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Electrical impedance tomography (EIT) uses current-voltage measurements on the surface of an imaging subject to detect conductivity changes or anomalies. EIT is a promising new technique with great potential in medical imaging and…

数值分析 · 数学 2018-11-19 Bastian Harrach , Marcel Ullrich

Electrical impedance tomography aims at reconstructing the conductivity inside a physical body from boundary measurements of current and voltage at a finite number of contact electrodes. In many practical applications, the shape of the…

数值分析 · 数学 2017-03-08 Nuutti Hyvönen , Helle Majander , Stratos Staboulis

In this paper, we consider an inverse conductivity problem on a bounded domain $\Omega\subset\mathbb{R}^n$, $n\geq2$, also known as Electrical Impedance Tomography (EIT), for the case where unknown impenetrable obstacles are embedded into…

偏微分方程分析 · 数学 2021-04-29 Jiaqing Yang

Electrical Impedance Tomography (EIT) is a non-invasive imaging technique that reconstructs conductivity distributions within a body from boundary measurements. However, EIT reconstruction is hindered by its ill-posed nonlinear inverse…

图像与视频处理 · 电气工程与系统科学 2024-09-11 Bowen Tong , Junwu Wang , Dong Liu

We present a novel approach for the inverse problem in electrical impedance tomography based on regularized quadratic regression. Our contribution introduces a new formulation for the forward model in the form of a nonlinear integral…

地球物理 · 物理学 2012-05-29 Nick Polydorides , Alireza Aghasi , Eric L. Miller

Electrical impedance tomography (EIT) is a non-invasive imaging technique, capable of reconstructing images of the electrical conductivity of tissues and materials. It is popular in diverse application areas, from medical imaging to…

计算机视觉与模式识别 · 计算机科学 2024-12-24 Shuaikai Shi , Ruiyuan Kang , Panos Liatsis

Electrical impedance tomography (EIT) is a non-invasive imaging method in which an unknown physical body is probed with electric currents applied on the boundary, and the internal conductivity distribution is recovered from the measured…

数值分析 · 数学 2014-02-07 Sarah Jane Hamilton , Samuli Siltanen

This paper presents a multi-resolution reconstruction method for Electrical Impedance Tomography (EIT), referred to as MR-EIT, which is capable of operating in both supervised and unsupervised learning modes. MR-EIT integrates an ordered…

计算机视觉与模式识别 · 计算机科学 2025-03-04 Fangming Shi , Jinzhen Liu , Xiangqian Meng , Yapeng Zhou , Hui Xiong

The regularized D-bar method is a popular method for solving Electrical Impedance Tomography (EIT) problems due to its efficiency and simplicity. It utilizes the low-pass truncated scattering data in the non-linear Fourier domain to solve…

数值分析 · 数学 2025-02-10 Xiang Cao , Qiaoqiao Ding , Xiaoqun Zhang

A direct three dimensional EIT reconstruction algorithm based on complex geometrical optics solutions and a nonlinear scattering transform is presented and implemented for spherically symmetric conductivity distributions. The scattering…

偏微分方程分析 · 数学 2010-03-22 Jutta Bikowski , Kim Knudsen , Jennifer Mueller

A novel and highly efficient computational framework for reconstructing binary-type images suitable for models of various complexity seen in diverse biomedical applications is developed and validated. Efficiency in computational speed and…

最优化与控制 · 数学 2024-02-09 Paul R. Arbic , Vladislav Bukshtynov

We consider Inverse Electrical Impedance Tomography (EIT) problem on recovering electrical conductivity and potential in the body based on the measurement of the boundary voltages on the $m$ electrodes for a given electrode current. The…

最优化与控制 · 数学 2024-12-17 Ugur G. Abdulla , Saleheh Seif

To study the fundamental physics of complex multiphase flow systems using advanced measurement techniques, especially the electrical capacitance tomography (ECT) approach, this article carries out an initial literature review of the ECT…

计算机视觉与模式识别 · 计算机科学 2015-10-16 Kezhi Li

Electrical Impedance Tomography (EIT) is a powerful tool for non-destructive evaluation, state estimation, and process tomography - among numerous other use cases. For these applications, and in order to reliably reconstruct images of a…

信号处理 · 电气工程与系统科学 2020-01-31 Danny Smyl , Dong Liu

Objective: Time-difference electrical impedance tomography (EIT) is gaining widespread use for bedside lung monitoring in intensive care patients suffering from lung-related diseases. It involves collecting voltage measurements from…

Electrical Impedance Tomography (EIT) is a non-invasive medical imaging method that reconstructs electrical conductivity mediums from boundary voltage-current measurements, but its severe ill-posedness renders direct operator learning with…

数值分析 · 数学 2026-01-14 Amit Bhat , Ke Chen , Chunmei Wang

This paper presents a static electrical impedance tomography (EIT) technique that evaluates abdominal obesity by estimating the thickness of subcutaneous fat. EIT has a fundamental drawback for absolute admittivity imaging because of its…

数值分析 · 数学 2016-07-21 Habib Ammari , Hyeuknam Kwon , Seungri Lee , Jin Keun Seo

Electrical Impedance Tomography can be cost-effective, portable, non-invasive imaging technique. It has preclinical and a few of them already proven industrial applications. This technique can only recover images of low spatial and contrast…

仪器与探测器 · 物理学 2023-04-17 Vaishali Sharma , Mayank Goswami

Online optimisation studies the convergence of optimisation methods as the data embedded in the problem changes. Based on this idea, we propose a primal dual online method for nonlinear time-discrete inverse problems. We analyse the method…

最优化与控制 · 数学 2025-03-18 Neil Dizon , Jyrki Jauhiainen , Tuomo Valkonen

Electron tomography is becoming an increasingly important tool in materials science for studying the three-dimensional morphologies and chemical compositions of nanostructures. The image quality obtained by many current algorithms is…