A Novel Volume-Surface Integral Equation Formulation of Global Maxwell Tomography: Simulations and Experiments.
Ilias Giannakopoulos1,2, Jose Seralles3, Jan Paska1,2, Georgy Guryev3, Carlotta Ianniello1,2, Luca Daniel3, Jacob White3, Ryan Brown1,2,4, Daniel Sodickson1,2,4, and Riccardo Lattanzi1,2,4
1Center for Advanced Imaging Innovation and Research (CAI2R), Department of Radiology, New York University Grossman School of Medicine, New York, NY, United States, 2The Bernard and Irene Schwartz Center for Biomedical Imaging (CBI), Department of Radiology, New York University Grossman School of Medicine, New York, NY, United States, 3Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA, United States, 4Vilcek Institute of Graduate Biomedical Sciences, New York University Grossman School of Medicine, New York, NY, United States
Global Maxwell Tomography (GMT) is an inverse scattering technique that estimates electrical properties (EP) from magnetic resonance measurements. The original GMT relies on an approximation of the incident fields, which is not accurate for experiments, especially in-vivo. We propose a new GMT formulation, based on the volume-surface integral equation (VSIE) method, where we implicitly re-estimate the incident fields accounting for the updated EP in every GMT iteration. We show average EP reconstruction error below 8% for a uniform phantom experiment and below 10% for a simulation experiment with a heterogeneous head model and realistic SNR.
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