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Coupled Multi-Resolution WMF-FEM to Solve the Forward Problem in Magnetic Induction Tomography Technology

Mohammad Reza Yousefi 1, Farouk Smith 2, Shahrokh Hatefi 2, Khaled Abou-El-Hossein 2, and Jason Z. Kang 3
1. Electrical Engineering Department, Najafabad Branch, Islamic Azad University, Najafabad, Iran
2. Department of Mechatronics, Nelson Mandela University, Port Elizabeth, South Africa
3. Chengdu College of University Electronic Science and Technology of China, Chengdu, China

Abstract—Magnetic Induction Tomography (MIT), is a promising modality used for non-invasive imaging. However, there are some critical limitations in the MIT technique, including the forward problem. In this study, a coupled multi-resolution method combining Wavelet-based Mech Free (WMF) method and Finite Element Method (FEM), short for WMF-FEM method, is proposed to solve the MIT forward problem. Results show that using the WMF-FEM method could successfully solve the mesh coordinates dependence problem in FEM, apply boundary condition in the WMF method, and increase MIT approximations. Simulations show improved results compared to the standard FEM and WFM method. The proposed coupled multi-resolution WMF-FEM method could be used in the MIT technique to solve the forward problem. The contribution of this paper is a simulated MIT system whose performance is closely predicted by mathematical models. The derivation of the simulation equations of the coupled WMF-FEM method is shown. This new approach to the forward problem in MIT has shown an increase in the accuracy in MIT approximations.
 
Index Terms—Finite element method, magnetic induction tomography, mesh free method, multi-resolution wavelet method

Cite: Mohammad Reza Yousefi, Farouk Smith, Shahrokh Hatefi, Khaled Abou-El-Hossein, and Jason Z. Kang, "Coupled Multi-Resolution WMF-FEM to Solve the Forward Problem in Magnetic Induction Tomography Technology," International Journal of Electrical and Electronic Engineering & Telecommunications