An exploratory factor analysis of the reflectance spectral distributio
ns of a sample of natural and man-made objects yields a factor pattern
remarkably similar to psychophysical color-matching curves. The goodn
ess-of-fit indices from a maximum likelihood confirmatory factor model
with fixed factor loadings specified by empirical trichromatic color-
matching data indicate that the human visual system performs near to a
n optimum value for an ideal trichromatic system composed of three lin
ear components. An unconstrained four-factor maximum likelihood model
fits significantly better than a three-factor unconstrained model, sug
gesting that a color metric is better represented in foul dimensions t
han in a three-dimensional space. This fourth factor can be calculated
as a nonlinear interaction term between the first three factors; thus
, a trichromatic input is sufficient to compute a color space of four
dimensions. The visual system may exploit this nonlinear dependency in
the spectral environment in order to obtain a four-dimensional color
space without the biological cost of a fourth color receptor.