scholarly journals A partial sum of singular‐value‐based reconstruction method for non‐uniformly sampled NMR spectroscopy

2020 ◽  
Author(s):  
Zhangren Tu ◽  
Zi Wang ◽  
Jiaying Zhan ◽  
Yihui Huang ◽  
Xiaofeng Du ◽  
...  
ChemBioChem ◽  
2014 ◽  
Vol 15 (7) ◽  
pp. 929-933 ◽  
Author(s):  
Subhabrata Majumder ◽  
Christopher M. DeMott ◽  
David S. Burz ◽  
Alexander Shekhtman

2020 ◽  
Vol 10 (11) ◽  
pp. 3939 ◽  
Author(s):  
Zhangren Tu ◽  
Huiting Liu ◽  
Jiaying Zhan ◽  
Di Guo

Multidimensional nuclear magnetic resonance (NMR) spectroscopy is one of the most crucial detection tools for molecular structure analysis and has been widely used in biomedicine and chemistry. However, the development of NMR spectroscopy is hampered by long data collection time. Non-uniform sampling empowers rapid signal acquisition by collecting a small subset of data. Since the sampling rate is lower than that of the Nyquist sampling ratio, undersampling artifacts arise in reconstructed spectra. To obtain a high-quality spectrum, it is necessary to apply reasonable prior constraints in spectrum reconstruction models. The self-learning subspace method has been shown to possess superior advantages than that of the state-of-the-art low-rank Hankel matrix method when adopting high acceleration in data sampling. However, the self-learning subspace method is time-consuming due to the singular value decomposition in iterations. In this paper, we propose a fast self-learning subspace method to enable fast and high-quality reconstructions. Aided by parallel computing, the experiment results show that the proposed method can reconstruct high-fidelity spectra but spend less than 10% of the time required by the non-parallel self-learning subspace method.


2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
Wenjian Chen ◽  
Yi Wang ◽  
Xuan Li ◽  
Wei Gao ◽  
Shiwei Ma ◽  
...  

Air pollution presents unprecedentedly severe challenges to humans today. Various measures have been taken to monitor pollution from gas emissions and the changing atmosphere, of which imaging is of crucial importance. By images of target scenes, intuitional judgments and in-depth data are achievable. However, due to the limitations of imaging devices, effective and efficient monitoring work is often hindered by low-resolution target images. To deal with this problem, a superresolution reconstruction method was proposed in this study for high-resolution monitoring images. It was based on the idea of sparse representation. Particularly, multiple dictionary pairs were trained according to the gradient features of samples, and one optimal pair of dictionaries was chosen to reconstruct by judging the weighting of the information in different directions. Furthermore, the K-means singular value decomposition algorithm was used to train the dictionaries and the orthogonal matching pursuit algorithm was employed to calculate the sparse coding coefficients. Finally, the experiment’s results demonstrated its advantages in both visual fidelity and numerical measures.


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