In a method and system to generate a print image on a carrier material, the surface of a print substrate is covered with at least one of an ink-repelling and an ink-attracting layer. In a structuring process, ink-attracting regions and ink-repelling regions are generated corresponding to a structure of the print image to be printed. An ink-attracting carrier substance is applied which can be an ink or other carrier substance on the print substrate surface that adheres to the ink-attracting regions and is not accepted by the ink-repelling regions. The carrier substance is fixed and subsequently the fixed carrier substance is inked with ink at least once. The applied ink is transferred to the carrier material. Before a new structuring process, the print substrate surface is cleaned and newly covered.