1. A method for producing an image with a computed tomography (CT) system, the steps comprising: a) positioning a subject in the CT system; b) acquiring a first undersampled image data set from a selected region of interest in the subject, the undersampled image data set comprising a plurality of projections acquired at a corresponding plurality of projection angles; c) transforming the undersampled image data set to form a corresponding first undersampled k-space data set; d) repeating steps b) and c) to produce a second undersampled k-space data set from a plurality of projections acquired at projection angles interleaved with the projection angles used to acquire the first undersampled image data set; e) combining k-space data from one of said undersampled k-space data sets with peripheral k-space data from the other undersampled k-space data set; and f) reconstructing an image of the region of interest by transforming the combined k-space data.