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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Demidenko, E. Hartov, A. Soni, N. Paulsen, K.D. |
| Copyright Year | 1964 |
| Abstract | We develop a statistical criterion for optimal patterns in planar circular electrical impedance tomography. These patterns minimize the total variance of the estimation for the resistance or conductance matrix. It is shown that trigonometric patterns (Isaacson, 1986), originally derived from the concept of distinguishability, are a special case of our optimal statistical patterns. New optimal random patterns are introduced. Recovering the electrical properties of the measured body is greatly simplified when optimal patterns are used. The Neumann-to-Dirichlet map and the optimal patterns are derived for a homogeneous medium with an arbitrary distribution of the electrodes on the periphery. As a special case, optimal patterns are developed for a practical EIT system with a finite number of electrodes. For a general nonhomogeneous medium, with no a priori restriction, the optimal patterns for the resistance and conductance matrix are the same. However, for a homogeneous medium, the best current pattern is the worst voltage pattern and vice versa. We study the effect of the number and the width of the electrodes on the estimate of resistivity and conductivity in a homogeneous medium. We confirm experimentally that the optimal patterns produce minimum conductivity variance in a homogeneous medium. Our statistical model is able to discriminate between a homogenous agar phantom and one with a 2 mm air hole with error probability (p-value) 1/1000. |
| Sponsorship | IEEE Engineering in Medicine and Biology Society |
| Page Count | 11 |
| File Size | 803957 |
| Starting Page | 238 |
| Ending Page | 248 |
| File Format | |
| ISSN | 00189294 |
| Volume Number | 52 |
| Issue Number | 2 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2005-02-01 |
| Publisher Place | U.S.A. |
| Access Restriction | One Nation One Subscription (ONOS) |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Impedance Tomography Electrodes Conductivity Immune system Transmission line matrix methods Electric resistance Electrical resistance measurement Electric variables measurement Voltage trigonometric pattern Conductivity equation design of experiments distinguishability eigenfunction EIT least squares Neumann-to-Dirichlet map |
| Content Type | Text |
| Resource Type | Article |
| Subject | Biomedical Engineering |
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