OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 10, Iss. 7 — Jul. 1, 1993
  • pp: 1499–1508

Measure of goodness of a set of color-scanning filters

Poorvi L. Vora and H. Joel Trussell  »View Author Affiliations

JOSA A, Vol. 10, Issue 7, pp. 1499-1508 (1993)

View Full Text Article

Enhanced HTML    Acrobat PDF (1251 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Accurate scanning of a color image, which is absolutely essential for good color reproduction, can ensure that all relevant information about the color stimulus of a signal is obtained. The set of scanning filters is hence an important component of a color reproduction system. In this paper we introduce a measure of the goodness of a set of color-scanning filters. This measure relates the space spanned by the scanning filters to the human visual subspace. The q factor of a single color-scanning filter is shown to be a particular case of the measure. Experimental results are presented to justify the appropriateness of the measure.

© 1993 Optical Society of America

Original Manuscript: March 20, 1992
Revised Manuscript: February 23, 1993
Manuscript Accepted: February 23, 1993
Published: July 1, 1993

Poorvi L. Vora and H. Joel Trussell, "Measure of goodness of a set of color-scanning filters," J. Opt. Soc. Am. A 10, 1499-1508 (1993)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. H. J. Trussell, “Applications of set theoretic methods to color systems,” Color Res. Appl. 16, 31–41 (1991). [CrossRef]
  2. J. B. Cohen, W. E. Kappauf, “Metameric color stimuli, fundamental metamers and Wyszecki’s metameric blacks,” Am. J. Psychol. 95, 537–564 (1982). [CrossRef] [PubMed]
  3. B. K. P. Horn, “Exact reproduction of color images,” Comput. Vision Graphics Image Process. 26, 135–167 (1984). [CrossRef]
  4. B. A. Wandell, “The synthesis and analysis of color images,”IEEE Trans. Anal. Mach. Intell. 9, 2–13 (1987). [CrossRef]
  5. M. J. Vrhel, H. J. Trussell, “Color correction using principal components,” Color Res. Appl. 17, 328–338 (1992). [CrossRef]
  6. W. A. Shapiro, “Generalization of tristimulus coordinates,”J. Opt. Soc. Am. 56, 795–802 (1966). [CrossRef]
  7. H. E. J. Neugebauer, “Quality factor for filters whose spectral transmittances are different from color mixture curves, and Its application to color photography,”J. Opt. Soc. Am. 46, 821–824 (1956). [CrossRef]
  8. G. H. Golub, C. F. Van Loan, Matrix Computations (Johns Hopkins U. Press, Baltimore, Md., 1989).
  9. T. Kato, A Short Introduction to Perturbation Theory for Linear Operators (Springer-Verlag, New York, 1982), pp. 20–21.
  10. S. R. Searle, Matrix Algebra Useful for Statistics (Wiley, New York, 1982), p. 63.
  11. J. R. Magnus, H. Neudecker, Matrix Differential Calculus with Applications in Statistics and Econometrics (Wiley, New York, 1988) p. 211.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited