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Solution of the Direct Problem of Electrical Impedance Tomography using the Finite Element Method

Beik Khormizi, Hamed | 2011

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 41950 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Zahedi, Edmond; Vosoughi Vahdat, Bijan
  7. Abstract:
  8. Today, the various medical imaging methods have had a wide development in achieving lower cost, lower volume, higher safety, higher quality and being more noninvasive. Compared with the other existing methods, Electrical Impedance Tomography (EIT) can solely meet the first three objectives. Although there have been some presented methods with significant progress, this method has still much lower quality than the other methods (like magnetic resonance imaging or X-ray imaging). In EIT, via the injection of an electrical current (in frequencies between 1-100 kHz and the amplitude between 1-5 mA) and the measurement of the voltage induced in the border areas of the body, a map of the internal resistance of body is acquired. So here like the other medical imaging techniques, it is required to reconstruct the image from obtained data.
    In EIT technique, we always face with two kind of problems; direct and inverse. In the direct problems, the electrical impedance distribution and applied current are known and electric potential distribution is calculated, but in the inverse ones, the electrical potential achieved by measurements in the boundaries and the flow are known and the distribution of electrical impedance is calculated. In general, the solution of this problem can be considered in the class of inverse problems; because instead of applying environmental effects on the inputs and obtaining the outputs, we try to gain environmental parameters from determined outputs. In this project, we have followed to solve the direct problem of Electrical Impedance Tomography using the finite element as a suitable method for problems with complex environmental conditions. In this method, the specified environment is divided into very small partitions (in triangle or rectangle shape) and the overall potential is achieved by determining the potential in the nodes of created network
  9. Keywords:
  10. Forward Problem ; Inverse Problem ; Finite Element Method ; Electrical Impedance Tomography

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