Document processing systems and methods are presented for transforming color image data from an input color space to output color space using space filling interpolation to mitigate loss of color information at the corners of color gamuts. An initial interpolation of the input color space pixel values for each pixel is performed to compute initial output color space pixel values, and these are converted into luminance-chrominance color space pixel values. An adjustment value λ is then computed according to the luminance-chrominance color space pixel values, and final output color space pixel values are computed according to the initial output color space pixel values and the adjustment value λ.