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Purpose: To enable rigid-body motion tolerant parallel volumetric magneticresonance imaging by retrospective head motion correction on a variety ofspatio-temporal scales and imaging sequences. Theory and methods: Toleranceagainst rigid-body motion is based on distributed and incoherent samplingorders for boosting a joint retrospective motion estimation and reconstructionframework. Motion resilience stems from the encoding redundancy in the data, asgenerally provided by the coil array. Hence, it does not require externalsensors, navigators or training data, so the methodology is readily applicableto sequences using 3D encodings. Results: Simulations are performed showingfull inter-shot corrections for usual levels of in-vivo motion, large number ofshots, standard levels of noise and moderate acceleration factors. Feasibilityof inter- and intra-shot corrections is shown under controlled motion in-vivo.Practical efficacy is illustrated by high quality results in most corrupted of208 volumes from a series of 26 clinical pediatric examinations collected usingstandard protocols. Conclusion: The proposed framework addresses the rigidmotion problem in volumetric anatomical brain scans with sufficient encodingredundancy which has enabled reliable pediatric examinations without sedation.

Motion corrected MRI with DISORDER: Distributed and Incoherent Sample Orders for Reconstruction Deblurring using Encoding Redundancy