EURO 2024 Copenhagen
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2518. Real data EIT reconstruction using virtual X-rays and deep learning

Invited abstract in session MC-34: Optimization and learning for data science and imaging (Part III), stream Advances in large scale nonlinear optimization.

Monday, 12:30-14:00
Room: 43 (building: 303A)

Authors (first author is the speaker)

1. Siiri Rautio
University of Helsinki

Abstract

In electrical impedance tomography (EIT), the aim is to recover the unknown conductivity of a target by injecting currents and measuring boundary voltages through electrodes. It is a nonlinear and severely ill-posed inverse problem. 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 measurement data. Then we perform explicit algebraic operations and one-dimensional integration, ending up with a blurry and nonlinearly transformed Radon sinogram. We use neural networks to remove the higher-order scattering terms and perform deconvolution. Finally, we can compute a reconstruction of the conductivity using the inverse Radon transform. We demonstrate the method with experimental data. This is a joint work with Melody Alsaker, Fernando Moura, Juan Pablo Agnelli, Rashmi Murthy, Matti Lassas, Jennifer Mueller, and Samuli Siltanen.

Keywords

Status: accepted


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