2005",

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booktitle = "EUSPEN 2005 - Proceedings of the 5th International Conference of the European Society for Precision Engineering and Nanotechnology",

publisher = "euspen",

address = "United Kingdom",

note = "5th International Conference of the European Society for Precision Engineering and Nanotechnology, EUSPEN 2005 ; Conference date: 08-05-2005 Through 11-05-2005",

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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 proceeding › Conference contribution › peer-review

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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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