1. A color conversion system operable to convert CIELab color values in image data to a color space, the color conversion system comprising: a processor operable to implement one or more of the following: a modeling module operable to generate a numerical model according to a radial basis function for converting the CIELab color values in the image data to the color space, wherein the numerical model includes error approximations operable to form the radial basis function into a linear process wherein the modeling module is further operable to generate an L 1 error approximation for neutral color regions, an L 2 error approximation for medium color regions and an L ∞ error approximation for saturated color regions; and a color converter operable to convert the CIELab color values in the image data to the color space based on the numerical model, wherein the error approximations include chroma C* ab of the CIELab colors values according to a neutral color region of about 0≦C* ab ≦7, a medium color region of about 7<C* ab ≦30 and a saturated color region of about C* ab >30.