2D D-bar reconstructions of human chest and tank data using an improved approximation to the scattering transform

Physiological Measurement

Volumn 31, Issue 2, 2010, Pages 221-232

  Deangelo, M ^a   Mueller, J L ^b  

^a Global Medical Response   (United States)

^b Engineering Research Center and Hydraulics Laboratory   (United States)

Author keywords

D bar method; Electrical impedance tomography; Perfusion; Reconstruction algorithm; Scattering transform

Indexed keywords

APPROXIMATION ALGORITHMS; ELECTRIC IMPEDANCE MEASUREMENT; ELECTRIC IMPEDANCE TOMOGRAPHY; IMAGE RECONSTRUCTION; TANKS (CONTAINERS);

D-BAR METHOD; ELECTRICAL IMPE DANCE TOMOGRAPHY (EIT); GREENS FUNCTION; HUMAN CHEST; INTERMEDIATE FUNCTION; LAPLACIANS; MUELLER; PERFUSION; RECONSTRUCTION ALGORITHMS; SCATTERING TRANSFORMS;

ELECTRIC IMPEDANCE;

EID: 75449106051     PISSN: 09673334     EISSN: 13616579     Source Type: Journal    
DOI: 10.1088/0967-3334/31/2/008     Document Type: Article

References (29)

1. Astala K and Päivärinta L 2006 Calderón's inverse conductivity problem in the plane Ann. Math. 163 265-99
2. Brown R M and Uhlmann G 1997 Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions Commun. Partial Differ. Equ. 22 1009-27
3. Calderón A P 1980 On an inverse boundary value problem Seminar on Numerical Analysis and its Applications to Continuum Physics (Soc. Brasileira de Matemtica) pp 65-73
4. Cheney M, Isaacson D and Newell J C 1999 Electrical impedance tomography SIAM Rev. 41 85-101
5. Cheney M, Isaacson D, Newell J C, Goble J and Simske S 1990 Noser: an algorithm for solving the inverse conductivity problem Int. J. Imaging Syst. Technol. 2 66-75
6. Edic P M, Saulnier G J, Newell J C and Isaacson D 1995 A real-time electrical impedance tomograph IEEE Trans. Biomed. Eng. 42 849-59
7. Faddeev L D 1966 Increasing solutions of the Schrödinger equation Sov.-Phys. Dokl. 10 1033-5
8. Frerichs I, Hahn G, Schroder T and Hellige G 1998 Electrical impedance tomography in monitoring experimental lung injury Intensive Care Med. 24 829-36
9. Frerichs I, Hinz J, Herrmann P, Weisser G, Hahn G, Dudykevych T, Quintel M and Hellige G 2002 Detection of local lung air content by electrical impedance tomography compared with electron beam CT J. Appl. Physiol. 93 660-6 (Pubitemid 34810231)
10. Holder D S 2005 Electrical Impedance Tomography 1st edn (Bristol: Institute of Physics Publishing)
11. Isaacson D and Cheney M 1990 Current problems in impedance imaging Inverse Problems in Partial Differential Equations ed D Colton, R Ewing and W Rundell (Philadelphia, PA: SIAM) pp 141-9
12. Isaacson D, Mueller J L, Newell J C and Siltanen S 2004 Reconstructions of chest phatoms by the d-bar method for electrical impedance tomography IEEE Trans. Med. Imaging 23 821-8
13. Isaacson D, Mueller J L, Newell J C and Siltanen S 2006 Imaging cardiac activity by the d-bar method for electrical impedance tomography Physiol. Meas. 27 S43-50
14. Knudsen K, Lassas M, Mueller J L and Siltanen S 2007 D-bar method for electrical impedance tomography with discontinuous conductivities SIAM J. Appl. Math. 67 893-913
15. Knudsen K, Lassas M, Mueller J L and Siltanen S 2008 Reconstructions of piecewise constant conductivities by the D-bar method for electrical impedance tomography Proc. of 4th AIP Int. Conf. and the 1st Congress of the IPIA, Vancouver, J. Phys.: Conf. Ser. 124 012029
16. Knudsen K, Lassas M, Mueller J L and Siltanen S 2009 Regularized D-bar method for the inverse conductivity problem Inverse Problems and Imaging (to appear)
17. Knudsen K, Mueller J L and Siltanen S 2004 Numerical solution method for the dbar-equation in the plane J. Comp. Phys. 198 500-17
18. Kunst P W, Böhm S H, Vazquez de Anda G, Amato M B, Lachmann B, Postmus P E and de Vries P M 2000a Regional pressure volume curves by electrical impedance tomography in a model of acute lung injury Crit. Care Med. 28 178-83 (Pubitemid 30091049)
19. Kunst P W, Vazquez de Anda G, Bohm S H, Faes T J, Lachmann B, Postmus P E and de Vries P M 2000b Monitoring of recruitment and derecruitment by electrical impedance tomography in a model of acute lung injury Crit. Care Med. 28 3891-5 (Pubitemid 32045667)
20. Kunst P W, Vonk Noordegraaf A, Hoekstra O S, Postmus P E and de Vries P M 1998 Ventilation and perfusion imaging by electrical impedance tomography: a comparison with radionuclide scanning Physiol. Meas. 19 481-90
21. Mueller J L and Siltanen S 2003 Direct reconstructions of conductivities from boundary measurements SIAM J. Sci. Comput. 24 1232-66 (electronic)
22. Murphy E K, Mueller J L and Newell J C 2007 Reconstructions of conductive and insulating targets using the D-bar method on an elliptical domain Physiol. Meas. 28 S101-14
23. Murphy E K and Mueller J L 2009 Effect of domain shape modeling and measurement errors on the 2-D D-bar method for EIT IEEE Trans. Med. Im. 28 1576-84
24. Nachman A I 1996 Global uniqueness for a two-dimensional inverse boundary value problem Ann. Math. 143 71-96
25. Siltanen S 1999 Electrical impedance tomography and Faddeev's Green functions Ann. Acad. Sci. Fenn. Mathematica Dissertationes 121
26. Siltanen S, Mueller J L and Isaacson D 2000 An implementation of the reconstruction algorithm of A Nachman for the 2D inverse conductivity problem Inverse Problems 16 681-99
27. Siltanen S, Mueller J and Isaacson D 2001 An implementation of the reconstruction algorithm of A Nachman for the 2-D inverse conductivity problem Inverse Problems 17 1561-3 (erratum)
28. Trigo F C, Gonzalez-Lima R and Amato M B P 2004 Electrical impedance tomography using the extended Kalman filter IEEE Trans. Biomed. Eng. 51 72-81
29. Victorino J A 2004 Imbalances in regional lung ventilation: a validation study on electrical impedance tomography Am. J. Respir. Crit. Care Med. 169 791-800