1. A method for reconstructing an image dataset based on a projection dataset acquired with the aid of an x-ray computed tomography apparatus, the method comprising: reconstructing a first image dataset based on the projection dataset; generating an edge image dataset, indicating 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; and generating an output image dataset based on the first image dataset, with a 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 such that an amount that the resolution of the output image dataset is increased as compared to the first image dataset is less at the edges having a relatively higher noise level than at the edges having a relatively lower noise level.