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ISEM '97, IOS Press

A Second Order Approximation for Conductivity Imaging

G. Rubinacci, A. Tamburrino, S. Ventre, and F. Villone

Dipartimento di Ingegneria Industriale, Universitá degli Studi di Cassino via G. di Biasio 43, I-03043 Cassino, Italy

Conductivity imaging consists of reconstructing an unknown conductivity profile using a number of noisy measurements of the scattered field due to a known excitation field; The reconstructed conductivity profile is the one that guarantees the best fit between the theoretically predicted and the measured field by minimizing a suitable error functional. This reconstruction gives rise to a non-linear inverse and ill-posed problem, for which many algorithms have been proposed. Nevertheless, the basic aspects related to the comprehension of the intrinsic limits of the inverse problem (i.e. the information about the unknown conductivity available from the measurements) and of the solution procedures (i.e. the possibility to retrieve the available information content), affecting the characterization of the set of reconstructible profiles, are still unsolved.

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