A method is disclosed for detecting movements and correcting movements in tomographic and projective image series. Further, a tomography or projection system is further disclosed for implementing this method. In at least one embodiment, the temporal changes in an image series with a multiplicity of temporally subsequent image data records are determined and a transformation function for correcting movements is calculated using registration methods, by which movements can be eliminated. To this end, in at least one embodiment a motion detection algorithm recognizes and distinguishes scan volumes and times at which a movement or no movement occurs. Subsequently, in at least one embodiment an algorithm for correcting the movement in those scan volumes in which a movement was detected is implemented, with the correction referring to respectively representative image intervals.