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: | ||
Data di pubblicazione: | 2008 | |
Rivista: | ||
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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