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Journal of Applied Mathematics
Volume 2013 (2013), Article ID 454706, 11 pages
Research Article

Image Reconstruction Based on Homotopy Perturbation Inversion Method for Electrical Impedance Tomography

Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China

Received 9 May 2013; Revised 26 November 2013; Accepted 27 November 2013

Academic Editor: Md. Sazzad Chowdhury

Copyright © 2013 Jing Wang and Bo Han. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The image reconstruction for electrical impedance tomography (EIT) mathematically is a typed nonlinear ill-posed inverse problem. In this paper, a novel iteration regularization scheme based on the homotopy perturbation technique, namely, homotopy perturbation inversion method, is applied to investigate the EIT image reconstruction problem. To verify the feasibility and effectiveness, simulations of image reconstruction have been performed in terms of considering different locations, sizes, and numbers of the inclusions, as well as robustness to data noise. Numerical results indicate that this method can overcome the numerical instability and is robust to data noise in the EIT image reconstruction. Moreover, compared with the classical Landweber iteration method, our approach improves the convergence rate. The results are promising.