CONVERGENCE ANALYSIS OF THE LOPING OS-EM ITERATIVE VERSION OF THE CIRCULAR RADON TRANSFORM |
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| Affiliation: | Faculty of Science, Ningbo University, Ningbo, 315211, China |
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| Abstract: | The loping OS-EM iteration is a numerically efficient regularization method for solving ill-posed problems. In this article we investigate the loping OS-EM iterative method in connection with the circular Radon transform. We show that the proposed method converges weakly for the noisy data. Numerical tests are presented for a linear problem related to photoacoustic tomography. |
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| Keywords: | ill-posed equations regularization loping OS-EM iteration circular Radon transform |
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