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Proceedings Paper

Generalized cross-validation applied to a Newton-type algorithm for microwave tomography
Author(s): Anne Franchois; Christian Pichot
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Paper Abstract

The non-linear inverse scattering problem, occurring in the field of microwave tomography for biomedical applications, is solved with the Newton-type iterative algorithm. This method allows the reconstruction of the complex permittivity of strongly inhomogeneous objects. An ill-conditioned system of linear equations is obtained at each iteration and is regularized using Tikhonov's method. The choice of regularization is crucial, specially when random error is present in the data. We investigate the Generalized Cross Validation method for choosing the regularization parameter. Numerical examples are given in the case of 2D TM inverse problems.

Paper Details

Date Published: 29 December 1992
PDF: 9 pages
Proc. SPIE 1767, Inverse Problems in Scattering and Imaging, (29 December 1992); doi: 10.1117/12.139019
Show Author Affiliations
Anne Franchois, Lab. des Signaux et Systemes (France)
Christian Pichot, Lab. des Signaux et Systemes (France)

Published in SPIE Proceedings Vol. 1767:
Inverse Problems in Scattering and Imaging
Michael A. Fiddy, Editor(s)

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