A method includes introducing the examination object into an examination region of a combination device; recording emission computed tomography data over a measurement period and storing detection events and detection instants associated therewith; measuring magnetic resonance data of at least two subregions of the examination region at at least two instants during the recording period of the emission computed tomography data and storing the magnetic resonance data and the recording instants; determining motion information describing a motion of a region of the examination object at a first instant relative to the position at a second instant from the magnetic resonance data recorded at the first instant and the second instant, for each subregion; determining a motion model describing motion of the examination object, for the entire object, from information for the subregions; and calculating motion-corrected emission tomography data from detection events, detection instants and the motion model.