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相关论文: Computing Volume Bounds of Inclusions by EIT Measu…

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The size estimation problem in electrical impedance tomography is considered when the conductivity is a complex number and the body is two-dimensional. Upper and lower bounds on the volume fraction of the unknown inclusion embedded in the…

偏微分方程分析 · 数学 2013-10-10 Hyeonbae Kang , Kyoungsun Kim , Hyundae Lee , Xiaofei Li , Graeme W. Milton

In this paper we estimate the size of a measurable inclusion in terms of power measurements for a single applied boundary current. This problem arises in medical imaging for the screening of organs. For this kind of problem one has to deal…

偏微分方程分析 · 数学 2011-12-13 Elena Beretta , Elisa Francini , Sergio Vessella

Unknown electric conductivities of human tissues is a common issue in medical engineering. Electrical impedance tomography (EIT) is an imaging modality that can be used to determine these conductivities in vivo from boundary measurements.…

医学物理 · 物理学 2020-02-03 Ville Rimpilainen , Theodoros Samaras , Alexandra Koulouri

We derive bounds on the volume of an inclusion in a body in two or three dimensions when the conductivities of the inclusion and the surrounding body are complex and assumed to be known. The bounds are derived in terms of average values of…

偏微分方程分析 · 数学 2015-06-09 Andrew E. Thaler , Graeme W. Milton

We consider the problem in Electrical Impedance Tomography (EIT) of identifying one or multiple inclusions in a background-conducting body $\Omega\subset\mathbb{R}^2$, from the knowledge of a finite number of electrostatic measurements…

数值分析 · 数学 2025-02-07 Romina Gaburro , Patrick Healy , Shraddha Naidu , Clifford Nolan

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

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 (EIT) is highly affected by modeling errors regarding electrode positions and the shape of the imaging domain. In this work, we propose a new inclusion detection technique that is completely independent of…

偏微分方程分析 · 数学 2018-10-11 Bastian Harrach , Eunjung Lee , Marcel Ullrich

Electrical impedance tomography is an imaging modality for extracting information on the interior structure of a physical body from boundary measurements of current and voltage. This work studies a new robust way of modeling the contact…

数值分析 · 数学 2022-07-06 J. Dardé , N. Hyvönen , T. Kuutela , T. Valkonen

The objective of electrical impedance tomography (EIT) is to reconstruct the internal conductivity of a physical body based on current and voltage measurements at the boundary of the body. In many medical applications the exact shape of the…

最优化与控制 · 数学 2021-10-25 J. P. Agnelli , V. Kolehmainen , M. Lassas , P. Ola , S. Siltanen

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 method with diverse applications, including medical imaging and non-destructive testing. The inverse problem of reconstructing internal electrical conductivity from boundary…

图像与视频处理 · 电气工程与系统科学 2025-07-08 Sara Sippola , Siiri Rautio , Andreas Hauptmann , Takanori Ide , Samuli Siltanen

In this paper, we present a discussion on the algorithms design of Electrical Impedance Tomography (EIT) for biomedical applications. Based on the Maxwell differential equations and the derived the finite element(FE) linear equations, we…

信号处理 · 电气工程与系统科学 2019-01-23 Mingyong Zhou , Hongyu Zhu

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 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

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

Current-voltage measurements in electrical impedance tomography can be partially ordered with respect to definiteness of the associated self-adjoint Neumann-to-Dirichlet operators (NtD). With this ordering, a point-wise larger conductivity…

数值分析 · 数学 2018-12-14 Bastian Harrach , Marcel Ullrich

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

Using the translation method of Tartar, Murat, Lurie, and Cherkaev bounds are derived on the volume occupied by an inclusion in a three-dimensional conducting body. They assume electrical impedance tomography measurements have been made for…

偏微分方程分析 · 数学 2012-06-05 Hyeonbae Kang , Graeme W. Milton

We deal with the problem of estimating the volume of inclusions using a finite number of boundary measurements in electrical impedance tomography. We derive upper and lower bounds on the volume fractions of inclusions, or more generally two…

材料科学 · 物理学 2011-05-06 Hyeonbae Kang , Eunjoo Kim , Graeme W. Milton
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