Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2013 (2013), Article ID 454706, 11 pages.
Image Reconstruction Based on Homotopy Perturbation Inversion Method for Electrical Impedance Tomography
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.
J. Appl. Math., Volume 2013 (2013), Article ID 454706, 11 pages.
First available in Project Euclid: 14 March 2014
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Wang, Jing; Han, Bo. Image Reconstruction Based on Homotopy Perturbation Inversion Method for Electrical Impedance Tomography. J. Appl. Math. 2013 (2013), Article ID 454706, 11 pages. doi:10.1155/2013/454706. https://projecteuclid.org/euclid.jam/1394808297