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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editor: Gregory W. Faris
  • Vol. 2, Iss. 10 — Oct. 31, 2007

Metamer sets without spectral calibration

Ali Alsam and Graham Finlayson  »View Author Affiliations


JOSA A, Vol. 24, Issue 9, pp. 2505-2512 (2007)
http://dx.doi.org/10.1364/JOSAA.24.002505


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Abstract

The set of metamers for a given device response can be calculated given the device’s spectral sensitivities. Knowledge of the metamer set has been useful in practical applications such as color correction and reflectance recovery. Unfortunately, the device sensitivities of a camera or scanner are not known, and they are difficult to estimate reliably outside the laboratory. We show how metamer sets can be calculated when a device’s spectral sensitivities are not known. The result is built on two observations: first, the set of all reflectance spectra consists of convex combinations of certain basic colors that tend to be very bright (or dark) and have high chroma; second, the convex combinations that describe reflectance spectra result in convex combinations of red–green–blue (RGB) values. Thus, given an RGB value, it is possible to find the set of convex combinations of the RGB values of the basic colors that generate the same RGB value. The corresponding set of convex combinations of the basic spectra is the metamer set.

© 2007 Optical Society of America

OCIS Codes
(100.2000) Image processing : Digital image processing
(330.1730) Vision, color, and visual optics : Colorimetry

ToC Category:
Image Processing

History
Original Manuscript: October 16, 2006
Revised Manuscript: February 26, 2007
Manuscript Accepted: March 9, 2007
Published: July 6, 2007

Virtual Issues
Vol. 2, Iss. 10 Virtual Journal for Biomedical Optics

Citation
Ali Alsam and Graham Finlayson, "Metamer sets without spectral calibration," J. Opt. Soc. Am. A 24, 2505-2512 (2007)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-24-9-2505


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References

  1. CIE, Commission Internationale de l'Eclairage Proceedings, 1931 (Cambridge U. Press, 1932).
  2. F. Imai, S. Quan, M. Rosen, and R. Berns, "Digital camera filter design for colorimetric and spectral accuracy," in Proceedings of the Third International Conference on Multispectral Color Science (Society for Imaging Science and Technology, 2001), pp. 13-16.
  3. G. Sharma and H. J. Trussell, "Figures of merit for color scanners," IEEE Trans. Image Process. 6, 990-1001 (1997). [CrossRef] [PubMed]
  4. G. D. Finlayson and M. S. Drew, "The maximum ignorance assumption with positivity," in Proceedings of the IS&T/SID Fourth Color Imaging Conference: Color, Science, Systems and Applications (Society for Imaging Science and Technology, 1996), pp. 202-205.
  5. H. R. Kang, "Color scanner calibration," J. Imaging Sci. Technol. 36, 162-170 (1992).
  6. C. D. Andersen and J. Y. Hardeberg, "Colorimetric characterization of digital cameras preserving hue planes," in Proceedings of the IS&T/SID Thirteenth Color Imaging Conference (Society for Imaging Science and Technology, 2005), pp. 141-146.
  7. G. D. Finlayson and P. Morovic, "Metamer constrained colour correction," J. Imaging Sci. Technol. 44, 295-300 (2000).
  8. P. Morovic, "Metamer sets," Ph.D. thesis (University of East Anglia, 2002).
  9. G. D. Finlayson and P. Morovic, "Metamer sets," J. Opt. Soc. Am. A 22, 810-819 (2005). [CrossRef]
  10. P. Morovic and G. D. Finlayson, "Metamer-set-based approach to estimating surface reflectance from camera RGB," J. Opt. Soc. Am. A 23, 1814-1822 (2006). [CrossRef]
  11. M. S. Drew and B. Funt, "Natural metamers," Comput. Vision Graph. Image Process. Image Understanding 56, 139-151 (1992).
  12. G. Finlayson, S. Hordley, and P. Hubel, "Recovering device sensitivities with quadratic programming," in Proceedings of IS&T/SID Sixth Color Imaging Conference: Color Science, Systems and Applications (Society for Imaging Science and Technology, 1998), pp. 90-95.
  13. G. Sharma and H. Trussell, "Characterization of scanner sensitivity," in Proceedings of IS&T/SID Color Imaging Conference (Society for Imaging Science and Technology, 1993), pp. 103-107.
  14. K. Barnard and B. Funt, "Camera characterization for color research," Color Res. Appl. 27, 153-164 (2002). [CrossRef]
  15. B. Dyas, "Robust sensor response characterization," in Proceedings of IS&T/SID Eighth Color Imagining Conference (Society for Imaging Science and Technology, 2000), pp. 144-148.
  16. A. Alsam and G. D. Finlayson, "Recovering spectral sensitivities with uncertainty," in Proceedings of the First European Conference on Color in Graphics, Imaging and Vision (Society for Imaging Science and Technology, 2002), pp. 22-26.
  17. A. Alsam and R. Lenz, "Calibrating color cameras using metameric blacks," J. Opt. Soc. Am. A 24, 11-17 (2007). [CrossRef]
  18. G. D. Finlayson and P. Morovic, "Intensity constrained error-less colour correction," in Proceedings of IS&T/SID Twelfth Color Imaging Conference (Society for Imaging Science and Technology, 2004), pp. 106-110.
  19. B. K. P. Horn, "Exact reproduction of colored images," Comput. Vis. Graph. Image Process. 26, 135-167 (1984). [CrossRef]
  20. B. Smith, C. Spiekermann, and R. Sember, "Numerical methods for colorimetric calculations: sampling density requirements," Color Res. Appl. 17, 394-401 (1992). [CrossRef]
  21. J. B. Cohen, "Color and color mixture: scalar and vector fundamentals," Color Res. Appl. 13, 5-39 (1988). [CrossRef]
  22. A. L. Peressini, The Mathematics of Nonlinear Programming, 2nd ed. (Springer-Verlag, 1988). [CrossRef]
  23. T. K. Moon and W. C. Stirling, Mathematical Methods and Algorithms for Signal Processing (Prentice Hall, 2000).
  24. H. E. J. Neugebauer, "Die theoretischen grundlagen des mehrfarbendrucks," Z. Wiss. Photogr. 36, 36-73 (1937).
  25. Qhull. See http://www.qhull.org.
  26. G. D. Finlayson and P. Morovic, "Metamer constrained colour correction," in Proceedings of IS&T/SID Seventh Color Imaging Conference (Society for Imaging Science and Technology, 1999), pp. 26-31.

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