A NEW REGULARIZATION SCHEME FOR INVERSE SCATTERING

Citation
P. Lobel et al., A NEW REGULARIZATION SCHEME FOR INVERSE SCATTERING, Inverse problems, 13(2), 1997, pp. 403-410
Citations number
23
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical",Mathematics
Journal title
ISSN journal
02665611
Volume
13
Issue
2
Year of publication
1997
Pages
403 - 410
Database
ISI
SICI code
0266-5611(1997)13:2<403:ANRSFI>2.0.ZU;2-B
Abstract
The reconstruction of the complex permittivity profile of inhomogeneou s objects from measured scattered field data is a strongly nonlinear a nd ill-posed problem. Generally, the quality of the reconstruction fro m noisy data is enhanced by the introduction of a regularization schem e. Starting from an iterative algorithm based on a conjugate gradient method and applied to the nonlinear problem, this paper deals with a n ew regularization scheme, using edge-preserving (EP) potential functio ns. With this a priori information, the object to reconstruct is model led with homogeneous areas separated by borderlike discontinuities. Th e enhancement is illustrated throughout some examples with noisy synth etic data.