Abstract
Magnetic resonance electrical impedance tomography (MREIT) is to visualize the current density and the conductivity distribution in an electrical object Ω using the measured magnetic flux data by an MRI scanner. MREIT uses only one component Bz of the magnetic flux density B = (Bx, By, Bz) generated by an injected electrical current into the object. In this paper, we propose a fast and direct non-iterative algorithm to reconstruct the internal conductivity distribution in Ω with the measured Bz data. To develop the algorithm, we investigate the relation between the projected current density JP, a uniquely determined component of J by the map from current J to measured Bz data and the isotropic conductivity. Three-dimensional numerical simulations and phantom experiments are studied to show the feasibility of the proposed method by comparing with those using the conventional iterative harmonic Bz algorithm.
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