1. A method for reconstructing image data from acquired tomographic projection data measurements comprising one or more missing data measurements, the method comprising: generating a coarse-resolution projection data set from the acquired projection data measurements; performing an iterative reconstruction on the coarse-resolution projection data set to generate a coarse-resolution reconstructed data set; reprojecting the coarse-resolution reconstructed data set to obtain one or more estimates for the one or more missing data measurements; recombining the one or more estimated missing data measurements with the acquired projection data measurements, to generate a recombined data set; and applying a direct reconstruction algorithm to the recombined data set to generate the reconstructed image data.