1. A method comprising: obtaining an input ICC profile defining an input color space associated with presentation data in a data stream received for output at a presentation device; obtaining an output ICC profile defining an output color space of the presentation device; generating an input LUT from the input ICC profile the input LUT having a size (Pin); generating an output LUT from the output ICC profile the output LUT having a size (Pout); determining the preferred size of the Link LUT based on Pin and Pout; and generating the Link LUT having the preferred size for converting input data specified using the input color space to output data using the output color space, wherein the preferred size of the Link LUT is determined so as to reduce loss of accuracy in the Color Conversion and to reduce computational time in generating the Link LUT.