USING ELECTRICAL IMPEDANCE TOMOGRAPHY IN LINEAR ARRAYS OF MEASUREMENT

Tomasz Rymarczyk

tomasz.rymarczyk@netrix.com.pl
Netrix S.A., Research and Development Center (Poland)

Abstract

The article presents an application to the topology optimization in electrical impedance tomography using the level set method. The level set function is based on shape and topology optimization for areas with partly continuous conductivities. The finite element method has been used to solve the forward problem. The proposed algorithm is initialized using topological sensitivity analysis. Shape derivative and material derivative have been incorporated with the level set method to investigate shape optimization problems. The coupled algorithm is a relatively new procedure to overcome this problem. Using the line measurement model is very useful to solve the inverse problem in the copper-mine ceiling and the flood embankment.


Keywords:

inverse problem, level set method, electrical impedance tomography

Ito K., Kunish K., Li Z.: The Level-Set Function Approach to an Inverse Interface Problem. Inverse Problems, Vol. 17, No. 5, 2001, 1225–1242.
  Google Scholar

Li C., Xu C., Gui C., Fox M. D.: Level set evolution without re-initialization. A new variational formulation, In IEEE Conference on Computer Vision and Pattern Recognition (CVPR), volume 1, 2005, 430–436.
  Google Scholar

Osher S., Sethian J.A.: Fronts Propagating with Curvature Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations, Journal of Computational Physics, 79, 1988, 12–49.
  Google Scholar

Osher S., Fedkiw R.: Level Set Methods and Dynamic Implicit Surfaces. Springer, New York 2003.
  Google Scholar

Osher S., Santosa F.: Level set methods for optimization problems involving geometry and constraints. Frequencies of a two-density inhomogeneous drum. Journal of Computational Physics, 171, 2001, 272–288.
  Google Scholar

Rymarczyk T.: Using electrical impedance tomography to monitoring flood banks, International Journal of Applied Electromagnetics and Mechanics 45, 2014, 489–494.
  Google Scholar

Rymarczyk T.: Characterization of the shape of unknown objects by inverse numerical methods, Przegląd Elektrotechniczny, R. 88 NR, 7b/2012, 2012, 138–140.
  Google Scholar

Rymarczyk T., Sikora J., Waleska B.: Coupled Boundary Element Method and Level Set Function for Solving Inverse Problem in EIT, 7th World Congress on Industrial Process Tomography, WCIPT7, Krakow 2013.
  Google Scholar

Rymarczyk T, Adamkiewicz P., Duda K., Szumowski J., Sikora J.: New Electrical Tomographic Method to Determine Dampness in Historical Buildings, Achieve of Electrical Engineering, v.65, 2, 2016, 273–283.
  Google Scholar

Sethian J.A.: Level Set Methods and Fast Marching Methods. Cambridge University Press, 1999.
  Google Scholar

Smolik W, Forward Problem Solver for Image Reconstruction by Nonlinear Optimization in Electrical Capacitance Tomography, Flow Measurement and Instrumentation, Vol. 21, Issue 1, 2010, 70–77.
  Google Scholar

Wajman R., Fiderek P., Fidos H., Jaworski T., Nowakowski J., Sankowski D., Banasiak R.: Metrological evaluation of a 3D electrical capacitance tomography measurement system for two-phase flow fraction determination; Meas. Sci. Technol., Vol. 24, 2013, No. 065302.
  Google Scholar

Tai C., Chung E., Chan T.: Electrical impedance tomography using level set representation and total variational regularization. Journal of Computational Physics, vol. 205, no. 1, 2005, 357–372.
  Google Scholar

Zhao H.-K., Osher S., Fedkiw R.: Fast Surface Reconstruction using the Level Set Method. 1st IEEE Workshop on Variational and Level Set Methods, in conjunction with the 8th International Conference on Computer Vision (ICCV), Vancouver, Canada, 2001, 194–202.
  Google Scholar

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Published
2017-03-03

Cited by

Rymarczyk, T. . (2017). USING ELECTRICAL IMPEDANCE TOMOGRAPHY IN LINEAR ARRAYS OF MEASUREMENT. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 7(1), 76–79. https://doi.org/10.5604/01.3001.0010.4588

Authors

Tomasz Rymarczyk 
tomasz.rymarczyk@netrix.com.pl
Netrix S.A., Research and Development Center Poland

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