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Fast regularized linear sampling for inverse scattering problems |
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| Authors: | M'Barek Fares Serge Gratton Philippe L Toint |
| Institution: | 1. CERFACS, 42, avenue Coriolis, 31057 Toulouse Cedex 01, France;2. Centre National d'Etudes Spatiales (CNES), 18, avenue Edouard Belin, 31401 Toulouse, France;3. Department of Mathematics, FUNDP‐University of Namur, 61, rue de Bruxelles, B‐5000 Namur, Belgium |
| 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. Copyright © 2010 John Wiley & Sons, Ltd. |
| Keywords: | inverse scattering linear sampling method regularization heuristics numerical algorithms |