A method and image reconstruction facility are disclosed for reconstructing an image dataset based on a projection dataset acquired with the aid of an x-ray computed tomography apparatus. With an embodiment of the method, a first image dataset is reconstructed based on the projection dataset and an edge image dataset is generated, which indicates a measure of an edge strength of edges occurring in at least one spatial/temporal direction in the first image dataset, as a function of location. An output image dataset is then generated based on the first image dataset, with the resolution in the first image dataset being increased as a function of location in at least one spatial/temporal direction taking into account the edge image dataset.