# Parallel MRI Reconstruction by Convex Optimization

@article{Zhang2014ParallelMR, title={Parallel MRI Reconstruction by Convex Optimization}, author={Cisheng Zhang and Ifat-Al Baqee}, journal={arXiv: Medical Physics}, year={2014} }

In parallel magnetic resonance imaging (pMRI), to find a joint solution for the image and coil sensitivity functions is a nonlinear and nonconvex problem. A class of algorithms reconstruct sensitivity encoded images of the coils first followed by the magnitude only image reconstruction, e.g. GRAPPA. It is shown in this paper that, if only the magnitude image is reconstructed, there exists a convex solution space for the magnitude image and sensitivity encoded images. This solution space enables…

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