Abstract #3783

An Application of a Projected Newton Method to Electrical Properties Estimation via Global Maxwell Tomography

Jose EC Serralles¹, Ilias I Giannakopoulos², Jacob K White¹, Luca Daniel¹, and Riccardo Lattanzi^2,3,4

¹Electrical Engineering and Computer Science, Computational Prototyping Group (CPG), Research Laboratory of Electronics (RLE), Department of Electrical Engineering and Computer Science (EECS), Massachusetts Institute of Technology (MIT), Cambridge, MA, United States, ²Center for Advanced Imaging Innovation and Research (CAI2R), Department of Radiology, New York University Grossman School of Medicine, New York, NY, United States, ³The Bernard and Irene Schwartz Center for Biomedical Imaging (CBI), Department of Radiology, New York University Grossman School of Medicine, New York, NY, 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 a recently introduced technique that estimates tissue electrical properties from magnetic resonance measurements by solving an inverse scattering problem. In this work, we propose a new implementation of GMT that uses a Projected Newton method to minimize the cost function, instead of the quasi-Newton method employed by the original GMT. We demonstrated the new approach with two numerical experiments, using a four--compartment phantom and a realistic head model. Compared to the results obtained with the original GMT, the number of iterations required for convergence was drastically reduced and the estimated EP were more accurate.

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