Distributed sequence reorderings for 3D multi-shot acquisitions ensure overlap with the central k-space in every shot. This improves the stability of navigator-free retrospective motion estimation but often reduces the robustness of the image reconstruction. In this work, we have developed and optimized a novel sampling strategy (Linear+) that extends the standard sequential sequence ordering with a small number of additional calibration samples acquired near the k-space center. In simulation and in vivo, Linear+ enabled accurate motion parameter estimation and correction across multiple motion patterns while providing improved image homogeneity and spatial resolution compared to a distributed reordering.
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