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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 28, Iss. 11 — Nov. 1, 2011
  • pp: 2243–2252

Methods for computing weighting tables based on local power expansion for tristimulus values computations

Changjun Li, Claudio Oleari, Manuel Melgosa, and Yang Xu  »View Author Affiliations


JOSA A, Vol. 28, Issue 11, pp. 2243-2252 (2011)
http://dx.doi.org/10.1364/JOSAA.28.002243


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Abstract

In this paper, two types of weighting tables are derived by applying the local power expansion method proposed by Oleari [ Color Res. Appl. 25, 176 (2000)]. Both tables at two different levels consider the deconvolution of the spectrophotometric data for monochromator triangular transmittance. The first one, named zero-order weighting table, is similar to weighting table 5 of American Society for Testing and Materials (ASTM) used with the measured spectral reflectance factors (SRFs) corrected by the Stearns and Stearns formula. The second one, named second-order weighting table, is similar to weighting table 6 of ASTM and must be used with the undeconvoluted SRFs. It is hoped that the results of this paper will aid the International Commission on Illumination TC 1-71 on tristimulus integration in focusing on ongoing methods, testing, and recommendations.

© 2011 Optical Society of America

OCIS Codes
(300.6170) Spectroscopy : Spectra
(300.6190) Spectroscopy : Spectrometers
(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

History
Original Manuscript: July 1, 2011
Revised Manuscript: September 6, 2011
Manuscript Accepted: September 8, 2011
Published: October 11, 2011

Citation
Changjun Li, Claudio Oleari, Manuel Melgosa, and Yang Xu, "Methods for computing weighting tables based on local power expansion for tristimulus values computations," J. Opt. Soc. Am. A 28, 2243-2252 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-11-2243


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References

  1. International Commission on Illumination (CIE), “Colorimetry,” 3rd ed., CIE Publ. 15:2004 (CIE Central Bureau, 2004).
  2. International Organization for Standardization (ISO) and International Commission on Illumination (CIE), “CIE standard illuminants for colorimetry,” joint Publ. ISO 11664-2:2008(E)/CIE S 014-2/E:2006 (International Organization for Standardization, 2008; International Commission on Illumination, 2006).
  3. International Commission on Illumination (CIE), “Recommended practice for tabulating spectral data for use in colour computations,” CIE Publ. 167 (CIE Central Bureau, 2005).
  4. International Organization for Standardization (ISO) and International Commission on Illumination (CIE), “CIE standard colorimetric observers,” joint Publ. ISO 11664-1:2008(E)/CIE S 014-1/E:2006 (International Organization for Standardization, 2008; International Commission on Illumination, 2006).
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  6. C. Li, CIE TC 1-71 technical report, draft 1 (personal communication, 2009). Available from cjli.cip@googlemail.com
  7. American Society for Testing and Materials (ASTM), “Standard method for computing the colors of objects by using the CIE system,” ASTM Intl. E308-85 (ASTM, 1985).
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  9. H. S. Fairman, “Results of the ASTM field test of tristimulus weighting functions,” Color Res. Appl. 20, 44–49 (1995). [CrossRef]
  10. C. Oleari, “Spectral-reflectance-factor deconvolution and colorimetric calculations by local-power expansion,” Color Res. Appl. 25, 176–185 (2000). [CrossRef]
  11. C. J. Li, M. R. Luo, and B. Rigg, “A new method for computing optimum weights for calculating CIE tristimulus values,” Color Res. Appl. 29, 91–103 (2004). [CrossRef]
  12. E. I. Stearns and R. E. Stearns, “An example of a method for correcting radiance data for bandpass error,” Color Res. Appl. 13, 257–259 (1988). [CrossRef]
  13. W. H. Venable, “Accurate tristimulus values from spectral data,” Color Res. Appl. 14, 260–267 (1989). [CrossRef]
  14. J. M. Lerner and A. Thevenon, “The optics of spectroscopy, a tutorial,” http://www.jyhoriba.it/itdivisions/OOS/index.htm.

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