The effect of noise on the number of effective channels (color filters) used to record a color image is investigated. Transmittances of color filters are calculated which 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 results indicate that a significant improvement in color correction accuracy is achieved by using four channels, there is good reason to consider using four-tuples for the representation of colorimetric information.
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