A volumetric integral equation formulation for magnetic induction tomography

Tillieux, Philippe De; Goussard, Yves

doi:10.1109/cama.2016.7815790

Cited by 2 publications

(2 citation statements)

References 11 publications

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“…Since both permittivity and conductivity are being reconstructed (as opposed to only conductivity for NDE) and because at these frequencies biological tissues have very high dielectric properties [2], conditioning issues arise. For large domains requiring the implementation of iterative solvers, this yields a slow convergence of both the forward and the inverse solvers [1]. This paper presents and validates a model that tackles this conditioning issue arising from the high contrasts in biomedical MIT by using Green's function theory.…”

Section: Introductionmentioning

confidence: 96%

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Biomedical magnetic induction tomography: An inhomogeneous green's function approach

Tillieux

Goussard

2018

2018 International Applied Computational Electromagnetics Society Symposium (ACES)

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Magnetic induction tomography aims to reconstruct the passive electric properties of an object by measuring its scattered magnetic field. Current state-ofthe-art numerical techniques are based on differential formulations such as the finite element method. A formulation based on volume integral equations has not yet been applied to its biomedical field and could improve the reconstruction speed by reducing the number of unknowns. This paper investigates salient characteristics of the approach and offers a solution based on inhomogeneous Green's functions.

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Section: Introductionmentioning

confidence: 96%

“…Biomedical magnetic induction tomography (MIT) is a novel imaging technique with applications to stroke detection, inductive measurement of wound conductivity and lung imaging [1]. Its main benefits are a very low operating and construction cost, non-ionizing interactions with matter and contactless operation.…”

Section: Introductionmentioning

confidence: 99%

Biomedical magnetic induction tomography: An inhomogeneous green's function approach

Tillieux

Goussard

2018

2018 International Applied Computational Electromagnetics Society Symposium (ACES)

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

Yousefi¹,

Smith²,

Hatefi³

et al. 2020

ijeetc

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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.

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A volumetric integral equation formulation for magnetic induction tomography

Cited by 2 publications

References 11 publications

Biomedical magnetic induction tomography: An inhomogeneous green's function approach

Biomedical magnetic induction tomography: An inhomogeneous green's function approach

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

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