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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