Based on the magnitude similarity between bipolar-encoded k-space data for PC flow imaging, magnitude-difference regularization was incorporated into the conventional compressed sensing (CS) reconstruction. The gradient of the magnitude regularization was derived so the reconstruction problem can be solved iteratively. Retrospecitve in-vivo studies show that the addition of magnitude-difference regularization into conventional CS reconstruction improves the accuracy of image reconstruction using highly undersampled phase-contrast flow MR data.
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