Abstract: In a process for printing a halftone image a plurality of image data describing the halftone step of a halftone dot of a model image are taken over in processing frames. Color step values which determine color gradations of color dots and can be outputted optionally at print positions of a printing screen are obtained from the image data contained in the processing frames. To produce a reproduction image with a large number of halftone steps and, at the same time, a high local resolution in the region of contrast jumps of the model image, a color step value is obtained from each image datum by assigning a color step value existing in the reference pattern associated with the halftone step according to the halftone step described by the image datum and its position in the processing frame.