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PIER PIER B PIER C PIER M PIER Letters
2009-07-06
A Trust Region Subproblem for 3D Electrical Impedance Tomography Inverse Problem Using Experimental Data
By
Mehran Goharian,

    Dr. Mehran Goharian

    Medical Physics and Applied Radiation Sciences

    McMaster University

    Canada

    Homepage

Manuchehr Soleimani,

    Prof. Manuchehr Soleimani

    Dept of Electronic and Electrical Engineering

    University of Bath

    UK

    Homepage

Gerald R. Moran

    Dr. Gerald R. Moran

    Medical Physics and Applied Radiation Sciences

    McMaster University

    Canada

    Homepage

Progress In Electromagnetics Research, Vol. 94, 19-32, 2009
doi: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.
Citation
Mehran Goharian, Manuchehr Soleimani, and Gerald R. Moran, "A Trust Region Subproblem for 3D Electrical Impedance Tomography Inverse Problem Using Experimental Data," Progress In Electromagnetics Research, Vol. 94, 19-32, 2009.
doi:10.2528/PIER09052003
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