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A trust region subproblem for 3D electrical impedance tomography inverse problem using experimental data


Reference:

Goharian, M., Soleimani, M. and Moran, G., 2009. A trust region subproblem for 3D electrical impedance tomography inverse problem using experimental data. Progress In Electromagnetics Research-PIER, 94, pp. 19-32.

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    Official URL:

    http://dx.doi.org/10.2528/PIER09052003

    Abstract

    Image reconstruction in electrical impedance tomography (EIT) is an ill-posed nonlinear inverse problem. Regularization methods are needed to solve this problem. The results of the ill-posed EIT problem strongly depends on noise level in measured data as well as regularization parameter. In this paper we present trust region subproblem (TRS), with the use of Lcurve maximum curvature criteria to find a regularization parameter. Currently Krylov subspace methods especially conjugate gradient least squares (CGLS) are used for large scale 3D problem. CGLS is an efficient technique when the norm of measured noise is exactly known. This paper demonstrates that CGLS and TRS converge to the same point on the L-curve with the same noise level. TRS can be implemented efficiently for large scale inverse EIT problem as CGLS with no need a priori knowledge of the noise level.

    Details

    Item Type Articles
    CreatorsGoharian, M., Soleimani, M. and Moran, G.
    DOI10.2528/PIER09052003
    DepartmentsFaculty of Engineering & Design > Electronic & Electrical Engineering
    Publisher StatementSoleimani_2009_94_19.pdf: Reproduced with kind permission of PIER.
    RefereedYes
    StatusPublished
    ID Code14759

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