Recent progress in electrical impedance tomography

被引:116
作者
Hanke, M [1 ]
Brühl, M [1 ]
机构
[1] Univ Mainz, Fachbereich Math & Informat, D-55099 Mainz, Germany
关键词
D O I
10.1088/0266-5611/19/6/055
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider the inverse problem of finding cavities within some body from electrostatic measurements on the boundary. By a cavity we understand any object with a different electrical conductivity from the background material of the body. We survey two algorithms for solving this inverse problem, namely the factorization method and a MUSIC-type algorithm. In particular, we present a number of numerical results to highlight the potential and the limitations of these two methods.
引用
收藏
页码:S65 / S90
页数:26
相关论文
共 35 条
[1]  
Alessandrini G., 1988, Appl. Anal., V27, P153, DOI [10.1080/00036818808839730, DOI 10.1080/00036818808839730]
[2]   THE INVERSE CONDUCTIVITY PROBLEM WITH ONE MEASUREMENT - UNIQUENESS FOR CONVEX POLYHEDRA [J].
BARCELO, B ;
FABES, E ;
SEO, JK .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 122 (01) :183-189
[3]   Electrical impedance tomography (vol 18, pg 99, 2002) [J].
Borcea, L .
INVERSE PROBLEMS, 2003, 19 (04) :997-998
[4]   Electrical impedance tomography [J].
Borcea, L .
INVERSE PROBLEMS, 2002, 18 (06) :R99-R136
[5]   Numerical implementation of two noniterative methods for locating inclusions by impedance tomography [J].
Brühl, M ;
Hanke, M .
INVERSE PROBLEMS, 2000, 16 (04) :1029-1042
[6]   A direct impedance tomography algorithm for locating small inhomogeneities [J].
Brühl, M ;
Hanke, M ;
Vogelius, MS .
NUMERISCHE MATHEMATIK, 2003, 93 (04) :635-654
[7]   Crack detection using electrostatic measurements [J].
Brühl, M ;
Hanke, M ;
Pidcock, M .
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2001, 35 (03) :595-605
[8]  
Brühl M, 2001, SIAM J MATH ANAL, V32, P1327
[9]  
BRUHL M, 2002, GEIT GRAPHICAL USER
[10]   Electrical impedance tomography [J].
Cheney, M ;
Isaacson, D ;
Newell, JC .
SIAM REVIEW, 1999, 41 (01) :85-101