The subject application is directed to a color space transformation system and method employing multiple three-dimensional linear interpolations. First, N-channel multi-dimensional color space color image data is received into a color lookup table, which includes entries having values in a multi-dimensional color space corresponding to selected values in an N-channel multi-dimensional color space, with N being any integer greater than 2. Values in the color lookup table are then addressed in accordance with the received image data. Next, 2N/8 three-dimensional interpolations are then applied to an output of the lookup table corresponding to the received image data. Thereafter, (2N/8−1)*3 linear interpolations are then performed among outputs from the three-dimensional interpolation. Transformed image data is then output in accordance with an output of the linear interpolation.