In order to construct a color reproduction system, we have investigated an appropriate method to determine a high performance color masking function. Combining the modeling technique of the scanner and the Blackbox model, datum on a preliminarily printed reference pattern was sampled uniformly. By using those samples, we have carried out the multiple regression analysis to optimize the function under a minimum color-difference condition. As a result, printed-output that has no degradation at all compared with an original image could be obtained. Also, it was possible to optimize coefficients of the function within a minute. It is expected that this system will be effective for use in the adjustment and/or the maintenance of digital color-copier related products.