Mathematical reconstruction of color-matching functions

Javier Romero, Luis Jiménez del Barco, Enrique Hita
1992 Optical Society of America. Journal A: Optics, Image Science, and Vision  
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
more » ... m and perfectly acceptable at 25 nm and even wider intervals.
doi:10.1364/josaa.9.000025 fatcat:6eldu3qgfveq7agledfvitqitq