An Improved Nonlocal Means Method for CPMG Signal Denoising

  • ZHAO Bin1 ,
  • ZHOU Xiao-long1 ,
  • ZHANG Ying-li2 ,
  • YANG Pei-qiang2 ,
  • NIE Sheng-dong1*
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  • 1. Institute of Medical Imaging Engineering, University of Science and Technology, Shanghai 200093, China; 2. Shanghai Niumag Corporation, Shanghai 200333, China
*Corresponding author:NIE Sheng-dong, Tel: +86-021-55271172, E-mail: nsd4647@163.com

Received date: 2014-08-11

  Revised date: 2015-07-22

  Online published: 2015-09-05

Supported by

国家自然科学基金资助项目(60972122),上海市教委科研创新重点资助项目(14ZZ135),国家重大科学仪器 设备开发专项资助项目(2013YQ17046303)

Abstract

Echo signals obtained on low-field NMR spectrometer are often weak, and have low signal-to-noise ratio, such that the signals are easily to be buried in background noise. Aiming at solving this problem, an improved non-local means (NLM) algorithm for filtering CPMG echo signals was proposed. First, based on analysis of parameter selection methods, an adaptive damping parameter selection method with Stein unbiased risk estimation was selected for the NLM algorithm. According to the characteristics of the echo signal, an improved method using different signal point data variance was employed to find the width of the neighborhood window for the NLM algorithm. Lastly, the NLM algorithm was implemented with optimized parameters. The results on simulated and experimental data sets were reported. Compared with the existing NLM algorithm, the improved NLM algorithm was shown to be able to produce better results concerning both the filtered signals and inversed spectra.

Cite this article

ZHAO Bin1 , ZHOU Xiao-long1 , ZHANG Ying-li2 , YANG Pei-qiang2 , NIE Sheng-dong1* . An Improved Nonlocal Means Method for CPMG Signal Denoising[J]. Chinese Journal of Magnetic Resonance, 2015 , 32(3) : 499 -510 . DOI: 10.11938/cjmr20150311

References

[1]  Sengupta I, Nadaud P S, Jaroniec C P. Protein structure determination with paramagnetic solid-state NMR spectroscopy[J]. Acc Chem Res, 2013, 46(9): 2 117-2 126.

[2]  Mitchell J, Chandrasekera T C, Gladden L F. Numerical estimation of relaxation and diffusion distributions in two dimensions[J]. Prog Nucl Magn Reson Spectrosc, 2012, 62: 34-50.

[3]  Zhou Xiao-long(周小龙), Nie Sheng-dong(聂生东), Wang Yuan-jun(王远军), et al. An iterative truncated singular value decomposition(TSVD)-based inversion methods for 2D NMR(基于迭代TSVD的NMR二维谱反演算法)[J]. Chinese J Magn Reson(波谱学杂志), 2013, 30(4): 541-551.

[4]  Zhou Xiao-long(周小龙), Nie Sheng-dong(聂生东), Wang Yuan-jun(王远军), et al. A review on the inversion methods in 2D NMR(核磁共振二维谱反演技术综述)[J]. Chinese J Magn Reson(波谱学杂志), 2013, 30(2): 293-305.

[5]  Zheng Chuan-xing(郑传行), Zhang Yi-ming(张一鸣). Noise reduction based on wavelet transform for low field pulsed NMR signal(基于小波变换的低场脉冲核磁共振信号滤波)[J]. Nuclear Electronics & Detection Technology(核电子学与探测技术), 2008, 28(1): 30-34.

[6]  Buades A, Coll B, Morel J M. Computer Vision and Pattern Recognition[C]. California: IEEE Press, 2005.

[7]  Sun Wei-feng(孙伟峰). Research on signal and image processing algorithms based on nonlocal information and their applications(基于非局部信息的信号与图像处理算法及其应用研究)[D]. Jinan(济南): Shan Dong University(山东大学), 2010.

[8]  Tracey B H, Miller E L. Nonlocal means denoising of ECG signals[J]. IEEE T Biomed Eng, 2012, 59(9): 2 383-2 386.

[9]  Deo A, Singh D B V, Bandil M K,  et al. Denoising of ECG signals with adaptive filtering algorithms & patch based method[J]. International Journal of Computer Networks and Wireless Communications (IJCNWC), 2013, 3(3): 2 250-   3 051.

[10]  Li T, Wen P, Jayamaha S. Anaesthetic EEG signal denoise using improved nonlocal mean methods[J]. Australasian Physical & Engineering Sciences in Medicine(APESM), 2014, 37(2): 431-437.

[11]  Sun W, Han M. 2010 3rd International Congress on Image and Signal Processing[C]. Yantai: IEEE press, 2010.

[12]  Van De Ville D, Kocher M. SURE-based non-local means [J]. IEEE Signal Proces Lett, 2009, 16(11): 973-976.

[13]  Eldar Y C. Generalized SURE for exponential families: Applications to regularization[J]. IEEE T Signal Proces, 2009, 57(2): 471-481.

[14]  Zhou Xiao-long(周小龙), Nie Sheng-dong(聂生东), Wang Yuan-jun(王远军),  et al. Noise-fitting based new 2D NMR inversion method(基于噪声拟合的核磁共振二维谱反演新方法)[J]. Chinese Journal of Scientific Instrument(仪器仪表学报), 2013, 34(7): 1 640-1 649.

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