Author(s)

Yonggui Zhu, Xiaolan Yang

School of Science, Communication University of China.

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.

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

Zhu, Y. and Yang, X. (2011) TV Sparsifying MR Image Reconstruction in Compressive Sensing. Journal of Signal and Information Processing, 2, 44-51. doi: 10.4236/jsip.2011.21007.