Skip to main content
Top
Published in: International Journal of Automation and Computing 1/2013

01-02-2013

Robust Filtration Techniques in Geometrical Metrology and Their Comparison

Authors: Shan Lou, Wen-Han Zeng, Xiang-Qian Jiang, Paul J. Scott

Published in: Machine Intelligence Research | Issue 1/2013

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Filtration is one of the core elements of analysis tools in geometrical metrology. Filtration techniques are progressing along with the advancement of manufacturing technology. Modern filtration techniques are required to be robust against outliers, applicable to surfaces with complex geometry and reliable in whole range of measurement data. A comparison study is conducted to evaluate commonly used robust filtration techniques in the field of geometrical metrology, including the two-stage Gaussian filter, the robust Gaussian regression filter, the robust spline filter and morphological filters. They are compared in terms of four aspects: functionality, mathematical computation, capability and characterization parameters. As a result, this study offers metrologists a guideline to choose the appropriate filter for various applications.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
[1]
go back to reference X. Jiang, P. J. Scott, D. J. Whitehouse, L. Blunt. Paradigm shifts in surface metrology, Part I. Historical philosophy. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 463, no. 2085, pp. 2049–2070, 2007.CrossRef X. Jiang, P. J. Scott, D. J. Whitehouse, L. Blunt. Paradigm shifts in surface metrology, Part I. Historical philosophy. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 463, no. 2085, pp. 2049–2070, 2007.CrossRef
[2]
go back to reference D. J. Whitehouse. Handbook of Surface Metrology, Philadelphia, PA, USA: Taylor & Francis, 1994. D. J. Whitehouse. Handbook of Surface Metrology, Philadelphia, PA, USA: Taylor & Francis, 1994.
[3]
go back to reference Geometrical Product Specifications (GPS) - Filtration, ISO 16610 Series, 2010. Geometrical Product Specifications (GPS) - Filtration, ISO 16610 Series, 2010.
[4]
go back to reference R. E. Reason. Report on reference lines for roughness and roundness. CIRP Annals - Manufacturing Technology, vol. 2, pp. 95–104, 1961. R. E. Reason. Report on reference lines for roughness and roundness. CIRP Annals - Manufacturing Technology, vol. 2, pp. 95–104, 1961.
[5]
go back to reference D. J. Whitehouse, R. E. Reason. The Equation of the Mean Line of Surface Texture Found by an Electric Wave Filter, London, UK: Rank Organisation, 1963. D. J. Whitehouse, R. E. Reason. The Equation of the Mean Line of Surface Texture Found by an Electric Wave Filter, London, UK: Rank Organisation, 1963.
[6]
go back to reference D. J. Whitehouse. An improved type of wave filter for use in surface-finish measurement. Proceedings Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, vol. 192, pp. 306–318, 1967. D. J. Whitehouse. An improved type of wave filter for use in surface-finish measurement. Proceedings Institution of Me­chanical Engineers, Part B: Journal of Engineering Manu­facture, vol. 192, pp. 306–318, 1967.
[7]
go back to reference Surface Texture: Profile Method - Metrological Characteristics of Phase Correct Filters, ISO 11562, 1996. Surface Texture: Profile Method - Metrological Character­istics of Phase Correct Filters, ISO 11562, 1996.
[8]
go back to reference H. Von Weingraber. Uber die Eignung des Hu¨llprofils als Bezugslinie fu¨r die Messung der Rauheit. CIRP Annals, vol. 5, pp. 116–28, 1956. H. Von Weingraber. Uber die Eignung des Hu¨llprofils als Bezugslinie fu¨r die Messung der Rauheit. CIRP Annals, vol. 5, pp. 116–28, 1956.
[9]
go back to reference J. Haesing. Bestimmung der Glaettungstiefe rauher Flaechen. PTB-Mittelungen, vol. 4, pp. 339–340, 1964. J. Haesing. Bestimmung der Glaettungstiefe rauher Flaechen. PTB-Mittelungen, vol. 4, pp. 339–340, 1964.
[10]
go back to reference J. Peters, J. B. Bryan, W. T. Eslter, C. Evans, H. Kun-zmann, D. A. Lucca, S. Sartori, H. Sato, E. G. Thwaite, P. Vanherck, R. J. Hocken, J. Peklenik, T. Pfeifer, H. Trumpold, T. V. Vorburger. Contribution of CIRP to the development of metrology and surface quality evaluation during the last fifty years. CIRP Annals - Manufacturing Technology, vol. 50, no. 2, pp. 471–488, 2001.CrossRef J. Peters, J. B. Bryan, W. T. Eslter, C. Evans, H. Kun-zmann, D. A. Lucca, S. Sartori, H. Sato, E. G. Thwaite, P. Vanherck, R. J. Hocken, J. Peklenik, T. Pfeifer, H. Trumpold, T. V. Vorburger. Contribution of CIRP to the development of metrology and surface quality evaluation during the last fifty years. CIRP Annals - Manufacturing Technology, vol. 50, no. 2, pp. 471–488, 2001.CrossRef
