A method is disclosed for generating computed tomography image data of a volume of interest from X-ray CT data sets generated by a computed tomography system during scanning of an examination subject on a helical path rotating around a longitudinal system axis in the infeed direction. In at least one embodiment, at least two volume-based reconstructions of the volume of interest are performed by way of differential back-projection over surfaces constituted by different groups of M-lines, followed in each case by an inverse Hilbert transformation. The method further includes combining different reconstructed volumes to form a final reconstruction of the volume of interest.