A Novel Conductivity Reconstruction Algorithm for Magnetic Resonance Electrical Impedance Tomography (MREIT)

In this paper a novel conductivity reconstruction algorithm for MREIT was proposed. The algorithm can be implemented utilizing permanent magnetic resonance imaging system (Generally the main magnetic field is perpendicular to the horizontal plane.). We distribute the electrodes on the boundary of the selected slice which is not perpendicular to the main magnetic field. The magnetic flux density induced by the applied currents in the selected slice has a component in the direction of the main magnetic field and the component can be measured. Then the equation expressing the relation between the conductivity and the measured magnetic flux density was obtained. In order to guarantee the uniqueness of the reconstructed conductivity, two different solutions were given. The corresponding algorithm was proposed and analyzed. The performance of the algorithm was also discussed.