A method of mapping colors which are outside a reproduction device's color gamut to reproducible colors uses a boundary of a reduced gamut. In a three-dimensional color space the reduced gamut is derived from the reproduction device's gamut by reducing its size in all three dimensions. Reduced-gamut clipping-vectors are determined by clipping the out-of-gamut colors onto the reduced-gamut boundary, and the out-of-gamut colors are mapped to those colors at which the reduced-gamut clipping-vectors intersect the reproduction device's gamut boundary. Thus out-of-gamut colors associated with clipping-vectors of different directions that are clipped onto the same point, or adjacent points, of the reduced-gamut boundary are mapped to points spaced apart, or spaced farther apart, on the reproduction device's gamut boundary.