On the regularization of the inverse conductivity problem with discontinuous conductivities

We consider the regularization of the inverse conductivity problem with discontinuous conductivities, like for example the so-called inclusion problem. We theoretically validate the use of some of the most widely adopted regularization operators, like for instance total variation and the Mumford-Shah functional, by proving a convergence result for the solutions to the regularized minimum problems.

Titolo: On the regularization of the inverse conductivity problem with discontinuous conductivities
Autori: 
RONDI, LUCA
Data di pubblicazione: 2008
Rivista: 
INVERSE PROBLEMS AND IMAGING  
Abstract: We consider the regularization of the inverse conductivity problem with discontinuous conductivities, like for example the so-called inclusion problem. We theoretically validate the use of some of the most widely adopted regularization operators, like for instance total variation and the Mumford-Shah functional, by proving a convergence result for the solutions to the regularized minimum problems.
Handle: http://hdl.handle.net/11368/1841744
Digital Object Identifier (DOI): http://dx.doi.org/10.3934/ipi.2008.2.397
Appare nelle tipologie:1.1 Articolo in Rivista

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