In the case of a multiple semiconductor laser structure containing a plurality of laser pn junctions stacked vertically one on top of the other, different operating temperatures of the active zones occur during operation on account of the different distance within the layer structure from a common heat sink. Registration generally includes detecting a first feature set in the visible-light image data, detecting a second feature set in the infrared image data and generating a plurality of overlapping alignments of the infrared image data and the visible-light image data. The process is characterized in that the lasting functional linkup brings about at least one transfer from a bidirectional element to another bidirectional element of at least one information creating a hierarchical relationship between these two elements.