Fast three-dimensional NMR spectroscopy reconstruction based on Hankel matrix with two-directional sliding windows.

Tianyu Qiu, Hao Fu, Xiaobo Qu, Di Guo

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Article in Magnetic resonance letters, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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4 authors.

Tianyu QiuSchool of Computer and Information Engineering, Fujian Engineering Research Center for Medical Data Mining and Application, Xiamen University of Technology, Xiamen, 361024, China.

Hao FuSchool of Information and Communication Engineering, Hainan University, Haikou, 570228, China.

Xiaobo QuDepartment of Electronic Science, Fujian Provincial Key Laboratory of Plasma and Magnetic Resonance, Xiamen University, Xiamen, 361102, China.

Di GuoSchool of Computer and Information Engineering, Fujian Engineering Research Center for Medical Data Mining and Application, Xiamen University of Technology, Xiamen, 361024, China.

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6 · The paper itself

Abstract

Nuclear magnetic resonance (NMR) spectroscopy has grown into a formidable tool in biomedical analysis and quantification. However, the lengthy acquisition for high-dimensional NMR spectroscopy hinders its broader applications. Non-uniform sampling (NUS) effectively reduces the acquisition time by acquiring partial data. Therefore, the need for reconstruction methods is motivated. The low-rank block Hankel matrix reconstruction method achieves notable reconstruction, but requiring prolonged computational time. In this work, a novel two-directional sliding window method is proposed to reduce the size of the low-rank matrix, effectively mitigating the computational time. Incorporating the parallel computation, further acceleration can be achieved. The numerical experiments on synthetic and real NMR spectroscopy illustrate that, among compared approaches, the proposed method accomplishes reconstruction in the shortest time without compromising the spectral quality.

Indexed as

Hankel matrixLow-rankNMR spectroscopyReconstructionSliding window

Identifiers

PMID42500383

DOI10.1016/j.mrl.2025.200254

PMCPMC13398272

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.