Propagation of Uncertainty in Discretely Sampled Surface Roughness Profiles

James K Brennan; Andrew Crampton; Xiang Jiang; Richard K. Leach; Peter M. Harris

doi:10.1142/9789812774187_0030

Propagation of Uncertainty in Discretely Sampled Surface Roughness Profiles

James K Brennan, Andrew Crampton, Xiang Jiang, Richard K. Leach, Peter M. Harris

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

The need to evaluate the combined standard uncertainty of an output quantity that itself is a function of many input quantities each with their own associated standard uncertainties is a problem arising in surface profile metrology. This paper presents research in progress that attempts to overcome complications that arise when trying to compute a robust value for this combined standard uncertainty.

Original language	English
Title of host publication	Advanced Mathematical And Computational Tools In Metrology VII
Editors	P. Ciarlini, E. Filipe, A. B. Forbes, F. Pavese, C. Perruchet, B. R. L. Siebert
Publisher	World Scientific
Pages	271-275
Number of pages	5
Volume	72
ISBN (Electronic)	9789814478502, 9789812774187
ISBN (Print)	9789812566744
DOIs	https://doi.org/10.1142/9789812774187_0030
Publication status	Published - 1 Mar 2006
Event	7th Workshop on Advanced Mathematical and Computational Tools in Metrology - Portuguese Quality Institute, Caparica, Portugal Duration: 1 Jun 2005 → 1 Jun 2005 Conference number: 7

Publication series

Name	Advances in Mathematics for Applied Sciences
Publisher	World Scientific Publishing Co Pte Ltd
Volume	72

Workshop

Workshop	7th Workshop on Advanced Mathematical and Computational Tools in Metrology
Country/Territory	Portugal
City	Caparica
Period	1/06/05 → 1/06/05

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10.1142/9789812774187_0030Licence: Unspecified

Cite this

Brennan, J. K., Crampton, A., Jiang, X., Leach, R. K., & Harris, P. M. (2006). Propagation of Uncertainty in Discretely Sampled Surface Roughness Profiles. In P. Ciarlini, E. Filipe, A. B. Forbes, F. Pavese, C. Perruchet, & B. R. L. Siebert (Eds.), Advanced Mathematical And Computational Tools In Metrology VII (Vol. 72, pp. 271-275). (Advances in Mathematics for Applied Sciences; Vol. 72). World Scientific. https://doi.org/10.1142/9789812774187_0030

Brennan, James K ; Crampton, Andrew ; Jiang, Xiang et al. / Propagation of Uncertainty in Discretely Sampled Surface Roughness Profiles. Advanced Mathematical And Computational Tools In Metrology VII. editor / P. Ciarlini ; E. Filipe ; A. B. Forbes ; F. Pavese ; C. Perruchet ; B. R. L. Siebert. Vol. 72 World Scientific, 2006. pp. 271-275 (Advances in Mathematics for Applied Sciences).

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title = "Propagation of Uncertainty in Discretely Sampled Surface Roughness Profiles",

abstract = "The need to evaluate the combined standard uncertainty of an output quantity that itself is a function of many input quantities each with their own associated standard uncertainties is a problem arising in surface profile metrology. This paper presents research in progress that attempts to overcome complications that arise when trying to compute a robust value for this combined standard uncertainty.",

keywords = "Surface profile metrology, Surface roughness",

author = "Brennan, {James K} and Andrew Crampton and Xiang Jiang and Leach, {Richard K.} and Harris, {Peter M.}",

year = "2006",

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editor = "P. Ciarlini and E. Filipe and Forbes, {A. B.} and F. Pavese and C. Perruchet and Siebert, {B. R. L.}",

booktitle = "Advanced Mathematical And Computational Tools In Metrology VII",

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Brennan, JK, Crampton, A, Jiang, X, Leach, RK & Harris, PM 2006, Propagation of Uncertainty in Discretely Sampled Surface Roughness Profiles. in P Ciarlini, E Filipe, AB Forbes, F Pavese, C Perruchet & BRL Siebert (eds), Advanced Mathematical And Computational Tools In Metrology VII. vol. 72, Advances in Mathematics for Applied Sciences, vol. 72, World Scientific, pp. 271-275, 7th Workshop on Advanced Mathematical and Computational Tools in Metrology, Caparica, Portugal, 1/06/05. https://doi.org/10.1142/9789812774187_0030

Propagation of Uncertainty in Discretely Sampled Surface Roughness Profiles. / Brennan, James K; Crampton, Andrew; Jiang, Xiang et al.

Advanced Mathematical And Computational Tools In Metrology VII. ed. / P. Ciarlini; E. Filipe; A. B. Forbes; F. Pavese; C. Perruchet; B. R. L. Siebert. Vol. 72 World Scientific, 2006. p. 271-275 (Advances in Mathematics for Applied Sciences; Vol. 72).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - The need to evaluate the combined standard uncertainty of an output quantity that itself is a function of many input quantities each with their own associated standard uncertainties is a problem arising in surface profile metrology. This paper presents research in progress that attempts to overcome complications that arise when trying to compute a robust value for this combined standard uncertainty.

KW - Surface profile metrology

KW - Surface roughness

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BT - Advanced Mathematical And Computational Tools In Metrology VII

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Brennan JK, Crampton A, Jiang X, Leach RK, Harris PM. Propagation of Uncertainty in Discretely Sampled Surface Roughness Profiles. In Ciarlini P, Filipe E, Forbes AB, Pavese F, Perruchet C, Siebert BRL, editors, Advanced Mathematical And Computational Tools In Metrology VII. Vol. 72. World Scientific. 2006. p. 271-275. (Advances in Mathematics for Applied Sciences). doi: 10.1142/9789812774187_0030

Propagation of Uncertainty in Discretely Sampled Surface Roughness Profiles

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