1. A color processing apparatus comprising: a first calculation unit configured to calculate a plurality sets of tristimulus values from input spectral data using a plurality sets of color matching functions; a second calculation unit configured to calculate correction coefficients for tristimulus values based on derivation methods of the plurality sets of color matching functions; and a third calculation unit configured to calculate corrected tristimulus values from the plurality sets of tristimulus values using the correction coefficients, wherein the first to third calculation units are implemented using a processor.