Inspired by the success of low-rank and sparsity (L+S) representation in 4D flow MRI acceleration of great vessels (e.g. hearts or aortic), we managed to implement a generalized L+S reconstruction framework for cerebrovascular 4D flow at 7T. The iterative hard-thresholding approach was adopted instead of the popular used soft-thresholding method because we found soft-thresholding underestimated the reconstructed phase value while hard-thresholding well preserved the phase information. The L+S reconstructed magnitude and phase value at an acceleration factor of 10 is comparable to the fully sampled reference and represents less errors compared with other compressed sensing based approaches.
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