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Landweber iterative methods for angle-limited image reconstruction

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Abstract

We introduce a general iterative scheme for angle-limited image reconstruction based on Landweber’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.

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Authors and Affiliations

  1. School of Science, Beijing Jiaotong University, Beijing, 100044, China

    Gang-rong Qu

  2. LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, China

    Ming Jiang

Authors
  1. Gang-rong Qu
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  2. Ming Jiang
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Correspondence to Gang-rong Qu.

Additional information

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.

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Qu, Gr., Jiang, M. Landweber iterative methods for angle-limited image reconstruction. Acta Math. Appl. Sin. Engl. Ser. 25, 327–334 (2009). https://doi.org/10.1007/s10255-008-8132-8

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  • DOI: https://doi.org/10.1007/s10255-008-8132-8

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