A method for illuminating a specimen or a region of the specimen (region of interest, ROI), the information indicating whether and in what manner a specific point on the specimen is to be illuminated, being stored in a data memory under a specific address. A change in the position, orientation, and/or shape of the specimen is captured, and a transformation of the coordinates of the image points to be illuminated is derived therefrom; memory addresses are uniquely assigned to the transformed coordinates; and, on the basis of the memory addresses, the data memory is accessed, and its contents is read out in order to control the light source.