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Numerical conductivity reconstruction from partial interior current density information in three dimensions

This project focuses on conductivity imaging of a three-dimensional object using interior current density information (ICDI). For all possible forms of ICDI data, the Fr´echet derivative of the map between conductivity and ICDI is derived. Then, an iterative reconstruction method is formulated based on the Newton scheme. The method is implemented numerically and its properties are investigated on simulated data obtained from two different phantoms.

Simple phantom

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Complex phantom

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The method is also benchmarked against the J-substitution method.

If you find codes useful in your research, please cite our work (doi: 10.1088/1361-6420/ac1e81).