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SUMMARY:A free-discontinuity approach to inverse problems - Rondi\, L (Uni
 versit degli Studi di Trieste)
DTSTART:20110826T100000Z
DTEND:20110826T104500Z
UID:TALK32507@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Phase-field methods and length or perimeter penalization have 
 been successfully applied to many imaging problems\, such as for instance 
 the Mumford-Shah approach to segmentation and its phase-field counterpart 
 by Ambrosio and Tortorelli.\n\nIn this talk we shall illustrate how these 
 techniques may be used also to treat inverse problems where a discontinuou
 s function has to be recovered. As an example we consider the inverse prob
 lem of determining insulating cracks or cavities by performing few electro
 static measurements on the boundary.  We show the validity of these method
 s by a convergence analysis and by numerical experiments. The numerical ex
 periments have been performed jointly with Wolfgang Ring (University of Gr
 az\, Austria).\n\n
LOCATION:Seminar Room 1\, Newton Institute
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