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Abstract #1265

Boundary value estimation for electrical properties tomography based on Helmholtz decomposition for the electric and magnetic fields

Takaaki Nara1 and Naohiro Eda1
1The University of Tokyo, Tokyo, Japan

Synopsis

Keywords: Electromagnetic Tissue Properties, Electromagnetic Tissue Properties

Motivation: The conventional methods for electrical properties (EPs) tomography without the local homogeneity assumption requires the EP values on the ROI boundary, which are not available in practical situations.

Goal(s): Our goal was to develop a method that can compute the boundary EP values from the measured B1 field.

Approach: We derived an integral equation for the boundary EP values based on the Helmholtz decomposition for the electric and magnetic fields.

Results: The proposed method was verified numerically and experimentally with a phantom, showing that it can reconstruct the EP contrast more accurately than the conventional integral-equation-based method that assumes incorrect boundary values.

Impact: The estimated boundary EP values can be used in the conventional partial-differential-equation-based and integral-equation based methods for reconstructing non-homogeneous EPs in the ROI, which eliminates the necessity of assuming the boundary EPs.

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Keywords