Learning nonlinear electrical impedance tomography

DOI10.1007/s10915-021-01716-4zbMath1487.65132OpenAlexW4200071351MaRDI QIDQ2063189

Andrea Samoré, Francesco Colibazzi, Serena Morigi, Damiana Lazzaro

Publication date: 10 January 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-021-01716-4

zbMATH Keywords

nonlinear inverse problemselectrical impedance tomographyanisotropic total variationsparsity-inducing regularizationunrolled optimization

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Numerical optimization and variational techniques (65K10) Smoothness and regularity of solutions to PDEs (35B65) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Communication theory (94A05) Variational methods applied to problems in optics and electromagnetic theory (78M30) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (2)

Deep-plug-and-play proximal Gauss-Newton method with applications to nonlinear, ill-posed inverse problems ⋮ Enhancing electrical impedance tomography reconstruction using learned half-quadratic splitting networks with Anderson acceleration

Uses Software

• pyEIT

Cites Work

• A new median formula with applications to PDE based denoising
• Spatially-adaptive variational reconstructions for linear inverse electrical impedance tomography
• A Backprojection Algorithm for Electrical Impedance Imaging
• A direct D-bar reconstruction algorithm for recovering a complex conductivity in 2D
• A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration
• Linear and Nonlinear Inverse Problems with Practical Applications

This page was built for publication: Learning nonlinear electrical impedance tomography