An apparatus for transforming first color image data used on a first image processing device into second color image data used on a second image processing device, based on a color transformation lookup table to have a first set of values and a second set of values that represent the relationship between color gamuts of the first image processing device and the second image processing device,
- wherein said relationship between color gamuts of the first image processing device and the second image processing device is obtained through a process that comprises a step in which, in a certain color region in a color space, the hue angle of the second color image data is determined by rotating the hue angle of the corresponding first color image data.