Comparing methods of image reconstruction in electrical impedance tomography

• Autorzy: Rymarczyk T. , Filipowicz S.F. , Sikora J.
• Konferencja: Computer Applications in Electrical Engineering 2011 (11-13.04.2011; Poznań, Polska)
• Języki publikacji: EN

Abstrakty

EN

The problem of the image reconstruction in Electrical Impedance Tomography (EIT) is a highly ill-posed inverse problem. There are mainly two categories of image reconstruction algorithms, the direct algorithm and the iterative algorithm which was used in this publication. This paper presents the applications of the level set function for identification the unknown shape of an interface motivated by Electrical Impedance Tomography (EIT) by using a several level set algorithms. The conductivity values in different regions are determined by the finite element method. The applications were based on the level set method, the variational level set algorithm and the Mumford-Shah algorithm to solve the inverse problem.

Słowa kluczowe

EN

impedance tomography; electrical impedance tomography; EIT

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Computer Applications in Electrical Engineering
• Rocznik: 2011
• Tom: Vol. 9
• Strony: 23--33
• Opis fizyczny: Bibliogr. 8 poz., rys., tab.

Twórcy

autor

Rymarczyk T.

• Electrical Engineering Institute 04-703 Warszawa, ul. Pożaryskiego 28

autor

Filipowicz S.F.

• Electrical Engineering Institute 04-703 Warszawa, ul. Pożaryskiego 28

autor

Sikora J.

• Electrical Engineering Institute 04-703 Warszawa, ul. Pożaryskiego 28

Bibliografia

• [1] Filipowicz S.F., Rymarczyk T.: Tomografia Impedancyjna, pomiary, konstrukcje i metody tworzenia obrazu. BelStudio, Warsaw, 2003.
• [2] Ito K., Kunish K., Li Z.: The Level-Set Function Approach to an Inverse Interface Problem. Inverse Problems, Vol. 17, No. 5, pp. 1225-1242, 2001.
• [3] Li C., Xu C., Gui C., and M. D. Fox., “Level set evolution without re-initialization: A new variational formulation”, In IEEE Conference on Computer Vision and Pattern Recognition (CVPR), volume 1, pages 430-436, 2005.
• [4] Mumford D., Shah J.: Optimal approximation by piecewise smooth functions and associatedvariationalproblems. Comm. Pure Appl. Math., (42):577-685, 1989.
• [5] Osher S., Fedkiw R.: Level Set Methods and Dynamic Implicit Surfaces. Springer, New York, 2003.
• [6] Osher S., Sethian J.A.: Fronts Propagating with Curvature Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations. Journal of Computational Physics, 79, 12-49, 1988.
• [7] 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, pp. 272-288, 2001.
• [8] Rymarczyk T., Filipowicz S.F., Sikora J.: Numerical algorithms for the image reconstruction in electrical impedance tomography. COMPUMAG 2009, Florianópolis, Brasil, November 22-26, 2009.