Reconstruction Algorithms for Permittivity and Conductivity Imaging

Lionheart, William R.B. (2001) Reconstruction Algorithms for Permittivity and Conductivity Imaging. Proceedings of the 2nd World Congress on Industrial Process Tomography, Hannover, Germany , Wednesday 29th to Friday 31st August 2001. pp. 4-11.

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Abstract

Linear reconstruction algorithms are reviewed using assumed covariance matrices for the conductivity and data and the formulation of Tikhonov regularization using the singular value decomposition (SVD) with covariance norms. It is shown how iterative reconstruction algorithms, such as Landweber and conjugate gradient, can be used for regularization and analysed in terms of the SVD, and implemented directly for a one−step Newton’s method. Where there are known inequality constraints, such as upper and lower bounds, these can be incorporated in iterative methods and have a stabilizing effect on reconstructions.

Item Type:	Article
Additional Information:	This version does not have the header and page numbers from the final version, and may not be exactly the same.
Uncontrolled Keywords:	Keywords Reconstruction algorithms, electrical imaging, ECT, ERT,regularization
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 35 Partial differential equations MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis
Depositing User:	Prof WRB Lionheart
Date Deposited:	14 Apr 2008
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1078

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