Abstract: The task of transforming a description of the color of a pixel from one color space (e.g., CMYK) to another (e.g., RGB) results from (1) obtaining a first approximation of the transformation from a base lookup table, and (2) interpolating between this first approximation and a set of neighboring approximations. The interpolation task is also carried out by a loop table, in this case a second table: the delta table. The use of lookup tables for both the first approximation and interpolation tasks produces color transformations which are extremely rapid. A simplifying assumption about the nature of the delta function, the assumption of collinearity of delta functions across broad color regions, makes it possible to use a delta table of small size.