Method of, in a color mapper, mapping source colors represented by color coordinates in the source device-dependent color space of a source color device from a source color gamut of said source color device into the target color gamut of a target color device thus resulting in target colors represented by color coordinates in the target device-dependent color space of said target color device, wherein said source color device is modeled by a source forward transform defined to transform color coordinates representing a color in said source device-dependent color space into color coordinates representing approximately the same color in a device-independent color space, wherein a target inverse transform is defined to transform color coordinates representing a color in said device-independent color space into color coordinates representing approximately the same color in said target device-dependent color space such as to model said target color device for colors located inside said target color gamut and is also defined as being able to operate for colors that are located outside said target color gamut, said method comprising: - transforming color coordinates representing each of said source colors in said source device-dependent color space into color coordinates representing said source color in the target device-dependent color space of said target color device by applying said source forward transform and then said target inverse transform to the color coordinates representing said color in said source device-dependent color space, - defining a source color boundary description of the source color gamut in the source device-dependent color space and a target color boundary description of the target color gamut in the target device-dependent color space, - applying said transforming to said source color boundary description in order to have said source color gamut represented in said target device-dependent color space, - in said target device-dependent color space, defining a gamut mapping operator to be able to map colors located inside the source gamut boundary description operative in the target device dependent color space into colors located within the target gamut boundary description, and - applying said gamut mapping operator to said source color in order to map, in said target device-dependent color space, said source color as represented in said target device-dependent color space from said source color gamut represented in said target device-dependent color space into said target color gamut, resulting in a target color represented by color coordinates in said target device-dependent color space. - transforming color coordinates representing each of said source colors in said source device-dependent color space into color coordinates representing said source color in the target device-dependent color space of said target color device by applying said source forward transform and then said target inverse transform to the color coordinates representing said color in said source device-dependent color space, - defining a source color boundary description of the source color gamut in the source device-dependent color space and a target color boundary description of the target color gamut in the target device-dependent color space, - applying said transforming to said source color boundary description in order to have said source color gamut represented in said target device-dependent color space, - in said target device-dependent color space, defining a gamut mapping operator to be able to map colors located inside the source gamut boundary description operative in the target device dependent color space into colors located within the target gamut boundary description, and - applying said gamut mapping operator to said source color in order to map, in said target device-dependent color space, said source color as represented in said target device-dependent color space from said source color gamut represented in said target device-dependent color space into said target color gamut, resulting in a target color represented by color coordinates in said target device-dependent color space.