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Image Reconstruction Based on Homotopy Perturbation Inversion Method for Electrical Impedance Tomography
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-15
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Wang, Jing& Han, Bo. 2013. Image Reconstruction Based on Homotopy Perturbation Inversion Method for Electrical Impedance Tomography. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-472886
Modern Language Association (MLA)
Wang, Jing& Han, Bo. Image Reconstruction Based on Homotopy Perturbation Inversion Method for Electrical Impedance Tomography. Journal of Applied Mathematics No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-472886
American Medical Association (AMA)
Wang, Jing& Han, Bo. Image Reconstruction Based on Homotopy Perturbation Inversion Method for Electrical Impedance Tomography. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-472886
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472886