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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