Variable Weighted Ordered Subset Image Reconstruction Algorithm

Pan, Jinxiao; Zhou, Tie; Han, Yan; Jiang, Ming

doi:https://doi.org/10.1155/IJBI/2006/10398

International Journal of Biomedical Imaging

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Volume 2006 | Article ID 010398 | https://doi.org/10.1155/IJBI/2006/10398

Variable Weighted Ordered Subset Image Reconstruction Algorithm

Jinxiao Pan,^1,2Tie Zhou,¹Yan Han,²and Ming Jiang¹

Academic Editor: Seung Wook Lee

Received17 Feb 2006

Revised25 May 2006

Accepted18 Jul 2006

Published12 Oct 2006

Abstract

We propose two variable weighted iterative reconstruction algorithms (VW-ART and VW-OS-SART) to improve the algebraic reconstruction technique (ART) and simultaneous algebraic reconstruction technique (SART) and establish their convergence. In the two algorithms, the weighting varies with the geometrical direction of the ray. Experimental results with both numerical simulation and real CT data demonstrate that the VW-ART has a significant improvement in the quality of reconstructed images over ART and OS-SART. Moreover, both VW-ART and VW-OS-SART are more promising in convergence speed than the ART and SART, respectively.

References

M. Jiang and G. Wang, “Convergence studies on iterative algorithms for image reconstruction,” IEEE Transactions on Medical Imaging, vol. 22, no. 5, pp. 569–579, 2003.
View at: Publisher Site | Google Scholar
R. Gordon, R. Bender, and G. T. Herman, “Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and X-ray photography,” Journal of Theoretical Biology, vol. 29, no. 3, pp. 471–481, 1970.
View at: Publisher Site | Google Scholar
A. H. Andersen and A. C. Kak, “Simultaneous algebraic reconstruction technique (SART): a superior implementation of the ART algorithm,” Ultrasonic Imaging, vol. 6, no. 1, pp. 81–94, 1984.
View at: Publisher Site | Google Scholar
L. A. Shepp and Y. Vardi, “Maximum likelihood reconstruction for emission tomography,” IEEE Transactions on Medical Imaging, vol. 1, no. 2, pp. 113–122, 1982.
View at: Google Scholar
M. Jiang and G. Wang, “Development of iterative algorithms for image reconstruction,” Journal of X-Ray Science and Technology, vol. 10, no. 1-2, pp. 77–86, 2002.
View at: Google Scholar
D. J. Kadrmas, “Statistically regulated and adaptive EM reconstruction for emission computed tomography,” IEEE Transactions on Nuclear Science, vol. 48, no. 3, part 2, pp. 790–798, 2001.
View at: Publisher Site | Google Scholar
H. H. Bauschke and J. M. Borwein, “On projection algorithms for solving convex feasibility problems,” SIAM Review, vol. 38, no. 3, pp. 367–426, 1996.
View at: Google Scholar
Y. Censor and S. A. Zenios, Parallel Optimization Theory, Algorithm, and Applications, Oxford University Press, New York, NY, USA, 1997.
G. Wang and M. Jiang, “Ordered-subset simultaneous algebraic reconstruction techniques (OS-SART),” Journal of X-Ray Science and Technology, vol. 12, no. 3, pp. 169–177, 2004.
View at: Google Scholar

Copyright

Copyright © 2006 Jinxiao Pan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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