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通过利用组稀疏性探索区域低秩结构加速心血管成像

ACCELERATING CARDIOVASCULAR IMAGING BY EXPLOITING REGIONAL LOW-RANK STRUCTURE VIA GROUP SPARSITY.

作者信息

Christodoulou Anthony G, Babacan S Derin, Liang Zhi-Pei

机构信息

Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign ; Beckman Institute of Advanced Science and Technology, University of Illinois at Urbana-Champaign.

Beckman Institute of Advanced Science and Technology, University of Illinois at Urbana-Champaign.

出版信息

Proc IEEE Int Symp Biomed Imaging. 2012 Dec 31;2012:330-333. doi: 10.1109/ISBI.2012.6235551.

Abstract

Sparse sampling of (, )-space has proved useful for cardiac MRI. This paper builds on previous work on using partial separability (PS) and spatial-spectral sparsity for high-quality image reconstruction from highly undersampled (, )-space data. This new method uses a more flexible control over the PS-induced low-rank constraint via group-sparse regularization. A novel algorithm is also described to solve the corresponding (1,2)-norm regularized inverse problem. Reconstruction results from simulated cardiovascular imaging data are presented to demonstrate the performance of the proposed method.

摘要

事实证明,对(k, t)-空间进行稀疏采样在心脏磁共振成像中很有用。本文基于先前关于利用部分可分性(PS)和空间谱稀疏性从高度欠采样的(k, t)-空间数据进行高质量图像重建的工作。这种新方法通过组稀疏正则化对PS诱导的低秩约束进行了更灵活的控制。还描述了一种新颖的算法来解决相应的(1,2)-范数正则化逆问题。给出了模拟心血管成像数据的重建结果,以证明所提方法的性能。

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本文引用的文献

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k-t Group sparse: a method for accelerating dynamic MRI.k-t 稀疏组:一种加速动态 MRI 的方法。
Magn Reson Med. 2011 Oct;66(4):1163-76. doi: 10.1002/mrm.22883. Epub 2011 Mar 9.
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Accelerated dynamic MRI exploiting sparsity and low-rank structure: k-t SLR.利用稀疏性和低秩结构的加速动态 MRI:k-t SLR。
IEEE Trans Med Imaging. 2011 May;30(5):1042-54. doi: 10.1109/TMI.2010.2100850. Epub 2011 Jan 31.
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Compressed sensing in dynamic MRI.动态磁共振成像中的压缩感知
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