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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.
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Contributor : Jean-Michel Geffrin <>
Submitted on : Thursday, December 3, 2009 - 9:54:53 AM
Last modification on : Thursday, January 23, 2020 - 6:22:15 PM


  • HAL Id : hal-00438246, version 1



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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