Abstract
In this paper, we deal with the problem on tomographic image reconstruction from limited view angle projection data. Based on the Helgason-Ludwig consistency condition, a new procedure for completion of incomplete projection data is introduced to improve the reconstructed image quality. Using regularization method the robust algorithm to the presence of noise is presented. The performance of new algorithm was confirmed in the numerical simulation. The reconstructed images were quantitatively improved by this procedure with realistic amount of computation.
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