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Abstract #2202

Weak-harmonic regularization for quantitative susceptibility mapping (WH-QSM)

Carlos Milovic1,2, Berkin Bilgic3, Bo Zhao3, Christian Langkammer4, Cristian Tejos1,2, and Julio Acosta-Cabronero5

1Department of Electrical Engineering, Pontificia Universidad Catolica de Chile, Santiago, Chile, 2Biomedical Imaging Center, Pontificia Universidad Catolica de Chile, Santiago, Chile, 3Martinos Center for Biomedical Imaging, Harvard Medical School, Charlestown, MA, United States, 4Department of Neurology, Medical University of Graz, Graz, Austria, 5Wellcome Centre for Human Neuroimaging, UCL Institute of Neurology, University College London, London, United Kingdom

In the context of QSM, the background pre-filtering step often leaves remnants in the local field, particularly in the vicinity of trustable-region boundary. Since such remnant fields must satisfy Laplace's equation, i.e. they must be harmonic functions within the ROI, we propose a new regularization term based on a weak-harmonics formulation (WH-QSM) to remove spurious non-local components during inversion. The WH extension resulted in more accurate and reproducible results than conventional total-variation (TV) regularized QSM.

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