Fast regularized linear sampling for inverse scattering problems

M. Fares, Serge Gratton, Philippe Toint

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Abstract

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. © 2010 John Wiley & Sons, Ltd.
Original languageEnglish
Pages (from-to)55-68
Number of pages14
JournalNumerical Linear Algebra with Applications
Volume18
Issue number1
DOIs
Publication statusPublished - 1 Jan 2011

Keywords

  • linear sampling method
  • regularization heuristics
  • numerical algorithms.
  • inverse scattering

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