Parallel MRI Reconstruction by Direct Convex Optimization

The proposed direct convex optimization approach to parallel magnetic resonance imaging (pMRI) is to provide a computational algorithm for efficient processing of undersampled k-space data and accurate reconstruction of magnetic resonance images. It is based on an analysis that the magnitude image to be solved is contained in a convex hull in the solution space of the image function and the sensitivity encoded image functions. This analysis enables a novel formulation of the pMRI reconstruction problem into direct convex optimization.

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