Name
Title | ||
|---|---|---|
A Forward-Backward Strategy for Handling Non-linearity in Electrical Impedance Tomography |
Abstract | ||
|---|---|---|
Electrical Impedance Tomography (EIT) is known to be a nonlinear and ill-posed inverse problem. Conventional penalty-based regularization methods rely on the linearized model of the nonlinear forward operator. However, the linearized problem is only a rough approximation of the real situation, where the measurements can further contain unavoidable noise. The proposed reconstruction variational framework allows to turn the complete nonlinear ill-posed EIT problem into a sequence of regularized linear least squares optimization problems via a forward-backward splitting strategy, thus converting the ill-posed problem to a well-posed one. The framework can easily integrate suitable penalties to enforce smooth or piecewise-constant conductivity reconstructions depending on prior information. Numerical experiments validate the effectiveness and feasibility of the proposed approach. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1007/978-3-030-86970-0_44 | COMPUTATIONAL SCIENCE AND ITS APPLICATIONS, ICCSA 2021, PT III |
Keywords | DocType | Volume |
EIT inverse problem, Forward-backward algorithm, Nonlinear optimization, Regularization | Conference | 12951 |
ISSN | Citations | PageRank |
0302-9743 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Martin Huska | 1 | 1 | 1.36 |
| Damiana Lazzaro | 2 | 101 | 10.27 |
| Serena Morigi | 3 | 142 | 20.57 |