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International Journal of Biomedical Imaging
Volume 2006 (2006), Article ID 10398, 7 pages

Variable Weighted Ordered Subset Image Reconstruction Algorithm

1LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China
2Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, China

Received 17 February 2006; Revised 25 May 2006; Accepted 18 July 2006

Academic Editor: Seung Wook Lee

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.


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.