1. A method of converting, in an image processor, from a first tri-color space to a second tri-color space, said method comprising the steps of: reading color components of pixels of an image stored in a first tri-color space; executing a single interpolation in each cycle so as to perform tri-linear conversion of said color components from said first color space to said second color space, said tri-linear conversion including reading resultant transformation values in lookup tables for each of said pixel color components, and performing linear interpolations on said transformation values; completing said tri-linear conversion for each color component of said pixels from said first color space to said second color space in fourteen cycles; repeating said tri-linear conversion for each color component yet to be converted; and storing said converted color components in a specific storage location.