This work presents a robust motion corrected free breathing Dynamic Contrast Enhanced MRI (DCE-MRI) reconstruction method called Low rank plus sparse (L+S) with soft weighting which compressed motion blurring by employing a soft weighting matrix. The motion correction performance was quantified in this work. A computer simulation framework based on a modified shepp-logan model was developed with the ground truth to quantify the reconstruction errors. The proposed method achieved better motion correction and high reconstruction efficiency simultaneously.
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