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Review of Scientific Instruments / Volume 79 / Issue 10 / MICROSCOPY AND IMAGING

Rev. Sci. Instrum. 79, 103710 (2008); doi:10.1063/1.3006388 (7 pages)

Electrical impedance tomography with an optimized calculable square sensor

Zhang Cao1, Huaxiang Wang2, and Lijun Xu1

1School of Instrument Science and Opto-Electronics Engineering, Beihang University, Beijing 100191, People's Republic of China
2School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, People's Republic of China

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(Received 13 June 2008; accepted 6 October 2008; published online 31 October 2008)

Electrical impedance tomography is a technique that reconstructs the medium distribution in a region of interest through electrical measurements on its boundary. In this paper, an optimized square sensor was designed for electrical impedance tomography in order to obtain maximum information over the cross section of interest, e.g., circulating fluidized beds, in the sense of Shannon information entropy. An analytical model of the sensor was obtained using the conformal transformation. The model indicates that the square sensor possesses calculable property, which allows the calculation of standard values of the sensor directly from a single dimensional measurement that can be made traceable to the SI unit of length. Based on the model, the sensitivity maps and electrical field lines can be calculated in less than a second. Two model based algorithms for image reconstruction, i.e., back projection algorithm based on electrical field lines and iterative Lavrentiev regularization algorithm based on the sensitivity map, were introduced. Simulated results and experimental results validate the feasibility of the algorithms.

© 2008 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. MATHEMATICAL MODEL OF THE OPTIMIZED SQUARE SENSOR
    1. Optimized square sensor
    2. Mathematical model
    3. Calculation of sensitivity distributions
  3. RESULTS AND DISCUSSIONS
    1. Experimental setup
    2. Results
    3. Discussions
  4. CONCLUSIONS

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KEYWORDS and PACS

Keywords

computerised tomography, fluidised beds, image reconstruction, image sensors, information theory, iterative methods

PACS

ARTICLE DATA

Permalink
http://link.aip.org/link/doi/10.1063/1.3006388

PUBLICATION DATA

ISSN:

0034-6748 (print)  
1089-7623 (online)

Publisher:

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    Z. Cao and H. X. Wang, AIP Conf. Proc. 914, 792 (2007)APCPCS000914000001000792000001.


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