A new chromatic-adaptation model is proposed to determine corresponding fundamental tristimulus values that elicit the same colour appearance over changes in illumination conditions, integrating several hypotheses put forward by earlier researchers such as the linear: von Kries and Helson et al.; the nonhomogeneous and linear: Burnham et al.; the nonlinear: MacAdam, Hunt, Bartleson, BFD, RLAB, LLAB and so on, the new model emerges as a nonhomogeneous, linear model incorporating von Kries coefficients with nonlinearities. No covert information is required beyond a knowledge of the tristimulus values of samples and illuminants. To compare the performance of this model with those of other currently available transformation methods, the corresponding-col ours data from four independent studies of chromatic adaptation are used. The results indicate that the new model agrees well with the four sets of data used. The new model gives more accurate prediction to these data than the others tested. Hence, it is obvious that the proposed model can give accuracy as well as generality and simplicity. The new nonhomogeneous, linear model is more suitable for chromatic adaptation than the others tested at least for the four independent sets of experimental data employed.