Abstract
Traditionally, image reconstruction in electrical impedance tomography (EIT) has been based on Laplace's equation. However, at high frequencies the coupling between electric and magnetic fields requires solution of the full Maxwell equations. In this paper, a formulation is presented in terms of the Maxwell equations expressed in scalar and vector potentials. The approach leads to boundary conditions that naturally align with the quantities measured by EIT instrumentation. A two-dimensional implementation for image reconstruction from EIT data is realized. The effect of frequency on the field distribution is illustrated using the high-frequency model and is compared with Laplace solutions. Numerical simulations and experimental results are also presented to illustrate image reconstruction over a range of frequencies using the new implementation. The results show that scalar/vector potential reconstruction produces images which are essentially indistinguishable from a Laplace algorithm for frequencies below 1 MHz but superior at frequencies reaching 10 MHz.
Original language | English |
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Pages (from-to) | 55-61 |
Number of pages | 7 |
Journal | IEEE Transactions on Medical Imaging |
Volume | 25 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 2006 |
Bibliographical note
Funding Information:Manuscript received January 10, 2005; revised October 4, 2005. This work was supported in part by the National Institutes of Health (NIH) National Cancer Institute under Grant P01-CA80139. The Associate Editor responsible for coordinating the review of this paper an recommending its publication was C. McLeod. Asterisk indicates corresponding author. *N. K. Soni is with the Philips Medical Systems, Cleveland, OH 44143 USA (e-mail: [email protected]).
Keywords
- Aphilipp
- Electrical impedance tomography
- Finite element implementation
- Image reconstruction
- Laplace equations
- Maxwell equations
ASJC Scopus subject areas
- Software
- Radiological and Ultrasound Technology
- Computer Science Applications
- Electrical and Electronic Engineering