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

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