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CN 11-3017/P
Volume 18 Issue 3
Sep.  2009
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LI Hong-yan, TONG Li-li. Restricted Landweber Iteration Algorithm for Image Reconstruction from Projection[J]. CT Theory and Applications, 2009, 18(3): 10-14.
Citation: LI Hong-yan, TONG Li-li. Restricted Landweber Iteration Algorithm for Image Reconstruction from Projection[J]. CT Theory and Applications, 2009, 18(3): 10-14.
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Restricted Landweber Iteration Algorithm for Image Reconstruction from Projection

  • Department of Mathematical Science and Computing Technology, Central South University, Changsha 410083, China

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  • Received Date: June 22, 2009
  • Available Online: December 14, 2022
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    • Abstract
  • Image reconstruction from incomplete projections is a key problem in image reconstruction. In this paper, based on least-square optimization, some unknown error are adopted as inequality constraints. A new restricted iterative algorithm using Landweber iteration is proposed for the ill-posed problem. Compared with non-restricted iterative algorithm, under the condition of same computation time, this algorithm is more stable, and can give less error and higher fitness image. The effectiveness of the algorithm has been verified by image reconstruction using parallel-scanning data. The quality of reconstructed images clearly indicates the superiority of the proposed algorithm.
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