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A convergence analysis of the loping OS-EM iterative version of the circular Radon transform. (English) Zbl 1340.65311

Summary: 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.

MSC:

65R10 Numerical methods for integral transforms
44A12 Radon transform
65R32 Numerical methods for inverse problems for integral equations
92C55 Biomedical imaging and signal processing
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