1. A method for producing CT images of a patient with an autonomously cyclically moving heart with temporal areas of rest phases and activity phases and a region of interest, where the region of interest is located a distance away from the heart and has different temporal areas of rest phases and activity phases than the heart, the method comprising: monitoring the cyclic moving of the heart and detecting the temporal areas of rest phases of the heart; scanning the region of interest by a gantry including at least one x-ray tube with a focus that radiates a conical beam onto at least one opposite detector of at least one of multi-row and planar design; scanning at a relative feed rate in the z-direction between the gantry and patient in such a way that the scanned areas during a cyclically occurring rest phase at least touch; and reconstructing CT images of the patient using data that is received from a scan in which at least the rest phases of the region of interest are calculated according to the distance between the scanned region of interest and the heart, with the monitored cyclic moving of the heart being used as a temporal reference.