An interpolation algorithm with corresponding point matching is presented for interpolating two-dimensional reconstructed images of electrical impedance tomography(EIT）to realize three-dimensional reconstruction. The calculation methods of the gradient and its orientation angle have been adjusted according to the characteristic of the EIT data, and the interpolated slice shows good quality. The experimental model is a 2.1 S/m cylinder agar block immersed in a cylindrical water tank. The comparisons of the presented algorithm to the linear interpolation and the shape-based interpolation are made. The results show that corresponding point matching algorithm can ensure both accuracy and computational efficiency, thus the algorithm satisfies the requirements of the real-time EIT monitoring.