Uncertainty in ellipse fitting using a flatbed scanner: development and experimental verification

Vicente Oliva, Jesús de and Sanchez Perez, Angel M. and Berzal Rubio, Miguel and Maresca, Piera and Gomez Garcia, Emilio (2014). Uncertainty in ellipse fitting using a flatbed scanner: development and experimental verification. "Measurement Science and Technology", v. 25 (n. 1); pp. 1-10. ISSN 0957-0233. https://doi.org/10.1088/0957-0233/25/1/015005.

Description

Title: Uncertainty in ellipse fitting using a flatbed scanner: development and experimental verification
Author/s:
  • Vicente Oliva, Jesús de
  • Sanchez Perez, Angel M.
  • Berzal Rubio, Miguel
  • Maresca, Piera
  • Gomez Garcia, Emilio
Item Type: Article
Título de Revista/Publicación: Measurement Science and Technology
Date: January 2014
Volume: 25
Subjects:
Freetext Keywords: optical dimensional metrology, correlation, measurement uncertainty, least square method, orthogonal distance, flatbed scanner, cut-off length
Faculty: E.T.S.I. Industriales (UPM)
Department: Física Aplicada a la Ingeniería Industrial [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

Full text

[img]
Preview
PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (7MB) | Preview

Abstract

In the field of dimensional metrology, the use of optical measuring machines requires the handling of a large number of measurement points, or scanning points, taken from the image of the measurand. The presence of correlation between these measurement points has a significant influence on the uncertainty of the result. The aim of this work is the development of an estimation procedure for the uncertainty of measurement in a geometrically elliptical shape, taking into account the correlation between the scanning points. These points are obtained from an image produced using a commercial flat bed scanner. The characteristic parameters of the ellipse (coordinates of the center, semi-axes and the angle of the semi-major axis with regard to the horizontal) are determined using a least squares fit and orthogonal distance regression. The uncertainty is estimated using the information from the auto-correlation function of the residuals and is propagated through the fitting algorithm according to the rules described in Evaluation of Measurement Data—Supplement 2 to the ‘Guide to the Expression of Uncertainty in Measurement’—Extension to any number of output quantities. By introducing the concept of cut-off length, it can be observed how it is possible to take into account the presence of the correlation in the estimation of uncertainty in a very simple way while avoiding underestimation.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainDPI2008-01351UnspecifiedUnspecifiedUnspecified

More information

Item ID: 33229
DC Identifier: http://oa.upm.es/33229/
OAI Identifier: oai:oa.upm.es:33229
DOI: 10.1088/0957-0233/25/1/015005
Official URL: http://iopscience.iop.org/0957-0233/25/1/015005/article
Deposited by: Memoria Investigacion
Deposited on: 17 Apr 2015 16:00
Last Modified: 03 May 2019 11:55
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM