In an embodiment, an initial segmentation of an examination object is fixed, wherein an attenuation coefficient is assigned to each segment of the segmentation. Raw radiation data about the examination object arranged in the positron emission tomography scanner is acquired, and a correction factor is determined for each pixel with the aid of an optimization method, in which the probability of the acquired raw radiation data is maximized taking into account the segmentation and the attenuation coefficients assigned to the segments. A statistical parameter of the correction factors is determined for each segment and the segmentation is corrected by subdividing a segment as a function of the statistical parameter determined for the segment. A segment correction factor is determined for each segment from the correction factors assigned to the segment and the attenuation coefficients assigned to the segments are corrected as a function of the segment correction factors.