The main goal of this paper is to study the linearization of an inverse medium problem. Regularity and stability results are established for the near-field scattering Ε½ . map or scattering matrix which maps the scatterer to the scattered field. Properties on continuity and Frechet differentiability
Fast regularized linear sampling for inverse scattering problems
β Scribed by M'Barek Fares; Serge Gratton; Philippe L. Toint
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 484 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1070-5325
- DOI
- 10.1002/nla.698
No coin nor oath required. For personal study only.
β¦ Synopsis
A new numerical procedure is proposed for the reconstruction of the shape and volume of unknown objects from measurements of their radiation in the far field. This procedure is a variant and the linear sampling method has a very acceptable computational load and is fully automated. It is based on exploiting an iteratively computed truncated singular-value decomposition and heuristics to extract the desired signal from the background noise. Its performance on a battery of examples of different types is shown to be promising.
π SIMILAR VOLUMES
## Abstract For the approximate solution of illβposed inverse problems, the formulation of a regularization functional involves two separate decisions: the choice of the residual minimizer and the choice of the regularizor. In this paper, the KullbackβLeibler functional is used for both. The result
## Solving an Inverse Diffusion Problem for Magnetic Resonance Dosimetry by a Fast Regularization Method A n inverse diffusion problem that appears in Magnetic Resonance dosimetry is studied. The problem is shown to be equivalent to a deconvolution problem with a known kernel. To cope with the sin