A data carrier printed by line intaglio having a halftone image represented by irregular line structures in the manner of an engraving. The line structures are superimposed at least partly by fine structures rendered in positive or negative representation. Methods are provided for generating and processing irregular line structures as digital image data on a computer following individual specifications by an operator. The line structures are transferred to a line intaglio printing plate. The digital image data is used for controlling an engraving apparatus. In the alternative, other printing processes may be involved wherein the digital image data is superimposed at least partly with fine structures rendered in positive or negative representation.