1. A method for producing a corrected reconstructed image from acquired tomographic projection data, the method including: reconstructing acquired projection data corresponding to a region into an uncorrected reconstructed image; classifying pixels of the uncorrected reconstructed image at least into high density, medium density, and low density pixel classes; replacing pixels of the uncorrected reconstructed image that are of the high density and low density classes with pixel values of the low density pixel class to generate a synthetic image; forward projecting the synthetic image to generate synthetic projection data; replacing acquired projection data contributing to the pixels of the high density class with corresponding synthetic projection data to generate corrected projection data; and reconstructing the corrected projection data into a corrected reconstructed image.