A computed tomography apparatus, the computed tomography apparatus comprising: - a radiation source for emitting a conical radiation beam for traversing an examination region of the computed tomography apparatus, - a moving unit (1, 7, 8) for moving the radiation source and the examination region relative to each other along a helical trajectory around a rotational axis, - a beam shaper for shaping the conical radiation beam, - a detector for generating detection values depending on the conical radiation beam after having traversed the examination region, - a weight providing unit for providing, for combinations of voxels of an image of the examination region and detection values, wherein each combination comprises a voxel and a detection value which corresponds to the voxel, weights for weighting the detection values, - a reconstruction unit for reconstructing the voxels, wherein for reconstructing a voxel the reconstruction unit is adapted to perform a parallel rebinning, in which detection values are sorted and interpolated such that a projection consists of detection values with corresponding parallel rays within a plane perpendicular to the rotational axis, and to weight redundant detection values, which correspond to rays along the same path traversing the voxel to be reconstructed which have been acquired at different times, with the weights provided for the combinations of the voxel to be reconstructed and the respective corresponding detection values, and to reconstruct the voxel from the weighted redundant detection values, wherein said weights are normalised and depend on the pitch of the helical trajectory and on the aperture of the part of the conical radiation beam of the ray of the conical radiation beam corresponding to said detection values, characterised in that the beam shaper is adapted to shape the conical radiation beam such that for at least a part of the detection values an average of the normalised weights corresponding to the voxels on a ray corresponding to the respective detection value is positively correlated with the intensity of the respective part of the conical radiation beam, on which the respective detection value depends, before traversing the examination region. - a radiation source for emitting a conical radiation beam for traversing an examination region of the computed tomography apparatus, - a moving unit (1, 7, 8) for moving the radiation source and the examination region relative to each other along a helical trajectory around a rotational axis, - a beam shaper for shaping the conical radiation beam, - a detector for generating detection values depending on the conical radiation beam after having traversed the examination region, - a weight providing unit for providing, for combinations of voxels of an image of the examination region and detection values, wherein each combination comprises a voxel and a detection value which corresponds to the voxel, weights for weighting the detection values, - a reconstruction unit for reconstructing the voxels, wherein for reconstructing a voxel the reconstruction unit is adapted to perform a parallel rebinning, in which detection values are sorted and interpolated such that a projection consists of detection values with corresponding parallel rays within a plane perpendicular to the rotational axis, and to weight redundant detection values, which correspond to rays along the same path traversing the voxel to be reconstructed which have been acquired at different times, with the weights provided for the combinations of the voxel to be reconstructed and the respective corresponding detection values, and to reconstruct the voxel from the weighted redundant detection values, wherein said weights are normalised and depend on the pitch of the helical trajectory and on the aperture of the part of the conical radiation beam of the ray of the conical radiation beam corresponding to said detection values,