Patrick Hucker1, Michael Dacko1, Michael Herbst2, Ben Knowles1, and Maxim Zaitsev1
1Dept. of Radiology · Medical Physics, University Medical Center Freiburg, Freiburg, Germany, 2John A. Burns School of Medicine, University of Hawaii, Honolulu, HI, United States
A compact solution for phase calculation due to arbitrary rigid body motion based on screw theory is presented. The proposed approach allows for rapid and quantitatively accurate calculations of the phase induced by the switching magnetic field gradients using motion tracking information e.g. from a motion tracking camera. The ability of predicting phase accumulation due to motion in presence of gradients is instrumental for achieving better correction of the motion-induced data inconsistencies for MR pulse sequences with extended signal preparation or readout periods.