Abstract

The characteristics of the whole set of tristimulus values for “all” object surfaces can be studied by applying statistical methods. This leads to the determination (a) of the relative numbers of object colors that are metameric with respect to any fixed reference color, and (b) of the distribution of the tristimulus values in one trichromatic system of all object surfaces that are metameric in another trichromatic system. Subject to certain restrictions, Gaussian distributions are found to apply. The conclusions bear on important colorimetric problems such as color-rendering and degree of metamerism.

© 1962 Optical Society of America

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