MMSE optimal non-local motion compensated k-t FOCUSS for compressed sensing cardiac cine imaging

A non-local motion compensation algorithm combined with k-t FOCUSS for high resolution compressed sensing cardiac cine imaging is proposed in this paper. While conventional non-local means algorithms use self-similarity, our method collects similar blocks from another reference frame that is obtained during diastole phase. We show that this non-local motion compensation is optimal in MMSE sense, if the probability for each candidate patch is uniform. Experimental results show that the proposed algorithm clearly reconstructs important edge boundaries in cardiac cine imaging and provides significant performance improvement compared to the existing motion compensated k-t FOCUSS.