This work introduces a new approach to denoise 2D COSY data that typically are collected with low number of signal averages. Our method of a joint sparse parametric Matching Pursuit uses high-resolution parametric models to model the behavior of 2D COSY data in the F2 dimension and add nonparametric joint sparse constraints to regularize the peak shape in the F1 dimension. The effect and performance of denoising were demonstrated using a phantom.
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