Cyclic Continuous Max-Flow: Phase Processing Using the Inherent Topology of Phase
John Stuart Haberl Baxter1, Zahra Hosseini1, Junmin Liu2, Maria Drangova3, and Terry M Peters1
1Biomedical Engineering Graduate Program, Western University, London, ON, Canada, 2Imaging Laboratories, Robarts Research Institute, London, ON, Canada, 3Department of Medical Biophysics, Western University, London, ON, Canada
Tissue
susceptibility differences manifest in MR phase images as high-frequency
changes in an otherwise smooth phase background. Two paradigms currently exist
for isolating these changes: one involves phase unwrapping followed by
filtering; the other involves filtering the complex signal. Both rely on a
linear topology, which can result in artifacts such as phase wraps and
shadowing, as phase is inherently cyclic. This paper introduces the cyclic
continuous max-flow (CCMF) method, which uses optimization over a cyclic
topology to process phase information. More robust field maps are generated
using this approach compared to the traditional paradigms.
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