2D MRI/S are commonly affected by changes in temperature, field drifts, or motions, leading to multiplicative noise. We introduce here CoSeM (Compressed Sensing Multiplicative) denoising, a method that converts instability-related “t1” noise, into additive noise liable to signal averaging. CoSeM evaluates and discards indirect-domain points that may have been strongly influenced by instabilities, and makes up for this discarding by compressed sensing reconstructions. 2D localized MRS in the brain and 2D abdominal MRI experiments liable to instabilities, evidence 2-3 fold increases in SNR by CoSeM processing. CoSeM is also shown to retain quantitative information –e.g., in T1 mapping experiments.
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