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Landweber Iterative Methods for Angle-limited Image Reconstruction 被引量:2

Landweber Iterative Methods for Angle-limited Image Reconstruction
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摘要 We introduce a general iterative scheme for angle-limited image reconstruction based on Landwebet's method. We derive a representation formula for this scheme and consequently establish its convergence conditions. Our results suggest certain relaxation strategies for an accelerated convergence for angle-limited image reconstruction in L^2-norm comparing with alternative projection methods. The convolution-backprojection algorithm is given for this iterative process. We introduce a general iterative scheme for angle-limited image reconstruction based on Landwebet's method. We derive a representation formula for this scheme and consequently establish its convergence conditions. Our results suggest certain relaxation strategies for an accelerated convergence for angle-limited image reconstruction in L^2-norm comparing with alternative projection methods. The convolution-backprojection algorithm is given for this iterative process.
机构地区 School of Science LMAM
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2009年第2期327-334,共8页 应用数学学报(英文版)
基金 Supported by the National Natural Science Foundation of China(No.60772041,60325101,60272018,60628102) the National Key Basic Research Special Foundation(2003CB716101),Ministry of Education(306017) Engineering Research Institute of Peking University,and Microsoft Research Asia.
关键词 The Landweber iteration angle-limited image reconstruction the selections of relaxation coefficients convolution-backprojection algorithm The Landweber iteration angle-limited image reconstruction the selections of relaxation coefficients convolution-backprojection algorithm
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