This paper proposes an implementation of tetrahedral interpolation based on a nested structure of look-up tables for fast device dependent/independent color transformation. The CRT and ink jet printer models were used for exemplification and the procedure was used for colorimetric calibration in image transmission, but the method is generally applicable. The models are based on look-up tables and tetrahedral interpolation of LUT values. The direct transformation avoids completely the searching procedure for the tetrahedron that includes the interpolated color. For the reverse transformation, the searching procedure is applied to a reduced set of tetrahedrons and is optimized based on the use of the nested tables structure. The time performance of algorithm increases with the size of LUT, and varies from 8 times for 5×5×5 LUT to 4000 for 33×33×33 LUT. The color gamuts of the two devices are represented and compared in Lab and Luv color spaces in order to select the optimum space to perform the mapping procedure of outside gamut colors.