Abstract

We have calculated the FFT's of the colormatching functions for the CIE1931 standard observer referred to the XYZ primaries and also a set of real primaries. The results obtained agree with those of Barlow¹ on applying the Fourier transform to the Smith and Pokorny's fundamental spectral sensitivities and Benzschawel et al.² in analyzing color-vision mechanisms based on various different models. From the analysis of the Fourier transform moduli of the color-matching functions, we were able to apply the sampling theorem to get mathematical formulas which led to the reconstruction of them at limiting frequencies of 0.02 or 0.05 cycle/nm. This reconstruction proves to be highly reliable at a sampling interval of 10 nm and perfectably acceptable at 25 nm or even wider intervals.

© 1990 Optical Society of America