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CONVERGENCE ANALYSIS OF THE LOPING OS-EM ITERATIVE VERSION OF THE CIRCULAR RADON TRANSFORM 被引量：2

CONVERGENCE ANALYSIS OF THE LOPING OS-EM ITERATIVE VERSION OF THE CIRCULAR RADON TRANSFORM
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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. 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.
作者 郭娟 王金平
机构地区 Faculty of Science
出处 《Acta Mathematica Scientia》 SCIE CSCD 2014年第6期1875-1884,共10页 数学物理学报（B辑英文版）
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)
关键词 ill-posed equations regularization loping OS-EM iteration circular Radon transform ill-posed equations regularization loping OS-EM iteration circular Radon transform
分类号 O171 [理学—基础数学]
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二级参考文献38

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共引文献13

同被引文献9

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  • 8史婷婷,王金平.RECONSTRUCTION OF THE ATTENUATED RADON TRANSFORM IN π-SCHEME SHORT-SCAN SPECT[J].Acta Mathematica Scientia,2013,33(6):1615-1626. 被引量：3
  • 9沈正洁,王金平.THE IMPROVED RECONSTRUCTION METHOD FOR NONUNIFORM ATTENUATED SPECT DATA[J].Acta Mathematica Scientia,2015,35(3):527-538. 被引量：1

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Acta Mathematica Scientia
2014年 第6期

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