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Assigning accurate conductivity values in human head models is an essential factor for performing precise electroencephalographic (EEG) source localization and targeting of transcranial electrical stimulation (TES). Unfortunately, the…

Neurons and Cognition · Quantitative Biology 2022-03-11 Hamza Altakroury , Laurent Koessler , Radu Ranta , Janis Hofmanis , Sophie Colnat Coulbois , Louis Maillard , Valérie Louis Dorr

Electrical impedance tomography (EIT) plays a crucial role in non-invasive imaging, with both medical and industrial applications. In this paper, we present three data-driven reconstruction methods for EIT imaging. These three approaches…

Image and Video Processing · Electrical Eng. & Systems 2024-07-03 Alexander Denker , Zeljko Kereta , Imraj Singh , Tom Freudenberg , Tobias Kluth , Peter Maass , Simon Arridge

We study the local recovery of an unknown piecewise constant anisotropic conductivity in EIT (electric impedance tomography) on certain bounded Lipschitz domains $\Omega$ in $\mathbb{R}^2$ with corners. The measurement is conducted on a…

Analysis of PDEs · Mathematics 2023-02-01 Maarten V. de Hoop , Takashi Furuya , Ching-Lung Lin , Gen Nakamura , Manmohan Vashisth

Electrochemical Impedance Spectroscopy (EIS) is a non-invasive technique widely used for understanding charge transfer and charge transport processes in electrochemical systems and devices. Standard approaches for the interpretation of EIS…

Parallel-beam X-ray computed tomography (CT) and electrical impedance tomography (EIT) are two imaging modalities which stem from completely different underlying physics, and for decades have been thought to have little in common either…

Two reconstruction methods of Electrical Impedance Tomography (EIT) are numerically compared for nonsmooth conductivities in the plane based on the use of complex geometrical optics (CGO) solutions to D-bar equations involving the global…

Analysis of PDEs · Mathematics 2015-06-17 Kari Astala , Lassi Päivärinta , Juan Manuel Reyes , Samuli Siltanen

Electrical contact resistance or capacitance as measured between a lubricated contact has been used in tribometers, partially reflecting the lubrication condition. In contrast, the electrical impedance provides rich information of magnitude…

Signal Processing · Electrical Eng. & Systems 2023-07-10 Min Yu , Jie Zhang , Arndt Joedicke , Tom Reddyhoff

Incorrectly sized balloon catheters can lead to increased post-surgical complications, yet even with preoperative imaging, correct selection remains a challenge. With limited feedback during surgery, it is difficult to verify correct…

Consider an inverse problem of the simultaneous recovery of boundary impedance and internal conductivity in the electrical impedance tomography (EIT) model using local internal measurement data, which is governed by a boundary value problem…

Analysis of PDEs · Mathematics 2025-09-22 Jinchao Pan , Jijun Liu

In this article, we consider the problem of finding the support of an inhomogenous possibly anisotropic inclusion in a background of constant electric conductivity from the electrical impedance tomography data at the boundary of a bounded…

Functional Analysis · Mathematics 2007-05-23 Erkki J. Somersalo

The ill-posedness of Calder\'on's inverse conductivity problem, responsible for the poor spatial resolution of Electrical Impedance Tomography (EIT), has been an impetus for the development of hybrid imaging techniques, which compensate for…

Analysis of PDEs · Mathematics 2021-04-28 Allan Greenleaf , Matti Lassas , Matteo Santacesaria , Samuli Siltanen , Gunther Uhlmann

Enabling dexterous manipulation and safe human-robot interaction, soft robots are widely used in numerous surgical applications. One of the complications associated with using soft robots in surgical applications is reconstructing their…

Robotics · Computer Science 2023-04-26 Amirhosein Alian , George Mylonas , James Avery

Introduction: Electrical impedance spectroscopy (EIS) has recently developed as a novel diagnostic device for screening and evaluating cervical dysplasia, prostate cancer, breast cancer and basal cell carcinoma. The current study aimed to…

Quantitative Methods · Quantitative Biology 2024-08-23 Vaibhav Gupta , Poonam Goel , Usha Agrawal , Neena Chaudhary , Garima Jain , Deepak Gupta

We consider the problem of determining a small elliptical conductivity anomaly in a unit disc from boundary measurements. The conductivity of the anomaly is assumed to be a small perturbation from the constant background. A measurement of…

Numerical Analysis · Mathematics 2024-03-19 Gaoming Chen , Fadil Santosa , Aseel Titi

Electrical capacitance tomography (ECT) is a nonoptical imaging technique in which a map of the interior permittivity of a volume is estimated by making capacitance measurements at its boundary and solving an inverse problem. While previous…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Manar Abdelatty , Joseph Incandela , Kangping Hu , Joseph W. Larkin , Sherief Reda , Jacob K. Rosenstein

Electrical impedance tomography (EIT) is a noninvasive imaging modality that allows a continuous assessment of changes in regional bioimpedance of different organs. One of its most common biomedical applications is monitoring regional…

Image and Video Processing · Electrical Eng. & Systems 2020-10-20 Nils Strodthoff , Claas Strodthoff , Tobias Becher , Norbert Weiler , Inéz Frerichs

In electrical impedance tomography, we aim to solve the conductivity within a target body through electrical measurements made on the surface of the target. This inverse conductivity problem is severely ill-posed, especially in real…

Optimization and Control · Mathematics 2022-05-24 Jyrki Jauhiainen , Aku Seppänen , Tuomo Valkonen

This paper considers the problem of noise-robust neural operator approximation for the solution map of Calder\'on's inverse conductivity problem. In this continuum model of electrical impedance tomography (EIT), the boundary measurements…

Numerical Analysis · Mathematics 2025-11-26 Maarten V. de Hoop , Nikola B. Kovachki , Matti Lassas , Nicholas H. Nelsen

In computational PDE-based inverse problems, a finite amount of data is collected to infer unknown parameters in the PDE. In order to obtain accurate inferences, the collected data must be informative about the unknown parameters. How to…

Numerical Analysis · Mathematics 2021-05-04 Tan Bui-Thanh , Qin Li , Leonardo Zepeda-Núñez

Objective: To establish the performance of several drive and measurement patterns in EIT imaging of neural activity in peripheral nerve, which involves large impedance change in the nerve's anisotropic length axis. Approach: Eight drive and…

Neurons and Cognition · Quantitative Biology 2019-01-09 J. Hope , F. Vanholsbeeck , A. McDaid
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