In order to improve the picture quality of X-rays, a read-out control is provided for controlling a read-out device such that a first storage phosphor layer, which has a first thickness d1, is read out by the read-out device controlled in a first read-out mode, and a second storage phosphor layer, which has a second thickness d2 which is greater than the first thickness d1, is read out by the read-out device controlled in a second read-out mode, the second read-out mode being different from the first read-out mode. The scan parameters of the read-out device set in the first read-out mode are different from the scan parameters set in the second read-out mode in at least one scan parameter. The scan parameters are, for example, the size of the pixels, a pulse duration and/or intensity and/or width of a focus range of stimulation light, integration time and/or feed time of the detector.