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Abstract #3186

Computation of H- from H+ and its application to regularization for Magnetic Resonance Electrical Properties Tomography (MREPT)

Takaaki Nara1 and Motofumi Fushimi1
1Graduate School of Information Science and Technology, The University of Tokyo, Tokyo, Japan

We derive an explicit formula to compute the negative circularly polarized component of the magnetic field, $$$H^-$$$, from the measured positively polarized component, $$$H^+$$$, for magnetic resonance electrical properties tomography (MREPT). Then, using the measured $$$H^+$$$ and the computed $$$H^-$$$, a novel regularization term for MREPT is introduced based on the $$$x$$$- and $$$y$$$-components of Ampere’s law and the $$$z$$$-component of Faraday’s law that have not been used so far for the reconstruction of EPs. This physically reasonable constraint well regularizes EPs at low convection field region.

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