Echo planar imaging (EPI) is commonly used clinically for its speed, but is sensitive to non-idealities including system field inhomogeneity and subject-specific susceptibility effects. Multi-shot techniques encoding an auxiliary point-spread-function (PSF)-encoding dimension provide robustness to off-resonance effects, with demonstrated potential for diffusion and anatomic applications, but incur scan time penalties motivating acquisition and reconstruction strategies to increase acceleration. This work proposes a comprehensive model-based iterative reconstruction framework for anatomic PSF-encoded EPI scans incorporating low-rank constraints, directly reconstructing undistorted images from undersampled data. Advantages are demonstrated using brain MRI data acquired on a compact 3T MRI system.
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