Abstract #2202

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

Carlos Milovic^1,2, Berkin Bilgic³, Bo Zhao³, Christian Langkammer⁴, Cristian Tejos^1,2, 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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