[11]
go back to reference V. Radhakrishnan, A. Weckenmann. A close look at the rough terrain of surface finish assessment. Proceedings Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, vol. 212, no. 5, pp. 411–420, 1998.CrossRef V. Radhakrishnan, A. Weckenmann. A close look at the rough terrain of surface finish assessment. Proceedings In­stitution of Mechanical Engineers, Part B: Journal of Engi­neering Manufacture, vol. 212, no. 5, pp. 411–420, 1998.CrossRef
[12]
go back to reference X. Jiang, P. J. Scott, D. J. Whitehouse, L. Blunt. Paradigm shifts in surface metrology. Part II. The current shift. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 463, no. 2085, pp. 2071–2099, 2007.CrossRef X. Jiang, P. J. Scott, D. J. Whitehouse, L. Blunt. Paradigm shifts in surface metrology. Part II. The current shift. Pro­ceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 463, no. 2085, pp. 2071–2099, 2007.CrossRef
[13]
go back to reference X. Jiang, D. J. Whitehouse. Technology shift in surface metrology. CIRP Annals - Manufacturing Technology, vol. 61, no. 2, pp. 815–836, 2012.CrossRef X. Jiang, D. J. Whitehouse. Technology shift in sur­face metrology. CIRP Annals - Manufacturing Technology, vol. 61, no. 2, pp. 815–836, 2012.CrossRef
[14]
go back to reference J. Seewig. Linear and robust Gaussian regression filters. Journal of Physics: Conference Series, vol. 13, pp. 254–257, 2006. J. Seewig. Linear and robust Gaussian regression filters. Journal of Physics: Conference Series, vol. 13, pp. 254–257, 2006.
[15]
go back to reference S. Brinkmann, H. Bodschwinna, H. W. Lemke. Accessing roughness in three-dimensions using Gaussian regression filtering. International Journal of Machine Tools and Manufacture, vol. 41, no. 13-14, pp. 2153–2161, 2001.CrossRef S. Brinkmann, H. Bodschwinna, H. W. Lemke. Accessing roughness in three-dimensions using Gaussian regression fil­tering. International Journal of Machine Tools and Manu­facture, vol. 41, no. 13-14, pp. 2153–2161, 2001.CrossRef
[16]
go back to reference W. Zeng, X. Jiang, P. J. Scott. Fast algorithm of the Robust Gaussian regression filter for areal surface analysis. Measurement Science and Technology, vol. 21, no. 5, pp. 055108, 2010.CrossRef W. Zeng, X. Jiang, P. J. Scott. Fast algorithm of the Robust Gaussian regression filter for areal surface analysis. Mea­surement Science and Technology, vol. 21, no. 5, pp. 055108, 2010.CrossRef
[17]
go back to reference M. Krystek. Form filtering by splines. Measurement, vol. 18, no.1, pp. 9–15, 1996.CrossRef M. Krystek. Form filtering by splines. Measurement, vol. 18, no.1, pp. 9–15, 1996.CrossRef
[18]
go back to reference M. Krystek. Transfer function of discrete spline filters. Advanced Mathematical Tools in Metrology III, P. Ciarlini, M. G. Cox, F. Pavese, D. Richter, Eds., Singapore, NJ: World Scientific, pp. 203–210, 1997. M. Krystek. Transfer function of discrete spline filters. Ad­vanced Mathematical Tools in Metrology III, P. Ciarlini, M. G. Cox, F. Pavese, D. Richter, Eds., Singapore, NJ: World Scientific, pp. 203–210, 1997.
[19]
go back to reference W. Zeng, X. Jiang, P. Scott. A generalised linear and nonlinear spline filter. Wear, vol. 272, no. 3-4, pp. 544–547, 2011.CrossRef W. Zeng, X. Jiang, P. Scott. A generalised linear and nonlinear spline filter. Wear, vol. 272, no. 3-4, pp. 544–547, 2011.CrossRef
[20]
go back to reference V. Srinivasan. Discrete morphological filters for metrology. In Proceedings of the 6th ISMQC Symposium on Metrology for Quality Control in Production, TU Wien, Austria, pp. 623–628, 1998. V. Srinivasan. Discrete morphological filters for metrology. In Proceedings of the 6th ISMQC Symposium on Metrol­ogy for Quality Control in Production, TU Wien, Austria, pp. 623–628, 1998.
[21]
go back to reference P. J. Scott. Scale-space techniques. In Proceedings of the 10th International Colloquium on Surfaces, Chemnitz, Germany: Chemintz University of Technology, pp. 153–161, 2000. P. J. Scott. Scale-space techniques. In Proceedings of the 10th International Colloquium on Surfaces, Chemnitz, Ger­many: Chemintz University of Technology, pp. 153–161, 2000.
