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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

  • Vol. 9, Iss. 1 — Jan. 1, 1992
  • pp: 25–29

Mathematical reconstruction of color-matching functions

Javier Romero, Luis Jiménez del Barco, and Enrique Hita  »View Author Affiliations


JOSA A, Vol. 9, Issue 1, pp. 25-29 (1992)
http://dx.doi.org/10.1364/JOSAA.9.000025


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Abstract

We calculate the fast Fourier transforms of the color-matching functions for the CIE 1931 standard observer with reference to the XYZ primaries. From an analysis of the Fourier-transform moduli thus obtained, we were then able to study the sampling theorem to get mathematical formulas that lead to the reconstruction of the color-matching functions at limiting frequencies of 0.02 and 0.05 cycle/nm. This reconstruction proves to be highly reliable at a sampling interval of 10 nm and perfectly acceptable at 25 nm and even wider intervals.

© 1992 Optical Society of America

History
Original Manuscript: April 5, 1990
Revised Manuscript: August 6, 1991
Manuscript Accepted: August 16, 1991
Published: January 1, 1992

Citation
Javier Romero, Luis Jiménez del Barco, and Enrique Hita, "Mathematical reconstruction of color-matching functions," J. Opt. Soc. Am. A 9, 25-29 (1992)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-9-1-25

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