Shape sensitivities for an inverse problem in magnetic induction tomography based on the eddy current model

被引：34
|
作者：
Hintermueller, Michael [1 ]
Laurain, Antoine [2 ]
Yousept, Irwin [3 ]
机构：
[1] Humboldt Univ, Dept Math, D-10099 Berlin, Germany
[2] Tech Univ Berlin, D-10623 Berlin, Germany
[3] Univ Duisburg Essen, Fak Math, D-45127 Essen, Germany
来源：
INVERSE PROBLEMS | 2015年 / 31卷 / 06期
基金：
奥地利科学基金会;
关键词：
magnetic induction tomography; shape optimization; shape derivative;
D O I：
10.1088/0266-5611/31/6/065006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper the shape derivative of an objective depending on the solution of an eddy current approximation of Maxwell's equations is obtained. Using a Lagrangian approach in the spirit of Delfour and Zolesio, the computation of the shape derivative of the solution of the state equation is bypassed. This theoretical result is applied to magnetic impedance tomography, which is an imaging modality aiming at the contactless mapping (identification) of the unknown electrical conductivities inside an object given measurements recorded by receiver coils.
引用
收藏
页数：25
相关论文
共 50 条
  • [1] Numerical calculation of the eddy current problem in magnetic induction tomography for brain edema
    He, Wei
    Luo, Hai Jan
    Song, Xiao Dong
    Xu, Zheng
    [J]. INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS, 2010, 33 (1-2) : 743 - 750
  • [2] Numerical Calculation of the Eddy Current Problem in Magnetic Induction Tomography for Brain Edema
    He, Wei
    Song, Xiaodong
    Xu, Meng
    [J]. APPLIED ELECTROMAGNETICS AND MECHANICS (II), 2009, 13 : 267 - 268
  • [3] Eddy Current Simulation for Magnetic Induction Tomography Forward Problem in Biological Tissue
    Xu, Zheng
    He, Wei
    He, Chuanhong
    Zhang, Zanlong
    Luo, Haijun
    [J]. 2008 WORLD AUTOMATION CONGRESS PROCEEDINGS, VOLS 1-3, 2008, : 1839 - 1843
  • [4] Inverse problem of magnetoacoustic tomography with magnetic induction
    Wang, Hao
    Liu, Guo Qiang
    Jiang, Lingtong
    Li, Shiqiang
    [J]. 2007 JOINT MEETING OF THE 6TH INTERNATIONAL SYMPOSIUM ON NONINVASIVE FUNCTIONAL SOURCE IMAGING OF THE BRAIN AND HEART AND THE INTERNATIONAL CONFERENCE ON FUNCTIONAL BIOMEDICAL IMAGING, 2007, : 150 - 152
  • [5] Solution of the inverse problem of magnetic induction tomography based on Helmholtz coil
    Luo, Hai-Jun
    Wen, Kai-Xu
    Yong, Liao
    Pan, Haitao
    Jing, Xin
    [J]. JOURNAL OF ENGINEERING-JOE, 2018, (16): : 1427 - 1432
  • [6] Electromagnetic Inverse Problem of Magnetoacoustic Tomography with Magnetic Induction
    Wang, Hao
    Liu, Guoqiang
    Jiang, Lingtong
    Li, Shiqiang
    MengMeng
    Zhang, Yang
    [J]. 2008 WORLD AUTOMATION CONGRESS PROCEEDINGS, VOLS 1-3, 2008, : 1744 - 1747
  • [7] Solution of the inverse problem of magnetic induction tomography (MIT)
    Merwa, R
    Hollaus, K
    Brunner, P
    Scharfetter, H
    [J]. PHYSIOLOGICAL MEASUREMENT, 2005, 26 (02) : S241 - S250
  • [8] Numerical simulation of the eddy current problem in magnetic induction tomography for biomedical applications by edge elements
    Hollaus, K
    Magele, C
    Merwa, R
    Scharfetter, H
    [J]. IEEE TRANSACTIONS ON MAGNETICS, 2004, 40 (02) : 623 - 626
  • [9] The inverse problem for eddy current control with a rotating magnetic field
    Grimberg, R
    Savin, A
    Chifan, S
    Radu, E
    [J]. NON-LINEAR ELECTROMAGNETIC SYSTEMS - ISEM '99, 2000, : 451 - 454
  • [10] Numerical simulation of eddy current problems in magnetic induction tomography
    Gratkowski, Stanislaw
    Palka, Ryszard
    Baniukiewicz, Piotr
    Komorowski, Mieczyslaw
    Stawicki, Krzysztof
    [J]. PRZEGLAD ELEKTROTECHNICZNY, 2007, 83 (11): : 219 - 221
12345