2008.43: Reconstruction Algorithms for Permittivity and Conductivity Imaging
2008.43: William R.B. Lionheart (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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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.
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|Uncontrolled Keywords:||Keywords Reconstruction algorithms, electrical imaging, ECT, ERT,regularization|
|Subjects:||MSC 2000 > 35 Partial differential equations|
MSC 2000 > 65 Numerical analysis
|Deposited By:||Prof WRB Lionheart|
|Deposited On:||14 April 2008|