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Computational and Mathematical Methods in Medicine
Volume 2013, Article ID 418747, 7 pages
Research Article

Distributed Reconstruction via Alternating Direction Method

National Digital Switching System Engineering & Technological R&D Center, Zhengzhou 450002, China

Received 25 May 2013; Revised 4 July 2013; Accepted 19 July 2013

Academic Editor: Liang Li

Copyright © 2013 Linyuan Wang 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.


With the development of compressive sensing theory, image reconstruction from few-view projections has received considerable research attentions in the field of computed tomography (CT). Total-variation- (TV-) based CT image reconstruction has been shown to be experimentally capable of producing accurate reconstructions from sparse-view data. In this study, a distributed reconstruction algorithm based on TV minimization has been developed. This algorithm is very simple as it uses the alternating direction method. The proposed method can accelerate the alternating direction total variation minimization (ADTVM) algorithm without losing accuracy.