On the regularization of the inverse conductivity problem with discontinuous conductivities
Luca Rondi - Dipartimento di Matematica e Informatica, Università degli Studi di Trieste, via Valerio, 12/1, 34127 Trieste, Italy (email)
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.
Keywords: Electrical impedance tomography, inclusion, regularization, $BV$ functions, $\Gamma$-convergence.
Received: May 2008; Revised: June 2008; Published: July 2008.
2011 Impact Factor1.074