A computed tomography imaging process, including: acquiring projection images of an object by detecting radiation from a source that has passed through the object for respective different relative orientations of the object and the radiation; and processing the projection images to generate a tomogram of the object; wherein the radiation passes through the object in the form of a diverging conical beam, and the different relative orientations of the object and the beam of radiation define two or more complete trajectories of the beam along the object, the complete trajectories being mutually offset, a complete trajectory being defined as one that satisfies the Tuy criterion for at least a substantial fraction of a corresponding reconstructed tomogram; the process including further the steps of: (a) processing the projection images for each of the two or more complete trajectories to generate corresponding first tomograms, wherein the distance from the radiation source varies with spatial location within the object in accordance with the corresponding complete trajectory; and generating a further tomogram as a weighted combination of the first tomograms; or (b) generating weighted combinations of corresponding projection images for the two or more complete trajectories, and generating a tomogram from the weighted combinations of projection images. acquiring projection images of an object by detecting radiation from a source that has passed through the object for respective different relative orientations of the object and the radiation; and processing the projection images to generate a tomogram of the object; wherein the radiation passes through the object in the form of a diverging conical beam, and the different relative orientations of the object and the beam of radiation define two or more complete trajectories of the beam along the object, the complete trajectories being mutually offset, a complete trajectory being defined as one that satisfies the Tuy criterion for at least a substantial fraction of a corresponding reconstructed tomogram; the process including further the steps of: (a) processing the projection images for each of the two or more complete trajectories to generate corresponding first tomograms, wherein the distance from the radiation source varies with spatial location within the object in accordance with the corresponding complete trajectory; and generating a further tomogram as a weighted combination of the first tomograms; or (b) generating weighted combinations of corresponding projection images for the two or more complete trajectories, and generating a tomogram from the weighted combinations of projection images. (a) processing the projection images for each of the two or more complete trajectories to generate corresponding first tomograms, wherein the distance from the radiation source varies with spatial location within the object in accordance with the corresponding complete trajectory; and generating a further tomogram as a weighted combination of the first tomograms; or (b) generating weighted combinations of corresponding projection images for the two or more complete trajectories, and generating a tomogram from the weighted combinations of projection images.