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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 3 — Feb. 10, 2014
  • pp: 3458–3467

Measuring color differences in automotive samples with lightness flop: A test of the AUDI2000 color-difference formula

Manuel Melgosa, Juan Martínez-García, Luis Gómez-Robledo, Esther Perales, Francisco M. Martínez-Verdú, and Thomas Dauser  »View Author Affiliations

Optics Express, Vol. 22, Issue 3, pp. 3458-3467 (2014)

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From a set of gonioapparent automotive samples from different manufacturers we selected 28 low-chroma color pairs with relatively small color differences predominantly in lightness. These color pairs were visually assessed with a gray scale at six different viewing angles by a panel of 10 observers. Using the Standardized Residual Sum of Squares (STRESS) index, the results of our visual experiment were tested against predictions made by 12 modern color-difference formulas. From a weighted STRESS index accounting for the uncertainty in visual assessments, the best prediction of our whole experiment was achieved using AUDI2000, CAM02-SCD, CAM02-UCS and OSA-GP-Euclidean color-difference formulas, which were no statistically significant different among them. A two-step optimization of the original AUDI2000 color-difference formula resulted in a modified AUDI2000 formula which performed both, significantly better than the original formula and below the experimental inter-observer variability. Nevertheless the proposal of a new revised AUDI2000 color-difference formula requires additional experimental data.

© 2014 Optical Society of America

OCIS Codes
(330.1690) Vision, color, and visual optics : Color
(330.1710) Vision, color, and visual optics : Color, measurement
(330.1730) Vision, color, and visual optics : Colorimetry

ToC Category:
Vision, Color, and Visual Optics

Original Manuscript: October 10, 2013
Revised Manuscript: December 23, 2013
Manuscript Accepted: January 3, 2014
Published: February 6, 2014

Virtual Issues
Vol. 9, Iss. 4 Virtual Journal for Biomedical Optics

Manuel Melgosa, Juan Martínez-García, Luis Gómez-Robledo, Esther Perales, Francisco M. Martínez-Verdú, and Thomas Dauser, "Measuring color differences in automotive samples with lightness flop: A test of the AUDI2000 color-difference formula," Opt. Express 22, 3458-3467 (2014)

