ACCELERATED DYNAMIC MRI USING STRUCTURED LOW RANK MATRIX COMPLETION

被引:0
|
作者
Balachandrasekaran, Arvind [1 ]
Ongie, Greg [2 ]
Jacob, Mathews [1 ]
机构
[1] Univ Iowa, Dept Elect & Comp Engn, Iowa City, IA 52242 USA
[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
关键词
dynamic MRI; structured low rank; smoothness regularization;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
We introduce a fast structured low-rank matrix completion algorithm with low memory & computational demand to recover the dynamic MRI data from undersampled measurements. The 3-D dataset is modeled as a piecewise smooth signal, whose discontinuities are localized to the zero sets of a bandlimited function. We show that a structured matrix corresponding to convolution with the Fourier coefficients of the signal derivatives is highly low-rank. This property enables us to recover the signal from undersampled measurements. The application of this scheme in dynamic MRI shows significant improvement over state of the art methods.
引用
收藏
页码:1858 / 1862
页数:5
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