Acta mathematica scientia, Series B >
CONVERGENCE ANALYSIS OF THE LOPING OS-EM ITERATIVE VERSION OF THE CIRCULAR RADON TRANSFORM
Received date: 2013-04-01
Revised date: 2013-03-11
Online published: 2014-11-20
Supported by
This work was supported by the National Natural Science Foundation of China (61271398), K. C.Wong Magna Fund in Ningbo University and Natural Science Foundation of Ningbo City (2010A610102).
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.
GUO Juan , WANG Jin-Ping . CONVERGENCE ANALYSIS OF THE LOPING OS-EM ITERATIVE VERSION OF THE CIRCULAR RADON TRANSFORM[J]. Acta mathematica scientia, Series B, 2014 , 34(6) : 1875 -1884 . DOI: 10.1016/S0252-9602(14)60131-4
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