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A regularized solution for the inverse conductivity problem using mollifiers

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: P. Maass, M. K. Pidcock and C. Sebu

Editorial: Inverse Problems in Science and Engineering , 18, p.145 -161, 2010.

Rezumat:

In this article, we present a reconstruction method for the inverse conductivity
problem suitable for smooth conductivity distributions. The inverse problem is
reformulated in terms of a pair of coupled integral equations, one of which is of
the first kind which we regularize using mollifier methods. An interesting feature
of this method is that the kernel of this integral equation is not given, but can be
modified for the choice of mollifier. We are able to obtain conductivity
reconstructions rapidly and without relying on accurate a priori information.

Cuvinte cheie: inverse conductivity problem, electrical impedance tomography, integral equation methods, mollifiers, nonlinear inverse problems, ill-posed problems