# Soft Shrinkage Thresholding Algorithm for Nonlinear Microwave Imaging

Abstract : In this paper, we analyze a sparse nonlinear inverse scattering problem arising in microwave imaging and numerically solved it for retrieving dielectric contrast from measured fields. In sparsity reconstruction, contrast profiles are a priori assumed to be sparse with respect to a certain base. We proposed an approach which is motivated by a Tikhonov functional incorporating a sparsity promoting $l_{1}$-penalty term. The proposed iterative algorithm of soft shrinkage type enforces the sparsity constraint at each nonlinear iteration. The scheme produces sharp and good reconstruction of dielectric profiles in sparse domains by adapting Barzilai and Borwein (BB) step size selection criteria and positivity by maintaining its convergence during the reconstruction.
Type de document :
Communication dans un congrès
International Workshop on New Computational Methods for Inverse Problems (NCMIP 2016), May 2016, Cachan, France. 4 p., Proceedings of the International Workshop on New Computational Methods for Inverse Problems (NCMIP 2016)
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https://hal-centralesupelec.archives-ouvertes.fr/hal-01341979
Contributeur : Marc Lambert <>
Soumis le : mardi 5 juillet 2016 - 11:20:16
Dernière modification le : vendredi 31 août 2018 - 08:54:38

### Identifiants

• HAL Id : hal-01341979, version 1

### Citation

Hidayet Zaimaga, Marc Lambert. Soft Shrinkage Thresholding Algorithm for Nonlinear Microwave Imaging. International Workshop on New Computational Methods for Inverse Problems (NCMIP 2016), May 2016, Cachan, France. 4 p., Proceedings of the International Workshop on New Computational Methods for Inverse Problems (NCMIP 2016). 〈hal-01341979〉

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