2,1
-regularized
optimization problem, our proposed algorithm first
adopts the Split-Bregman (SB) technique to break down
the problem into sub-problems. We efficiently compute a
closed-form solution to each of the sub-problems with
the help of a finite difference operator in k-space. The
proposed algorithm (SB-L21) offers up to 32x faster
reconstruction with up to 30% reduction in an average
RMSE of the reconstructed images across all contrasts
and slices, compared to other methods, including
M-FOCUSS and SparseMRI.
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