International Journal of Biomedical Imaging 
Volume 2006 (2006), Article ID 10398, 7 pages
doi:10.1155/IJBI/2006/10398

Variable Weighted Ordered Subset Image Reconstruction Algorithm

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

 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

Recommended by Seung Wook Lee

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.