Biomedical Engineering

Fast Parallel Imaging Reconstruction Method Based on SIDWT and Iterative Self-Consistency

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  • Faculty of Information Engineering and Automation, Kunming University of Science and Technology, Kunming 650504, China

Received date: 2022-06-21

  Revised date: 2022-07-26

  Accepted date: 2022-09-08

  Online published: 2023-02-14

Abstract

To improve the reconstruction speed of parallel magnetic resonance imaging, an efficient reconstruction method named fSIDWT-SPIRiT is proposed based on shift-invariant discrete wavelets transform (SIDWT) and the iterative self-consistent parallel imaging reconstruction (SPIRiT) model. This method addresses the complex optimization problem containing data consistency term, calibration consistency term, and L1-norm regularization term. First, data consistency term and calibration consistency term are combined and processed, and then solved by a projected fast iterative shrinkage-thresholding algorithm to achieve fast parallel MRI reconstruction. Finally, simulation experiments are conducted using different human organ datasets. The results show that the proposed method is able to guarantee the image reconstruction quality with a faster convergence speed compared with other methods.

Cite this article

DUAN Jizhong, QIAN Qingqing . Fast Parallel Imaging Reconstruction Method Based on SIDWT and Iterative Self-Consistency[J]. Journal of Shanghai Jiaotong University, 2023 , 57(5) : 582 -592 . DOI: 10.16183/j.cnki.jsjtu.2022.236

References

[1] BROOKES M J, VRBA J, MULLINGER K J, et al. Source localisation in concurrent EEG/fMRI: Applications at 7T[J]. NeuroImage, 2009, 45(2): 440-452.
[2] 吴振洲, 常严, 徐雅洁, 等. 非笛卡尔并行磁共振成像重建技术研究新进展[J]. 仪器仪表学报, 2017, 38(8): 1996-2006.
[2] WU Zhenzhou, CHANG Yan, XU Yajie, et al. New research advances in non-Cartesian parallel MRI reconstruction[J]. Chinese Journal of Scientific Instrument, 2017, 38(8): 1996-2006.
[3] HAMILTON J, FRANSON D, SEIBERLICH N. Recent advances in parallel imaging for MRI[J]. Progress in Nuclera Magnetic Resonance Spectroscopy, 2017, 101: 71-95.
[4] PRUESSMANN K P. Encoding and reconstruction in parallel MRI[J]. NMR in Biomedicine, 2006, 19(3): 288-299.
[5] DONOHO D L. Compressed sensing[J]. IEEE Transactions on Information Theory, 2006, 52(4): 1289-1306.
[6] ISLAM S R, MAITY S P, RAY A K. Compressed sensing regularized calibrationless parallel magnetic resonance imaging via deep learning[J]. Biomedical Signal Processing and Control, 2021, 66: 102399.
[7] LUSTIG M, PAULY J M. SPIRiT: Iterative self-consistent parallel imaging reconstruction from arbitrary k-Space[J]. Magnetic Resonance in Medicine, 2010, 64(2): 457-471.
[8] VASANAWALA S, MURPHY M, ALLEY M, et al. Practical parallel imaging compressed sensing MRI: Summary of two years of experience in accelerating body MRI of pediatric patients[C]//2011 IEEE International Symposium on Biomedical Imaging:From Nano to Macro. Chicago, USA: IEEE, 2011: 1039-1043.
[9] 段继忠, 张立毅, 刘昱, 等. 基于自一致性的磁共振并行成像高效重构算法[J]. 天津大学学报(自然科学与工程技术版). 2014, 47(5): 414-419.
[9] DUAN Jizhong, ZHANG Liyi, LIU Yu, et al. Efficient reconstruction algorithm for parallel magnetic resonance imaging based on self-consistency[J]. Journal of Tianjin University (Science and Technology), 2014, 47(5): 414-419.
[10] PENG Z X, XU Z, HUANG J Z. RSPIRIT: Robust self-consistent parallel imaging reconstruction based on generalized Lasso[C]//2016 IEEE 13th International Symposium on Biomedical Imaging. Prague, Czech Republic: IEEE, 2016: 318-321.
[11] TING S T, AHMAD R, JIN N, et al. Fast Implementation for compressive recovery of highly accelerated cardiac cine MRI using the balanced sparse model[J]. Magnetic Resonance in Medicine, 2017, 77(4): 1505-1515.
[12] DUAN J Z, LIU Y, JING P G. Efficient operator splitting algorithm for joint sparsity-regularized SPIRiT-based parallel MR imaging reconstruction[J]. Magnetic Resonance Imaging, 2018, 46: 81-89.
[13] GUO H Y, LIU P, WANG M, et al. TV-RSPIRiT: Total variation regularized based robust self-consistent parallel imaging reconstruction[C]//2019 International Conference on Medical Imaging Physics and Engineering. Shenzhen, China: IEEE, 2019: 1-4.
[14] ZHANG X L, GUO D, HUANG Y M, et al. Image reconstruction with low-rankness and self-consistency of k-space data in parallel MRI[J]. Medical Image Analysis, 2020, 63: 101687.
[15] ZHANG X L, LU H F, GUO D, et al. A guaranteed convergence analysis for the projected fast iterative soft-thresholding algorithm in parallel MRI[J]. Medical Image Analysis, 2021, 69: 101987.
[16] 薛方, 许朝萍, 刘耀飞, 等. 基于K空间采样的MRI重建算法研究[J]. 中国医学装备, 2021, 18(8): 1-4.
[16] XUE Fang, XU Chaoping, LIU Yaofei, et al. Research on MRI reconstruction algorithm based on K-space sampling[J]. China Medical Equipment, 2021, 18(8): 1-4.
[17] PAN T, DUAN J Z, WANG J F, et al. Iterative self-consistent parallel magnetic resonance imaging reconstruction based on nonlocal low-rank regularization[J]. Magnetic Resonance Imaging, 2022, 88: 62-75.
[18] BECK A, TEBOULLE M. A fast iterative shrinkage-thresholding algorithm for linear inverse problems[J]. SIAM Journal on Imaging Sciences, 2009, 2(1): 183-202.
[19] LIU Y S, ZHAN Z F, CAI J F, et al. Projected iterative soft-thresholding algorithm for tight frames in compressed sensing magnetic resonance imaging[J]. IEEE Transactions on Medical Imaging, 2016, 35(9): 2130-2140.
[20] HU Y H, ZHANG X L, CHEN D C, et al. Spatiotemporal flexible sparse reconstruction for rapid dynamic contrast-enhanced MRI[J]. IEEE Transactions on Biomedical Engineering, 2022, 69(1): 229-243.
[21] SCHMIDT J F M, SANTELLI C, KOZERKE S. MR image reconstruction using block matching and adaptive kernel methods[J]. PLoS One, 2016, 11(4): e0153736.
[22] YING L, SHENG J H. Joint image reconstruction and sensitivity estimation in SENSE (JSENSE)[J]. Magnetic Resonance in Medicine, 2007, 57(6): 1196-1202.
[23] KNOLL F, ZBONTAR J, SRIRAM A, et al. fastMRI: A publicly available raw k-space and DICOM dataset of knee images for accelerated MR image reconstruction using machine learning[J]. Radiology Artificial Intelligence, 2020, 2(1): e190007.
[24] ZBONTAR J, KNOLL F, SRIRAM A, et al. fastMRI: An open dataset and benchmarks for accelerated MRI[EB/OL]. (2019-12-11) [2022-06-17]. https://arxiv.org/abs/1811.08839.
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