Applied geophysics techniques for non destructive soil surveying include low frequency electromagnetic (EM) induction data processing. A nonlinear model is often required to correctly simulate the physical system in the presence of strong conductors. We will present a regularized Gauss-Newton algorithm aimed at processing the full complex signal detected by last generation devices, and incorporating a nonlinear regularizing term based on total variation, which may improve the sharpness of the reconstruction for 2D /3D domains.

This presentation is part of Minisymposium “MS34 - Numerical Linear Algebra techniques for Image Restoration and Reconstruction (2 parts)”
organized by: Caterina Fenu (University of Cagliari) , Marco Donatelli (University of Insubria) .

Authors:

Giuseppe Rodriguez (University of Cagliari)

Gian Piero Deidda (University of Cagliari)

Patricia Diaz De Alba (University of Cagliari)

Caterina Fenu (University of Cagliari)

Giulio Vignoli (University of Cagliari)

Keywords:

inverse problems, nonlinear optimization, numerical linear algebra