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  1. M. Melgosa, A. Trémeau, and G. Cui, Advanced Color Image Processing and Analysis (Springer, 2013), Chap. 3.
  2. W. V. Longley, “Automotive color certification,” Color Res. Appl.20(1), 50–54 (1995). [CrossRef]
  3. E. J. J. Kirchner and J. Ravi, “Setting tolerances on color and texture for automotive coatings,” Color Res. Appl., 39(1), 88–98 (2012).
  4. M. Melgosa, “Testing CIELAB-based color-difference formulas,” Color Res. Appl.25(1), 49–55 (2000). [CrossRef]
  5. Commission Internationale de l’Éclairage (CIE), Improvement to industrial colour-difference evaluation, CIE Publication 142–2001 (CIE Central Bureau, Vienna, 2001).
  6. Commission Internationale de l’Éclairage (CIE), Colorimetry - Part 6: CIEDE2000 colour-difference formula, CIE S 014–6 E:2013 (CIE Central Bureau, Vienna, 2013).
  7. R. G. Kuehni, “CIEDE2000, milestone or final answer?” Color Res. Appl.27(2), 126–127 (2002). [CrossRef]
  8. S. Wen, “A color difference metric based on the chromaticity discrimination ellipses,” Opt. Express20(24), 26441–26447 (2012), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-20-24-26441 . [CrossRef] [PubMed]
  9. F. J. J. Clarke, R. McDonald, and B. Rigg, “Modification to the JPC79 colour-difference formula,” J. Soc. Dyers Colour.100(4), 128–132 (1984). [CrossRef]
  10. Commission Internationale de l’Éclairage (CIE), Industrial Colour-difference evaluation, CIE Publication 116–1995 (CIE Central Bureau, Vienna, 1995).
  11. G. Cui, M. R. Luo, B. Rigg, G. Roesler, and K. Witt, “Uniform colour spaces based on the DIN99 colour-difference formula,” Color Res. Appl.27(4), 282–290 (2002). [CrossRef]
  12. M. R. Luo, G. Cui, and C. Li, “Uniform colour spaces based on CIECAM02 colour appearance model,” Color Res. Appl.31(4), 320–330 (2006). [CrossRef]
  13. C. Oleari, M. Melgosa, and R. Huertas, “Euclidean color-difference formula for small-medium color differences in log-compressed OSA-UCS space,” J. Opt. Soc. Am. A26(1), 121–134 (2009). [CrossRef] [PubMed]
  14. M. Melgosa, R. Huertas, and R. S. Berns, “Performance of recent advanced color-difference formulae using the Standardized Residual Sum of Squares index,” J. Opt. Soc. Am. A25(7), 1828–1834 (2008). [CrossRef]
  15. Z. Huang, H. Xu, M. R. Luo, G. Cui, and H. Feng, “Assessing total differences for effective samples having variations in color coarseness and glint,” Chin. Opt. Lett.8, 717–720 (2010). [CrossRef]
  16. Z. Huang, H. Xu, and M. R. Luo, “Camera-based model to predict the total difference between effect coatings under directional illumination,” Chin. Opt. Lett.9, 093301 (2011). [CrossRef]
  17. Commission Internationale de l’Éclairage (CIE), Methods for evaluating colour differences in images, CIE Publication 199–2011 (CIE Central Bureau, Vienna, 2011).
  18. DIN 6175–2, “Farbtoleranzen für Automobillackierungen – Teil 2: Effektlackierungen,” Deutsches Institut für Normung eV, Berlin, 2001–03.
  19. T. Dauser, AUDI AG, I/PG-C41, 85045 Ingolstadt, Germany (personal communication, 2012). See http://www.detroitcc.org/files/Color%20Management%20at%20AUDI%20(DCC%20March%202012).pdf
  20. American Society for Testing and Materials (ASTM), “Standard terminology of appearance,” ASTM E284, 95a (1995).
  21. M. Melgosa, L. Gómez-Robledo, J. Martínez-García, E. Perales, F. M. Martínez-Verdú, and T. Dauser, “Testing a colour-difference formula for the automotive industry using the experimental visual datasets employed in CIEDE2000 development,” in Proceedings CIE Centenary Conference (CIE, Paris, 2013), CIE x038:2013 Publication, pp. 465–469.
  22. J. Martínez-García, M. Melgosa, L. Gómez-Robledo, C. Li, M. Huang, H. Liu, G. Cui, M. R. Luo, and T. Dauser, “Testing the AUDI2000 colour-difference formula for solid colours using some visual datasets with usefulness to automotive industry,” in Proceedings 8thIberoamerican Optics Meeting and 11th Latin American Meeting on Optics, Lasers and Applications (Proc. SPIE Vol. 8785, http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=1782351 ). [CrossRef]
  23. M. Melgosa, “Request for existing experimental datasets on color differences,” Color Res. Appl.32(2), 159 (2007). [CrossRef]
  24. O. Gómez, F. J. Burgos, E. Perales, E. Chorro, V. Viqueira, F. M. Martínez-Verdú, and J. Pujol, “Preliminary comparative performance of the AUDI2000 and CIEDE2000 color difference formulas by visual assessments in directional lighting booth,” in Proceedings AIC Colour 2013 (Newcastle, UK, 2013), 4, pp. 1545–1548.
  25. American Society for Testing and Materials (ASTM), Standard practice for specifying the geometry of multiangle spectrophotometers, Technical Report ASTM E2194.01 (2011).
  26. Commission Internationale de l’Éclairage (CIE), Colorimetry, 3rd Edition, CIE Publication 15:2004 (CIE Central Bureau, Vienna, 2004).
  27. S. Guan and M. R. Luo, “Investigation of parametric effects using small colour-differences,” Color Res. Appl.24(5), 331–343 (1999). [CrossRef]
  28. http://www.sdcenterprises.co.uk/products/testing.asp See also ISO 105–A02:1993, “Test for colour fastness – Part A02: Gray scale for assessing change in colour,” International Organization for Standardization (Geneva, Switzerland).
  29. F. J. Burgos, E. Perales, O. Gómez, E. Chorro, V. Viqueira, F. M. Martínez-Verdú, and J. Pujol, “Instrumental and visual correlation between a multiangle spectrophotometer and a directional lighting booth,” in Proceedings AIC Colour 2013 (Newcastle, UK, 2013), 4, pp. 1373–1376.
  30. A. Ferrero, A. M. Rabal, J. Campos, A. Pons, and M. L. Hernanz, “Spectral and geometrical variation of the bidirectional reflectance distribution function of diffuse reflectance standards,” Appl. Opt.51(36), 8535–8540 (2012). [CrossRef] [PubMed]
  31. M. Huang, H. Liu, G. Cui, M. R. Luo, and M. Melgosa, “Evaluation of threshold color differences using printed samples,” J. Opt. Soc. Am. A29(6), 883–891 (2012). [CrossRef] [PubMed]
  32. Commission Internationale de l’Éclairage (CIE), CIE Colorimetry – Part 5: CIE 1976 L*u*v* Colour Space and u’,v’ Uniform Chromaticity Diagram, ISO 11664–5:2009(E) / CIE S 014–5 E:2009 (CIE Central Bureau, Vienna, 2009).
  33. Commission Internationale de l’Éclairage (CIE), CIE Colorimetry – Part 4: 1976 L*a*b* Colour Space, ISO 11664–4:2008(E) / CIE S 014–4 E:2007 (CIE Central Bureau, Vienna, 2007).
  34. M. R. Luo and B. Rigg, “BFD(l:c) colour-difference formula. Part 1 – Development of the formula,” J. Soc. Dyers Colour.103(2), 86–94 (1987). [CrossRef]
  35. P. A. García, R. Huertas, M. Melgosa, and G. Cui, “Measurement of the relationship between perceived and computed color differences,” J. Opt. Soc. Am. A24(7), 1823–1829 (2007). [CrossRef] [PubMed]
  36. M. Melgosa, P. A. García, L. Gómez-Robledo, R. Shamey, D. Hinks, G. Cui, and M. R. Luo, “Notes on the application of the standardized residual sum of square index for the assessment of intra- and inter-observer variability in color-difference experiments,” J. Opt. Soc. Am. A28(5), 949–953 (2011). [CrossRef]
  37. R. S. Berns and B. Hou, “RIT-DuPont supra-threshold color-tolerance individual color-difference pair dataset,” Color Res. Appl.35(4), 274–283 (2010). [CrossRef]
  38. G. G. Attridge and M. R. Pointer, “Some aspects of the visual scaling of large colour differences – II,” Color Res. Appl.25(2), 116–122 (2000). [CrossRef]
  39. M. Huang, H. Liu, G. Cui, M. R. Luo, N. Liao, M. Melgosa, Y. Zhang, and C. Zheng, “Assessing color differences in a wide range of magnitudes,” Proceedings AIC Colour 2013 (Newcastle, UK, 2013), 4, 1533–1536.

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