Meeting Banner
Abstract #0027

Fast Unwrapping using Discrete Gradient Evaluation (FUDGE): an analytical correction to the Laplacian-based phase unwrapping technique for discrete data.

Amanda Ching Lih Ng1, Meei Pyng Ng2, Sonal Josan3, Shawna Farquharson4, Claire Mulcahy4, and Roger J Ordidge1

1Dept of Anatomy & Neuroscience, The University of Melbourne, Parkville, Australia, 2Dept of Mathematics & Statistics, The University of Melbourne, Parkville, Australia, 3Siemens Healthcare, Melbourne, Australia, 4Imaging, The Florey Institute of Neuroscience and Mental Health, Melbourne, Australia

Laplacian-based phase unwrapping is commonly used to pre-process phase for methods such as Quantitative Susceptibility Mapping (QSM). However, the formulation was derived with the assumption of a continuous signal and a continuous Fourier transform. When applied to discrete MRI phase data, serious errors in phase can occur, resulting in substantial errors in QSM estimates. We present a mathematically correct Laplacian-based phase unwrapping formula, based on the assumption of the discrete nature of MRI phase data and processing. Our results reflect the mathematical predictions of the old and new formulations.

This abstract and the presentation materials are available to members only; a login is required.

Join Here