A reconstruction formula and uniqueness of conductivity in MREIT using two internal current distributions

@article{Lee2004ARF,
  title={A reconstruction formula and uniqueness of conductivity in MREIT using two internal current distributions},
  author={June-Yub Lee},
  journal={Inverse Problems},
  year={2004},
  volume={20},
  pages={847 - 858}
}
We consider a reconstruction formula for the internal conductivity and uniqueness of conductivity in magnetic resonance electrical impedance tomography (MREIT) which aims to reconstruct the conductivity distribution using internal current distribution. We provide a counter-example of uniqueness for a single measurement of current density with Neumann boundary data and show that at least two measurements are required unless Dirichlet boundary data are given. We present a reconstruction formula…