| CPC G01R 33/5611 (2013.01) [A61B 5/055 (2013.01); G01R 33/543 (2013.01); G06T 11/006 (2013.01)] | 7 Claims |

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1. A method for magnetic resonance imaging comprising:
acquiring with multiple receiver coils of an MRI imaging apparatus pseudorandomly undersampled k-space imaging data;
performing MR image reconstruction to produce a reconstructed MR image from the pseudorandomly undersampled k-space imaging data;
wherein the reconstruction comprises iteratively solving sketched approximations of an original reconstruction problem, wherein the sketched approximations use a sketched model matrix As that is a lower-dimensional version of an original model matrix A of the original reconstruction problem;
wherein the sketched model matrix As preserves the Fourier structure of the MR reconstruction problem and reduces the number of coils actively used during reconstruction.
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