Reconstruction of Conductivity Based on Radial Basis Functions in MREIT

Magnetic Resonance Electrical Impedance Tomography (MREIT) is a new medical imaging technique. The basic idea of MREIT is to reconstruct the medium conductivity using the internal magnetic flux information, based on the Maxwell equations. This paper considers the numerical realization of the well-developed harmonic magnetic flux algorithm for the noisy input data. By constructing the minimizer of the Tikhonov functional in terms of the Radial Basis Functions (RBF) with a posteriori choice rules for the regularization parameter, we propose a stable realization for this algorithm. Finally, numerical examples are given to show the validity of the proposed method.