12–14 juin 2023
Institut de Mathématiques
Fuseau horaire Europe/Paris

EIT reconstruction using virtual X-rays and machine learning

13 juin 2023, 10:15
30m
Salle K. Johnson (1R3-1er étage) (Institut de Mathématiques)

Salle K. Johnson (1R3-1er étage)

Institut de Mathématiques

Université Toulouse 3 Paul Sabatier 118 Route de Narbonne Institut de Mathématiques- Bâtiment 1R3 Toulouse

Orateur

Siiri Rautio

Description

We introduce a new reconstruction algorithm for EIT, which provides a connection between EIT and traditional X-ray tomography, based on the idea of "virtual X-rays". We divide the exponentially ill-posed and nonlinear inverse problem of EIT into separate steps. We start by mathematically calculating so-called virtual X-ray projection data from the DN map. Then, we perform explicit algebraic operations and one-dimensional integration, ending up with a blurry and nonlinearly transformed Radon sinogram. We use a neural network to learn the nonlinear deconvolution-like operation. Finally, we can compute a reconstruction of the conductivity using the inverse Radon transform. We demonstrate the method with simulated data examples.

This is a joint work with Samuli Siltanen, Matti Lassas, Rashmi Murthy, Fernando Silva de Moura, Juan Pablo Agnelli, and Melody Alsaker.

Documents de présentation

Aucun document.