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TV Sparsifying MR Image Reconstruction in Compressive Sensing

DOI: 10.4236/jsip.2011.21007, PP. 44-51

Keywords: Compressed Sensing, Magnetic Resonance Image, Total Variation, Image Reconstruction

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Abstract:

In this paper, we apply alternating minimization method to sparse image reconstruction in compressed sensing. This approach can exactly reconstruct the MR image from under-sampled k-space data, i.e., the partial Fourier data. The convergence analysis of the fast method is also given. Some MR images are employed to test in the numerical experi-ments, and the results demonstrate that our method is very efficient in MRI reconstruction.

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