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Abstract #1420

Accelerate multi-dimensional magnetic resonance spectroscopy with low rank tensor and Hankel structures

Jiaxi Ying1, Hengfa Lu1, Qingtao Wei2, Jiang-Feng Cai3, Di Guo4, Jihui Wu2, Zhong Chen1, and Xiaobo Qu1

1Department of Electronic Science, Xiamen University, Xiamen, People's Republic of China, 2School of Life Sciences, University of Science and Technology of China, Hefei, People's Republic of China, 3Department of Mathematics, Hong Kong University of Science and Technology, People's Republic of China, 4School of Computer and Information Engineering, Xiamen University of Technology, Xiamen, People's Republic of China

Non-uniformly sampling is an effective way to accelerate high-dimensional magnetic resonance spectroscopy (MRS). The spectrum is usually reconstructed with proper prior knowledge. In this work, we exploit the intrinsic N-D exponential signals of multi-dimensional MRS to reconstruct the spectrum. A low rank tensor representation of multi-dimensional MRS and the exponential structure of the associated factors are simultaneously explored. Results on 3-D MRS data shows that the proposed method can faithfully reconstruct the spectrum from a small amount of measurements, allowing a significant reduction of acquiring time in real applications.

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