Generalized cross-validation applied to a Newton-type algorithm for microwave tomography

Anne Franchois; Christian Pichot

doi:10.1117/12.139019

29 December 1992 Generalized cross-validation applied to a Newton-type algorithm for microwave tomography

Anne Franchois, Christian Pichot

Proceedings Volume 1767, Inverse Problems in Scattering and Imaging; (1992) https://doi.org/10.1117/12.139019
Event: San Diego '92, 1992, San Diego, CA, United States

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.

Citation Download Citation

Anne Franchois and Christian Pichot "Generalized cross-validation applied to a Newton-type algorithm for microwave tomography", Proc. SPIE 1767, Inverse Problems in Scattering and Imaging, (29 December 1992); https://doi.org/10.1117/12.139019

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