Method for motion compensation in CT reconstruction comprising the steps: - providing projection images of a CT scan, - creating intermediate images, wherein the intermediate images are created from a rebinning of gaps in the projection images, - calculating slice images by means of a back projection of the intermediate images on predetermined voxels of the slice images, wherein for each intermediate image and for each voxel based on a predetermined motion profile of the voxels during the recording of the projection images, the following steps are carried out: a) selecting an initial state of motion based on the intermediate image, b) calculating a reference voxel position (x M) of the voxel from its original voxel position (x) and from the motion profile relating to the initial state of motion, c) calculating a gap image position (p), at which the voxel at the reference voxel position (xM) has been mapped in the intermediate image, d) determining an amended state of motion of the voxel based on the calculated gap image position (p), e) calculating an amended voxel position (x') of the voxel from its original voxel position (x) and the motion profile relating to the amended state of motion, f) calculating an amended image position (p', q') at which the voxel has been mapped at the amended voxel position (x') in the intermediate image, g) using an image value of the intermediate image at the amended image position (p', q') for the back projection. - providing projection images of a CT scan, - creating intermediate images, wherein the intermediate images are created from a rebinning of gaps in the projection images, - calculating slice images by means of a back projection of the intermediate images on predetermined voxels of the slice images, wherein for each intermediate image and for each voxel based on a predetermined motion profile of the voxels during the recording of the projection images, the following steps are carried out: a) selecting an initial state of motion based on the intermediate image, b) calculating a reference voxel position (x M) of the voxel from its original voxel position (x) and from the motion profile relating to the initial state of motion, c) calculating a gap image position (p), at which the voxel at the reference voxel position (xM) has been mapped in the intermediate image, d) determining an amended state of motion of the voxel based on the calculated gap image position (p), e) calculating an amended voxel position (x') of the voxel from its original voxel position (x) and the motion profile relating to the amended state of motion, f) calculating an amended image position (p', q') at which the voxel has been mapped at the amended voxel position (x') in the intermediate image, g) using an image value of the intermediate image at the amended image position (p', q') for the back projection. a) selecting an initial state of motion based on the intermediate image, b) calculating a reference voxel position (x M) of the voxel from its original voxel position (x) and from the motion profile relating to the initial state of motion, c) calculating a gap image position (p), at which the voxel at the reference voxel position (xM) has been mapped in the intermediate image, d) determining an amended state of motion of the voxel based on the calculated gap image position (p), e) calculating an amended voxel position (x') of the voxel from its original voxel position (x) and the motion profile relating to the amended state of motion, f) calculating an amended image position (p', q') at which the voxel has been mapped at the amended voxel position (x') in the intermediate image, g) using an image value of the intermediate image at the amended image position (p', q') for the back projection.