Abstract

The main goal of this work was to compare the selected machine learning methods with the classic deterministic method in the industrial field of electrical impedance tomography. The research focused on the development and comparison of algorithms and models for the analysis and reconstruction of data using electrical tomography. The novelty was the use of original machine learning algorithms. Their characteristic feature is the use of many separately trained subsystems, each of which generates a single pixel of the output image. Artificial Neural Network (ANN), LARS and Elastic net methods were used to solve the inverse problem. These algorithms have been modified by a corresponding increase in equations (multiply) for electrical impedance tomography using the finite element method grid. The Gauss-Newton method was used as a reference to machine learning methods. The algorithms were trained using learning data obtained through computer simulation based on real models. The results of the experiments showed that in the considered cases the best quality of reconstructions was achieved by ANN. At the same time, ANN was the slowest in terms of both the training process and the speed of image generation. Other machine learning methods were comparable with the deterministic Gauss-Newton method and with each other.

Highlights

  • This article presents the results of research on the use of tomographic sensors for the analysis of industrial processes with the use of dedicated measuring devices and image reconstruction algorithms.Electrical impedance tomography (EIT) is a non-invasive, high-potential application imaging method

  • We present the tomographic methods, process tomography, measuring devices, laboratory systems, mathematical algorithms and measurement models used in image reconstruction laboratory systems, mathematical algorithms and measurement models used in image reconstruction based on synthetic data and real measurements

  • Laboratory equipment, tomography devices at Research & Development Centre Netrix SA, the Eidors toolbox [48], Microsoft tools, Matlab, Python designed at Research & Development Centre Netrix SA, the Eidors toolbox [48], Microsoft tools, and R language were used during the research

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Summary

Introduction

This article presents the results of research on the use of tomographic sensors for the analysis of industrial processes with the use of dedicated measuring devices and image reconstruction algorithms. Electrical impedance tomography (EIT) is a non-invasive, high-potential application imaging method. It is suitable for continuous real-time visualization of the dynamic distribution of electrical conductivity inside the tested object [1]. Despite its relatively low spatial resolution, the EIT is a widely accepted tomographic imaging technique that is widely used in many areas, such as monitoring industrial processes [3,4,5], geophysical research [6,7,8] and biomedical diagnosis [2,9,10]. One of the most commonly used methods is a one-step approach to Gauss-Newton reconstruction (GN) [12], which allows the use of sophisticated, regulated models to describe the problem of the inverse EIT through a heuristic

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