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Article Dans Une Revue Inverse Problems Année : 1997

A new regularization scheme for inverse scattering

Résumé

The reconstruction of the complex permittivity profile of inhomogeneous objects from measured scattered field data is a strongly nonlinear and ill-posed problem. Generally, the quality of the reconstruction from noisy data is enhanced by the introduction of a regularization scheme. Starting from an iterative algorithm based on a conjugate gradient method and applied to the nonlinear problem, this paper deals with a new regularization scheme, using edge-preserving (EP) potential functions. With this a priori information, the object to reconstruct is modelled with homogeneous areas separated by borderlike discontinuities. The enhancement is illustrated throughout some examples with noisy synthetic data.

Dates et versions

hal-00986338 , version 1 (02-05-2014)

Identifiants

Citer

P. Lobel, Laure Blanc-Féraud, Christian Pichot, Michel Barlaud. A new regularization scheme for inverse scattering. Inverse Problems, 1997, 13 (2), pp.403-410. ⟨10.1088/0266-5611/13/2/013⟩. ⟨hal-00986338⟩
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