A method is disclosed for determining a motion field in an image space of a CT image data set for a partially and cyclically moving object, wherein a projection data set from a CT system covering a motion phase and a projection angle range is recorded, and an iterative determination of the motion field by minimizing a cost function from CT image data sets which are motion-compensated and reconstructed making use of motion fields and which have a first image resolution, with a first analytical reconstruction algorithm, the cost function being based on raw data or transformed into the image space. A method for generating a motion-compensated CT image data set for a partially and cyclically moving object is also disclosed, along with a computer system for image reconstruction and a CT system.
