In this paper, the effect of noise on the number of effective channels
(color filters) used to record a color image is investigated, Transmi
ttances of color filters are calculated that minimize the mean square
error that occurs when estimating, from the recorded data, the colors
in the image under a collection of viewing illuminants. Since the resu
lts indicate that a significant improvement in color correction accura
cy is achieved by using four channels, there is good reason to conside
r using four-tuples for representation of colorimetric information.