A method of reconstructing an image function on the basis of a plurality of projection profiles corresponding to a plurality of projection directions through a region of investigation, each projection profile including a series of value positions, wherein measured projection values corresponding to projection lines parallel to the respective projection direction are assigned to respective value positions and a plurality of remaining value positions are empty, comprises the steps of (a) assigning first interpolation values to the empty value positions for constructing a plurality of interpolation profiles on the basis of the projection profiles, wherein the first interpolation values are obtained from a first interpolation within a group of measured projection values having the same value position in different projection profiles, and (b) determining the image function by applying a predetermined reconstruction algorithm on the interpolation profiles.