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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