The Bayesian approximation error approach for electrical impedance tomography - Experimental results

Measurement Science and Technology

Volumn 19, Issue 1, 2008, Pages

  Nissinen, A ^a   Heikkinen, L M ^a   Kaipio, J P ^a  

^a UNIVERSITY OF EASTERN FINLAND   (Finland)

Author keywords

Electrical impedance tomography; Laboratory measurement; Modelling error; Statistical inversion theory

Indexed keywords

APPROXIMATION THEORY; ELECTRIC IMPEDANCE TOMOGRAPHY; INVERSE PROBLEMS; PROBLEM SOLVING;

ELECTRICAL IMPEDANCE TOMOGRAPHY; LABORATORY MEASUREMENT; STATISTICAL INVERSION THEORY;

ERROR ANALYSIS;

APPROXIMATION THEORY; ELECTRIC IMPEDANCE TOMOGRAPHY; ERROR ANALYSIS; INVERSE PROBLEMS; PROBLEM SOLVING;

EID: 38849120740     PISSN: 09570233     EISSN: 13616501     Source Type: Journal    
DOI: 10.1088/0957-0233/19/1/015501     Document Type: Article

References (26)

1. Arridge S R, Kaipio J P, Kolehmainen V, Schweiger M, Somersalo E, Tarvainen T and Vauhkonen M 2006 Approximation errors and model reduction with an application in optical diffusion tomography Inverse Problems 22 175-95
2. Barber D C and Brown B H 1984 Applied potential tomography J. Phys. E: Sci. Instrum. 17 723-33
3. Cheney M, Isaacson D and Newell J C 1999 Electrical impedance tomography SIAM Rev. 41 85-101
4. Cheng K-S, Isaacson D, Newell J C and Gisser D G 1989 Electrode models for electric current computed tomography IEEE Trans. Biomed. Eng. 36 918-24
5. Greenleaf A, Lassas M and Uhlmann G 2003 Anisotropic conductivities that cannot be detected by EIT Physiol. Meas. 24 413-9
6. Heikkinen L M, Vilhunen T, West R M and Vauhkonen M 2002 Simultaneous reconstruction of electrode contact impedances and internal electrical properties: II. Laboratory experiments Meas. Sci. Technol. 13 1855-61
7. Heikkinen L M, Kourunen J, Savolainen T, Vauhkonen P J, Kaipio J P and Vauhkonen M 2006 Real time three-dimensional electrical impedance tomography applied in multiphase flow imaging Meas. Sci. Technol. 17 2083-7
8. Heino J, Somersalo E and Kaipio J P 2005 Compensation for geometric mismodelling by anisotropies in optical tomography Opt. Express 13 296-308
9. Heino J and Somersalo E 2004 A modeling error approach for the estimation of optical absorption in the presence of anisotropies Phys. Med. Biol. 49 4785-98
10. Huttunen J M J and Kaipio J P 2007 Approximation errors in nonstationary inverse problems Inverse Problems Imaging 1 77-93
11. Huttunen J M J and Kaipio J P 2007 Approximation error analysis in nonlinear state estimation with an application to state-space identification Inverse Problems 23 2141-57
12. Kaipio J P and Somersalo E 2004 Statistical and Computational Inverse Problems (Applied Mathematical Sciences vol 160) (New York: Springer)
13. Kaipio J P, Kolehmainen V, Somersalo E and Vauhkonen M 2000 Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography Inverse Problems 16 1487-522
14. Kaipio J P and Somersalo E 2006 Statistical inverse problems: discretization, model reduction and inverse crimes J. Comput. Appl. Math. 198 493-504
15. Kolehmainen V, Vauhkonen M, Karjalainen P A and Kaipio J P 1997 Assessment of errors in static electrical impedance tomography with adjacent and trigonometric current patterns Physiol. Meas. 18 289-303
16. Kolehmainen V, Lassas M and Ola P 2005 The inverse conductivity problem with an imperfectly known boundary SIAM J. Appl. Math. 21 365-83
17. Lehikoinen A, Finsterle S, Voutilainen A, Kowalsky M B and Kaipio J P 2006 A Bayesian nonstationary inversion approach for imaging fluid flow Proc. 28th NZ Geothermal Workshop
18. Lehikoinen A, Finsterle S, Voutilainen A, Heikkinen L M, Vauhkonen M and Kaipio J P 2006 Approximation errors and truncation of computational domains with application to geophysical tomography Inverse Probl. Imaging 1 371-89
19. Lionheart W R B 2004 EIT reconstruction algorithms: pitfalls, challenges and recent developments Physiol. Meas. 25 125-42
20. Somersalo E, Cheney M and Isaacson D 1992 Existence and uniqueness for electrode models for electric current computed tomography SIAM J. Appl. Math. 52 1023-40
21. Tidswell A T, Gibson A, Bayford R H and Holder D S 2001 Validation of a 3D reconstruction algorithm for EIT of human brain function in a realistic head-shaped tank Physiol. Meas. 22 177-85
22. Vauhkonen P J, Vauhkonen M, Savolainen T and Kaipio J P 1999 Three-dimensional electrical impedance tomography based on the complete electrode model IEEE Trans. Biomed. Eng. 46 1150-60
23. Vauhkonen P J, Vauhkonen M and Kaipio J P 2000 Errors due to the truncation of the computational domain in static three-dimensional electrical impedance tomography Physiol. Meas. 21 125-35
24. Vilhunen T, Kaipio J P, Vauhkonen P J, Savolainen T and Vauhkonen M 2002 Simultaneous reconstruction of electrode contact impedances and internal electrical properties: I. Theory Meas. Sci. Technol. 13 1848-54
25. Vrugt J A, Robinson B A and Vesselinov V V 2005 Improved inverse modeling for flow and transport in subsurface media: combined parameter and state estimation Geophys. Res. Lett. 32 L18408 doi:10.1029/2005GL023940
26. Vrugt J A, Diks C G H, Gupta H V, Bouten W and Verstraten J M 2005 Improved treatment of uncertainty in hydrologic modeling: combining the strengths of global optimization and data assimilation Water Resour. Res. 41 W01017 doi:10.1029/2004WR003059