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-  2018 

基于双稀疏模型的压缩感知核磁共振图像重构

DOI: doi:10.7507/1001-5515.201607006

Keywords: 核磁共振图像, 压缩感知, 综合稀疏模型, 稀疏变换模型, 图像重构

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Abstract:

医学核磁共振图像重构技术是核磁共振成像领域的关键技术之一。压缩感知理论指出利用核磁共振图像的稀疏性能够从高度欠采样的观测值中精确重构图像。如何利用图像的稀疏性先验以及更多的先验知识来提高重构质量成为核磁共振成像的一个关键问题。本文根据综合稀疏模型和稀疏变换模型的相互补充作用,利用核磁共振图像在这两种模型下的稀疏性先验,将结合了综合稀疏模型与稀疏变换模型的双稀疏模型应用于压缩感知核磁共振图像的重构系统,提出了一种融合双字典学习的自适应图像重构模型。本文充分利用了图像在自适应综合字典学习和自适应变换字典学习下的两种稀疏先验知识,使用交替迭代最小化法对提出的模型进行分阶段求解,求解过程中引入了综合 K-奇异值分解(K-SVD)算法和变换 K-SVD 算法。通过实验验证,与目前较好的核磁共振图像重构模型对比,本文提出模型的图像重构效果更好、收敛速度更快,且具有更好的鲁棒性

References

[1]  1. 贺超. 核磁共振成像系统原理及 MR 图像研究. 云南大学学报: 自然科学版, 2010, 32(S1): 245-248.
[2]  2. Donoho D L. Compressed sensing. IEEE Transactions on Information Theory, 2006, 52(4): 1289-1306.
[3]  3. Candes E, Roberg J, Tao T. Robust uncertainty principles: exact signal recognition from highly incomplete frequency information. IEEE Transactions on Information Theory, 2006, 52(2): 489-509.
[4]  4. 李修寒, 朱松盛. 基于压缩感知理论的医学图像重构算法研究现状. 生物医学工程学进展, 2014, 35(4): 216-242.
[5]  5. Takhar D, Laska J N, Wakin M B, et al. A new compressive imaging camera architecture using optical domain compression//Proceedings of the 2006 IS&T/SPIE Symposium on Electronic Imaging: Computational Imaging. San Jose, California, United States: SPIE, 2006, 6065: 43-52.
[6]  6. 李中源, 李光, 孙翌, 等. 一种基于全局字典学习的小动物低剂量计算机断层扫描降噪方法. 生物医学工程学杂志, 2016, 33(2): 279-286.
[7]  7. 李龙珍, 姚旭日, 刘雪峰, 等. 基于压缩感知超分辨鬼成像. 物理学报, 2014, 63(22): 42011-42016.
[8]  8. 吴建宁, 徐海东, 王佳境, 等. 基于随机投影的快速稀疏表示人体动作识别方法. 中国生物医学工程学报, 2016, 35(1): 38-46.
[9]  9. Liu Y, Cai J F, Zhan Z, et al. Balanced sparse model for tight frames in compressed sensing magnetic resonance imaging. PLoS One, 2015, 10(4): 1-19.
[10]  10. Huang Jinhong, Guo Li, Feng Qianjin, et al. Sparsity-promoting orthogonal dictionary updating for image reconstruction from highly undersampled magnetic resonance data. Phys Med Biol, 2015, 60(14): 5359-5380.
[11]  11. Lustig M, Donoho D, Pauly J M. Sparse MRI: the application of compressed sensing for rapid MR imaging. Magn Reson Med, 2007, 58(6): 1182-1195.
[12]  12. Ravishankar S, Bresler Y. MR image reconstruction from highly undersampled space data by dictionary learning. IEEE Trans Med Imaging, 2011, 30(5): 1028-1041.
[13]  13. Ravishankar S, Bresler Y. Sparsifing transform learning for compressed sensing MRI//IEEE International Symposium on Biomedical Imaging: From Nano to Macro. San Francisco, USA: IEEE, 2013: 17-20.
[14]  14. Ravishankar S, Bresler Y. Efficient blind compressed sensing using sparsifying transforms with convergence guarantees and application to magnetic resonance imaging. SIAM J Imaging Sci, 2015, 8(4): 2519-2557.
[15]  15. Wang X Y, Guo X, Zhang D D. An effective fractal image compression algorithm based on plane fitting. Chin Phys B, 2012, 21(9): 090507.
[16]  16. 宁方立, 何碧静, 韦娟. 基于 l p 范数的压缩感知图像重建算法研究. 物理学报, 2013, 62(17): 42121-42128.
[17]  17. Yaghoobi M, Nam S, Gribonval R, et al. Constrained over-complete analysis operator learning for co-sparse signal modeling. IEEE Transactions on Signal Processing, 2013, 61(9): 2141-2355.
[18]  18. Hawe S, Kleinsteuber M, Diepold K. Analysis operator learning and its application to image reconstruction. IEEE Transactions on Image Processing, 2013, 22(6): 2138-2150.
[19]  19. Chen Yunjin, Ranftl R, Pock T. Insights into analysis operator learning: from patch-based sparse models to higher order MRFs. IEEE Transactions on Image Processing, 2014, 23(3): 1060-1072.
[20]  20. Giryes R, Nam S, Elad M, et al. Greedy-like algorithms for the co-sparse analysis model. Linear Algebra Appl, 2014, 441: 22-60.
[21]  21. Rubinstein R, Peleg T, Elad M. Analysis K-SVD: A dictionary-learning algorithm for the analysis sparse model. IEEE Transactions on Signal Processing, 2013, 61(3): 661-677.
[22]  22. Ravishankar S, Bresler Y. Learning sparsifying transforms. IEEE Transactions on Signal Processing, 2013, 61(5): 1072-1086.
[23]  23. Eksioglu E M, Bayir O. K-SVD meets transform learning: transform K-SVD. IEEE Signal Process Lett, 2014, 21(3): 347-351.

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