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X-ray computed tomography (CT) is one of widely used diagnostic tools formedical and dental tomographic imaging of the human body. However, the standardfiltered backprojection reconstruction method requires the complete knowledgeof the projection data. In the case of limited data, the inverse problem of CTbecomes more ill-posed, which makes the reconstructed image deteriorated by theartifacts. In this paper, we consider two dimensional CT reconstruction usingthe horizontally truncated projections. Over the decades, the numerous resultsincluding the sparsity model based approach has enabled the reconstruction ofthe image inside the region of interest (ROI) from the limited knowledge of thedata. However, unlike these existing methods, we try to reconstruct the entireCT image from the limited knowledge of the sinogram via the tight frameregularization and the simultaneous sinogram extrapolation. Our proposed modelshows more promising numerical simulation results compared with the existingsparsity model based approach.

Limited Tomography Reconstruction via Tight Frame and Sinogram Extrapolation