QUADRANT-SEARCHING: A NEW TECHNIQUE TO REDUCE THE SEARCH SPACE OF THE INVERSE PROBLEM OF EIT USING BEM TO THE DIRECT PROBLEM

Olavo H. Menin () and Vanessa Rolnik ()
Additional contact information
Olavo H. Menin: Instituto Federal de Educação, Ciência e Tecnologia de São Paulo, Rua Américo Ambrósio, 269, 14169263 Sertãozinho-SP, Brazil
Vanessa Rolnik: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto, Universidade de São Paulo — USP, Av. Bandeirantes, 3900, 14040-901 Ribeiro Preto-SP, Brazil

International Journal of Modern Physics C (IJMPC), 2011, vol. 22, issue 08, 825-839

Abstract: The image reconstruction using the EIT (Electrical Impedance Tomography) technique is a nonlinear and ill-posed inverse problem which demands a powerful direct or iterative method. A typical approach for solving the problem is to minimize an error functional using an iterative method. In this case, an initial solution close enough to the global minimum is mandatory to ensure the convergence to the correct minimum in an appropriate time interval. The aim of this paper is to present a new, simple and low cost technique (quadrant-searching) to reduce the search space and consequently to obtain an initial solution of the inverse problem of EIT. This technique calculates the error functional for four different contrast distributions placing a large prospective inclusion in the four quadrants of the domain. Comparing the four values of the error functional it is possible to get conclusions about the internal electric contrast. For this purpose, initially we performed tests to assess the accuracy of the BEM (Boundary Element Method) when applied to the direct problem of the EIT and to verify the behavior of error functional surface in the search space. Finally, numerical tests have been performed to verify the new technique.

Keywords: Electrical impedance tomography; boundary element methods; inverse problem; search space reduction; 11.25.Hf; 123.1K (search for similar items in EconPapers)
Date: 2011
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183111016634
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:22:y:2011:i:08:n:s0129183111016634

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183111016634

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().