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基于优化的多能量CT图像重建

Superiorization-based multi-energy CT image reconstruction.

作者信息

Yang Q, Cong W, Wang G

机构信息

Biomedical Imaging Center, Department of Biomedical Engineering, Rensselaer Polytechnic Institute, NY, United States of America.

出版信息

Inverse Probl. 2017;33(4). doi: 10.1088/1361-6420/aa5e0a. Epub 2017 Mar 1.

Abstract

The recently-developed superiorization approach is efficient and robust for solving various constrained optimization problems. This methodology can be applied to multi-energy CT image reconstruction with the regularization in terms of the prior rank, intensity and sparsity model (PRISM). In this paper, we propose a superiorized version of the simultaneous algebraic reconstruction technique (SART) based on the PRISM model. Then, we compare the proposed superiorized algorithm with the Split-Bregman algorithm in numerical experiments. The results show that both the Superiorized-SART and the Split-Bregman algorithms generate good results with weak noise and reduced artefacts.

摘要

最近开发的超优化方法在解决各种约束优化问题方面高效且稳健。这种方法可应用于基于先验秩、强度和稀疏性模型(PRISM)进行正则化的多能量CT图像重建。在本文中,我们提出了一种基于PRISM模型的同时代数重建技术(SART)的超优化版本。然后,我们在数值实验中将提出的超优化算法与分裂Bregman算法进行比较。结果表明,超优化SART算法和分裂Bregman算法在弱噪声和减少伪影方面都产生了良好的结果。

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本文引用的文献

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Total Nuclear Variation and Jacobian Extensions of Total Variation for Vector Fields.
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