Method for digital image adaption for printing an image on a printing apparatus

A method for mapping source colors of an image to destination colors reproducible by an printing apparatus, the source colors and destination colors having a lightness component, wherein the transformation includes a translation and a rotation, the combination of which maps the source black point onto the destination black point and source white point onto a point on the destination lightness line, a compression which maps the rotated and translated source white point onto the destination white point and in which the destination black point is a fixed point, and a gamut mapping, which leaves the lightness component of each color unchanged and maps each compressed color onto a destination color.