Fast regularized linear sampling for inverse scattering problems
      
               M. Fares, S. Gratton and Ph. L. Toint

                   Report 09/08  19 March 2009

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  and 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.