Imposing Zernike representation for imaging two-dimensional targets

Abstract : To overcome the ill-posedness of the inverse scattering problem, we introduce an appropriate way of representing the unknown permittivity profile which benefits from two a priori pieces of information which are commonly encountered. First, the unknown permittivity map has a limited spatial support which can be contained within a circular investigation area. Second, from physical reasoning based on the scattering operator, there is only a limited number of independent parameters that can be retrieved from the measured fields. Both pieces of a priori information can be adequately introduced by representing the unknown permittivity profile in terms of a Zernike polynomial expansion, correctly truncated according to the number of independent parameters. To investigate the effectiveness of such a Zemike representation, the reconstructions obtained from experimentally acquired data in the circular microwave scanner developed at the Institut Fresnel are analyzed.
Type de document :
Article dans une revue
Inverse Problems, IOP Publishing, 2009, 25 (3), pp.035012
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https://hal.archives-ouvertes.fr/hal-00438246
Contributeur : Jean-Michel Geffrin <>
Soumis le : jeudi 3 décembre 2009 - 09:54:53
Dernière modification le : jeudi 18 janvier 2018 - 02:27:56

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  • HAL Id : hal-00438246, version 1

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R. Lencrerot, Amelie Litman, Hervé Tortel, Jean-Michel Geffrin. Imposing Zernike representation for imaging two-dimensional targets. Inverse Problems, IOP Publishing, 2009, 25 (3), pp.035012. 〈hal-00438246〉

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