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A Fast, Automated, N-Dimensional Phase Unwrapping
Algorithm
FMRIB Technical Report TR01MJ1
Mark Jenkinson
Oxford Centre for Functional Magnetic Resonance Imaging of the Brain (FMRIB),
Department of Clinical Neurology, University of Oxford, John Radcliffe Hospital,
Headley Way, Headington, Oxford, UK
Abstract:
This report investigates the general problem of phase unwrapping for
arbitrary n-dimensional phase maps. A cost function-based approach is
outlined which leads to an integer programming problem. To solve this
problem a best-pair-first region merging approach is adopted as the
optimisation method. The algorithm has been implemented and tested
with 3D MRI medical data for fMRI applications in EPI unwarping and
rapid, automated shimming.
Keywords: phase unwrapping; echo planar imaging (EPI); field mapping.
Mark Jenkinson
2001-10-12