On the regularization of the inverse conductivity problem with discontinuous conductivities
Articolo
Data di Pubblicazione:
2008
Citazione:
On the regularization of the inverse conductivity problem with discontinuous conductivities / L. Rondi. - In: INVERSE PROBLEMS AND IMAGING. - ISSN 1930-8337. - 2:3(2008), pp. 397-409.
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
electrical impedance tomography; inclusion; regularization; BV functions; Gamma-convergence
Elenco autori:
L. Rondi
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