A Transformation-Domain Image Reconstruction Method for Open Electrical Impedance Tomography Based on Conformal Mapping

Open electrical impedance tomography (OEIT) is a nondestructive testing technique imaging the objects within the infinite observation domain through the electrodes fixed at one side of this domain. A novel image reconstruction method is proposed based on the conformal transformation method. The proposed method solves the EIT problems, including both the forward and inverse problems, in the conformal transform domain, instead of original Euclidean domain. The numerical and experimental results show that the proposed method is with higher computational accuracy for the forward and inverse problems comparing with the traditional methods of truncating the infinite domain to a small closed region. The quantitative analyses show that the proposed method can improve the reconstructed accuracy of OEIT, especially for the conductivity changes far from the electrodes.