Abstract
Recently, exploiting low rank property of the data accomplished by the non-convex optimization has shown great potential to decrease measurements for compressed sensing. In this paper, the low rank regularization is adopted to gradient similarity minimization, and applied for highly undersampled magnetic resonance imaging (MRI) reconstruction, termed gradient-based low rank MRI reconstruction (GLRMRI). In the proposed method, by incorporating the spatially adaptive iterative singular-value thresholding (SAIST) to optimize our gradient scheme, the deterministic annealing iterates the procedure efficiently and superior reconstruction performance is achieved. Extensive experimental results have consistently demonstrated that GLRMRI recovers both realvalued MR images and complex-valued MR data accurately, especially in the edge preserving perspective, and outperforms the current state-of-the-art approaches in terms of higher peak signal to noise ratio (PSNR) and lower high-frequency error norm (HFEN) values.
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Acknowledgements
The authors would like to thank QU Xiaobo et al. and RAVISHANKAR Saiprasad et al. for sharing their experiment materials and source codes.
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Foundation item: the National Natural Science Foundation of China (Nos. 61362001, 61503176, 61661031), and Jiangxi Advanced Project for Post-Doctoral Research Fund (No. 2014KY02)
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Xu, X., Liu, Y., Liu, Q. et al. Gradient-Based Low Rank Method for Highly Undersampled Magnetic Resonance Imaging Reconstruction. J. Shanghai Jiaotong Univ. (Sci.) 23, 384–391 (2018). https://doi.org/10.1007/s12204-018-1927-8
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DOI: https://doi.org/10.1007/s12204-018-1927-8