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We present an algorithm for focusing inversion of electrical resistivity tomography (ERT) data. ERT is a typical example of ill-posed problem. Regularization is the most common way to face this kind of problems; it basically consists in…

地球物理 · 物理学 2007-05-23 G. Pagliara , G. Vignoli

Electrical Resistivity Tomography (ERT) is increasingly used to study subsurface hydrological processes. It shows promising potential for estimating soil water content, a key but challenging property to quantify. However, converting the…

Time-lapse electrical resistivity tomography (ERT) is a popular geophysical method to estimate three-dimensional (3D) permeability fields from electrical potential difference measurements. Traditional inversion and data assimilation methods…

地球物理 · 物理学 2022-08-10 M. K. Mudunuru , E. L. D. Cromwell , H. Wang , X. Chen

The reliability of surface-based electrical resistivity tomography (ERT) for quantifying resistivities for shallow subsurface water processes is analysed. A method comprising numerical simulations of water movement in soil and…

地球物理 · 物理学 2009-05-14 Joerg Rings , Christian Hauck

Electrical impedance tomography (EIT) provides functional images of an electrical conductivity distribution inside the human body. Since the 1980s, many potential clinical applications have arisen using inexpensive portable EIT devices. EIT…

偏微分方程分析 · 数学 2017-03-07 Kyounghun Lee , Eung Je Woo , Jin Keun Seo

Electrical Resistivity Tomography (ERT) has become widely used for engineering and environmental applications in the last couple of decades due to (1) the simplification and automating of resistivity meters and (2) the new generation of…

地球物理 · 物理学 2024-04-18 Deparis Jacques , Gance Julien , Orlando Leite

Electrical impedance tomography (EIT) is a noninvasive medical imaging modality utilizing the current-density/voltage data measured on the surface of the subject. Calder\'on's method is a relatively recent EIT imaging algorithm that is…

数值分析 · 数学 2023-11-01 Siyu Cen , Bangti Jin , Kwancheol Shin , Zhi Zhou

This paper introduces a method for approximately eliminating the effect that conductivity changes outside the region of interest have in electrical impedance tomography, allowing to form a local reconstruction in the region of interest…

数值分析 · 数学 2026-01-21 A. Jääskeläinen , A. Vavilov , J. Toivanen , A. Hänninen , V. Kolehmainen , N. Hyvönen

Electrical impedance tomography (EIT) is a noninvasive imaging method whereby electrical measurements on the boundary of a conductive medium (the data) are taken according to a prescribed protocol set and inverted to map the internal…

Electrical Resistivity Tomography (ERT) has been extensively used for imaging the subsurface resistivity distribution and structure. Over the years, many algorithms have been developed in order to solve the subsurface resistivity…

地球物理 · 物理学 2018-05-11 Itay Naeh , Yitzhak Peleg , Alex Furman , Shie Mannor

Electrical Impedance Tomography (EIT) is a powerful imaging technique with diverse applications, e.g., medical diagnosis, industrial monitoring, and environmental studies. The EIT inverse problem is about inferring the internal conductivity…

机器学习 · 计算机科学 2023-10-31 Derick Nganyu Tanyu , Jianfeng Ning , Andreas Hauptmann , Bangti Jin , Peter Maass

Electrical Impedance Tomography (EIT) is a powerful imaging modality widely used in medical diagnostics, industrial monitoring, and environmental studies. The EIT inverse problem is about inferring the internal conductivity distribution of…

图像与视频处理 · 电气工程与系统科学 2025-08-11 Alexander Denker , Fabio Margotti , Jianfeng Ning , Kim Knudsen , Derick Nganyu Tanyu , Bangti Jin , Andreas Hauptmann , Peter Maass

The first partial boundary data complex geometrical optics based methods for electrical impedance tomography in three dimensions are developed, and tested, on simulated and experimental data. The methods provide good localization of targets…

医学物理 · 物理学 2024-12-17 Sarah J. Hamilton , Peter Muller , Ville Kolehmainen , Jussi Toivanen

We consider the problem of estimating parameters in large-scale weakly nonlinear inverse problems for which the underlying governing equations is a linear, time-dependent, parabolic partial differential equation. A major challenge in…

数值分析 · 数学 2016-05-04 Tania Bakhos , Arvind K. Saibaba , Peter K. Kitanidis

Iterative model-based image reconstruction in photoacoustic tomography (PAT) enables principled incorporation of detector physics, object-related priors, and complex acquisition strategies. However, for three-dimensional (3D) imaging…

光学 · 物理学 2026-03-31 Ege Küçükkomürcü , Simon Labouesse , Marc Allain , Thomas Chaigne

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

This work introduces a method for preprocessing measurements of electrical impedance tomography to considerably reduce the effect uncertainties in the electrode contacts have on the reconstruction quality, without a need to explicitly…

The Electrical Resistance Tomography (ERT) technique is applied to the measurement of sheet conductance maps of both uniform and patterned conductive thin films. Images of the sheet conductance spatial distribution, and local conductivity…

仪器与探测器 · 物理学 2016-06-21 Alessandro Cultrera , Luca Callegaro

A new iterative image reconstruction algorithm for electrical capacitance tomography (ECT) is proposed that is based on iterative soft thresholding of a total variation penalty and adaptive reweighted compressive sensing. This algorithm…

计算机视觉与模式识别 · 计算机科学 2016-11-22 Kezhi Li , Daniel Holland

We present a novel parallel implementation for large-scale three-dimensional electromagnetic inversion based on a Gauss-Newton framework combined with a rational near-best approximation of the matrix exponential for transient simulations.…

数值分析 · 数学 2026-05-20 Ralph-Uwe Börner , Stefan Güttel , Thomas Günther
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