CONVERGENCE ANALYSIS OF THE LOPING OS-EM ITERATIVE VERSION OF THE CIRCULAR RADON TRANSFORM

作     者：郭娟 王金平 Juan GUO;Jinping WANG

作者机构：Faculty of ScienceNingbo University 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2014年第34卷第6期

页      面：1875-1884页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the National Natural Science Foundation of China(61271398) K.C.Wong Magna Fund in Ningbo University Natural Science Foundation of Ningbo City(2010A610102) 

主　　题：ill posed equations regularization loping OS EM iteration circular Radon transform 

摘      要：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.