Multi-shot DWI improves the image resolution, while it induces phase variation at the same time. We introduce a smooth phase constraint of each shot image into multi-shot DWI reconstruction procedures by imposing the low-rankness of Hankel matrix constructed from the k-space data. The image is further improved with a partial sum of singular values in low-rank matrix reconstruction. Results on brain imaging data show that the proposed method outperforms the state-of-the-art methods in terms of artifacts removal and is compatible to partial Fourier sampling in accelerated DWI.
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