EIT reconstruction algorithms: pitfalls, challenges and recent developments

被引:369
作者
Lionheart, WRB [1 ]
机构
[1] Univ Manchester, Dept Math, Manchester M60 1QD, Lancs, England
关键词
electrical impedance tomography; EIT; reconstruction algorithms; inverse conductivity problem; inverse crimes;
D O I
10.1088/0967-3334/25/1/021
中图分类号
Q6 [生物物理学];
学科分类号
071011 ;
摘要
We review developments, issues and challenges in electrical impedance tomography (EIT) for the 4th Conference on Biomedical Applications of Electrical Impedance Tomography, held at Manchester in 2003. We focus on the necessity for three-dimensional data collection and reconstruction, efficient solution of the forward problem, and both present and future reconstruction algorithms. We also suggest common pitfalls or 'inverse crimes' to avoid.
引用
收藏
页码:125 / 142
页数:18
相关论文
共 81 条
[31]  
Goble JC., 1990, THESIS RENSSELAER PO
[32]  
Golub G.H., 2013, Matrix Computations, V4th
[33]   Local uniqueness for the Dirichlet-to-Neumann map via the two-plane transform [J].
Greenleaf, A ;
Uhlmann, G .
DUKE MATHEMATICAL JOURNAL, 2001, 108 (03) :599-617
[34]  
Hansen P. C., 1998, RANK DEFICIENT DISCR
[35]   Simultaneous reconstruction of electrode contact impedances and internal electrical properties: II. Laboratory experiments [J].
Heikkinen, LM ;
Vilhunen, T ;
West, RM ;
Vauhkonen, M .
MEASUREMENT SCIENCE AND TECHNOLOGY, 2002, 13 (12) :1855-1861
[36]  
HSIAO GC, 2000, 20005 U DEL DEP MATH
[37]   Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography [J].
Kaipio, JP ;
Kolehmainen, V ;
Somersalo, E ;
Vauhkonen, M .
INVERSE PROBLEMS, 2000, 16 (05) :1487-1522
[38]   A COMPUTATIONAL QUASI-REVERSIBILITY METHOD FOR CAUCHY-PROBLEMS FOR LAPLACE EQUATION [J].
KLIBANOV, MV ;
SANTOSA, F .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1991, 51 (06) :1653-1675
[39]   Recovery of region boundaries of piecewise constant coefficients of an elliptic PDE from boundary data [J].
Kolehmainen, V ;
Arridge, SR ;
Lionheart, WRB ;
Vauhkonen, M ;
Kaipio, JP .
INVERSE PROBLEMS, 1999, 15 (05) :1375-1391
[40]   Recovery of piecewise constant coefficients in optical diffusion tomography [J].
Kolehmainen, V ;
Vauhkonen, M ;
Kaipio, JP ;
Arridge, SR .
OPTICS EXPRESS, 2000, 7 (13) :468-480