[22]
go back to reference Surface Texture: Profile Method - Surface Having Stratified Functional Properties, ISO 13565, 1998. Surface Texture: Profile Method - Surface Having Strati­fied Functional Properties, ISO 13565, 1998.
[23]
go back to reference X. Jiang. Robust solution for the evaluation of stratified functional surfaces. CIRP Annals - Manufacturing Technology, vol. 59, no 1, pp. 573–576, 2010.CrossRef X. Jiang. Robust solution for the evaluation of stratified functional surfaces. CIRP Annals - Manufacturing Tech­nology, vol. 59, no 1, pp. 573–576, 2010.CrossRef
[24]
go back to reference T. Goto, J. Miyakura, K. Umeda, S. Kadowaki, K. Yanagi. A robust spline filter on the basis of L2-norm. Precision Engineering, vol. 29, no.2, pp. 157–161, 2005.CrossRef T. Goto, J. Miyakura, K. Umeda, S. Kadowaki, K. Yanagi. A robust spline filter on the basis of L2-norm. Precision Engineering, vol. 29, no.2, pp. 157–161, 2005.CrossRef
[25]
go back to reference S. Lou, X. Q. Jiang, P. J. Scott. Morphological filters based on motif combination for functional surface evaluation. In Proceedings of the 17th International Conference on Automation & Computing, IEEE, Huddersfield, UK, pp. 133–137, 2011. S. Lou, X. Q. Jiang, P. J. Scott. Morphological filters based on motif combination for functional surface evaluation. In Proceedings of the 17th International Conference on Au­tomation & Computing, IEEE, Huddersfield, UK, pp. 133–137, 2011.
[26]
go back to reference X. Jiang, S. Lou, P. J. Scott. Morphological method for surface metrology and dimensional metrology based on the alpha shape. Measurement Science and Technology, vol. 23, no.1, pp. 015003, 2012.CrossRef X. Jiang, S. Lou, P. J. Scott. Morphological method for surface metrology and dimensional metrology based on the alpha shape. Measurement Science and Technology, vol. 23, no.1, pp. 015003, 2012.CrossRef
[27]
go back to reference S. Lou, X. Q. Jiang, P. J. Scott. Algorithms for morphological profile filters and their comparison. Precision Engineering, vol. 36, no. 3, pp. 414–423, 2012.CrossRef S. Lou, X. Q. Jiang, P. J. Scott. Algorithms for morpho­logical profile filters and their comparison. Precision Engi­neering, vol. 36, no. 3, pp. 414–423, 2012.CrossRef
[28]
go back to reference C. M. Malburg. Surface profile analysis for conformable interfaces. Journal of Manufacturing Science and Engineering, vol. 125, no. 3, pp. 624–627, 2003.CrossRef C. M. Malburg. Surface profile analysis for conformable in­terfaces. Journal of Manufacturing Science and Engineer­ing, vol. 125, no. 3, pp. 624–627, 2003.CrossRef
[29]
go back to reference M. S. Shunmugam, V. Radhakrishnan. Two- and three-dimensional analyses of surfaces according to the E-system. Proceedings Institution of Mechanical Engineers, vol. 188, no.1, pp. 691–699, 1974.CrossRef M. S. Shunmugam, V. Radhakrishnan. Two- and three-dimensional analyses of surfaces according to the E-system. Proceedings Institution of Mechanical Engineers, vol. 188, no.1, pp. 691–699, 1974.CrossRef
[30]
go back to reference W. Zeng, X. Jiang, P. J. Scott. Roundness filtration by using a robust regression filter for areal surface analysis. Measurement Science and Technology, vol. 22, no. 3, pp. 035108, 2011.CrossRef W. Zeng, X. Jiang, P. J. Scott. Roundness filtration by us­ing a robust regression filter for areal surface analysis. Mea­surement Science and Technology, vol. 22, no. 3, pp. 035108, 2011.CrossRef
[31]
go back to reference Geometrical Product Specification (GPS) - Surface Texture: Areal - Part 2: Terms, Definitions and Surface Texture Parameters, ISO 25178-2, 2007. Geometrical Product Specification (GPS) - Surface Tex­ture: Areal - Part 2: Terms, Definitions and Surface Tex­ture Parameters, ISO 25178-2, 2007.
Metadata
Title
Robust Filtration Techniques in Geometrical Metrology and Their Comparison
Authors
Shan Lou
Wen-Han Zeng
Xiang-Qian Jiang
Paul J. Scott
Publication date
01-02-2013
Publisher
Springer-Verlag
Published in
Machine Intelligence Research / Issue 1/2013
Print ISSN: 2731-538X
Electronic ISSN: 2731-5398
DOI
https://doi.org/10.1007/s11633-013-0690-4

Other articles of this Issue 1/2013

International Journal of Automation and Computing 1/2013 Go to the issue

Premium Partner