Magnetic Resonance Fingerprinting (MRF) has been shown to enable simultaneous T1 and T2 mapping of the liver and abdomen. 2D liver MRF requires breath holding, whereas preliminary results have been demonstrated for 3D free-breathing liver MRF using respiratory gating. However, gating approaches lead to unpredictable scan times and may impair the MRF encoding, since only data within the respiratory gating window is used for reconstruction. Here we propose a novel low-rank motion corrected approach to both resolve MRF varying contrast and perform non-rigid respiratory motion correction directly in the reconstruction, enabling 3D free-breathing liver MRF with 100% respiratory scan efficiency.
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