Calderón's method on an elliptical domain

Physiological Measurement

Volumn 34, Issue 6, 2013, Pages 609-622

  Muller, P A ^a   Isaacson, D ^a   Newell, J C ^a   Saulnier, G J ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

Calderon's method; electrical impedance tomography; elliptical domain; reconstruction algorithm

Indexed keywords

ELECTRIC IMPEDANCE; ELECTRIC IMPEDANCE MEASUREMENT; ELECTRIC IMPEDANCE TOMOGRAPHY; IMAGE RECONSTRUCTION; INVERSE PROBLEMS;

'CURRENT; CALDERON METHOD; CIRCULAR DOMAINS; ELECTRICAL IMPE DANCE TOMOGRAPHY (EIT); ELLIPTICAL DOMAIN; ELLIPTICALS; HEART FUNCTION; ITS APPLICATIONS; LUNG FUNCTION; RECONSTRUCTION ALGORITHMS;

MEDICAL IMAGING;

EID: 84878889703     PISSN: 09673334     EISSN: 13616579     Source Type: Journal    
DOI: 10.1088/0967-3334/34/6/609     Document Type: Article

References (22)

1. Adler A et al 2009 GREIT: a unified approach to 2D linear EIT reconstruction of lung images Physiol. Meas. 30 S35-55
2. Astala K, Mueller J L, Päivärinta L and Siltanen S 2009 Numerical computation of complex geometrical optics solutions to the conductivity equation Appl. Comput. Harmon. Anal. 29 2-17
3. Bikowski J and Mueller J 2008 2D EIT reconstructions using Calderón's method Inverse Problems Imaging 2 43-61
4. Boverman G, Kao T, Isaacson D and Saulnier G 2009 An implementation of Calderón's method for 3-D limited-view EIT IEEE Trans. Med. Imaging 28 1073-82
5. Calderón A 1980 On an inverse boundary value problem Seminar on Numerical Analysis and its Applications to Continuum Physics (Rio de Janeiro,) (Rio de Janeiro: Sociedade Brasileira de Matematica) pp 65-75
6. DeAngelo M and Mueller J L 2010 2D D-bar reconstructions of human chest and tank data using an improved approximation to the scattering transform Physiol. Meas. 31 221-32
7. Frerichs I, Hinz J, Hermann 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. Phys. 93 660-6 (Pubitemid 34810231)
8. Hamilton S J and Mueller J L 2013 Direct EIT reconstructions of complex admittivities on a chest-shaped domain in 2-D IEEE Trans. Med. Imaging 32 757-69
9. Isaacson D 1986 Distinguishability of conductivities by electric current computed tomography IEEE Trans. Med. Imaging MI-5 91-5 (Pubitemid 16613325)
10. Isaacson D and Isaacson E 1989 Comment on Calderón's paper 'On an inverse boundary problem' Math. Comput. 52 553-9
11. Isaacson D, Mueller J, Newell J and Siltanen S 2004 Reconstructions of chest phantoms by the D-bar method for electrical impedance tomography IEEE Trans. Med. Imaging 23 821-8
12. 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
13. Jain H, Isaacson D, Edic P and Newell J 1997 Electrical impedance tomography of complex conductivity distributions with noncircular boundary IEEE Trans. Biomed. Eng. 44 1051-60 (Pubitemid 27467383)
14. Kao T J, Saulnier G J, Isaacson D, Szabo T L and Newell J C 2008 A versatile high permittivity phantom for EIT IEEE Trans. Biomed. Eng. 55 2601-7
15. Kolehmainen V, Lassas M and Ola P 2007 Calderón's inverse problem with an imperfectly known boundary in two and three dimensions J. Phys.: Conf. Ser. 73 012002
16. Kolehmainen V, Lassas M and Ola P 2008 Electrical impedance tomography problem with inaccurately known boundary and contact impedances IEEE Trans. Med. Imaging 27 1404-14
17. Murphy E, Mueller J and Newell J 2007 Reconstructions of conductive and insulating targets using the D-bar method on an elliptical domain Physiol. Meas. 28 S101-14
18. Murphy E and Mueller J L 2009 Effect of domain shape modelling and measurement errors on the 2-D D-bar method for EIT IEEE Trans. Med. Imaging 28 1576-84
19. Nachman A 1996 Global uniqueness for a two-dimensional inverse boundary value problem Ann. Math. 2 143 71-96
20. Nissinen A, Kolehmainen V and Kaipio J 2011a Compensation of modelling errors due to unknown domain boundary in electrical impedance tomography IEEE Trans. Med. Imaging 30 231-42
21. Nissinen A, Kolehmainen V and Kaipio J 2011b Reconstruction of domain boundary and conductivity in electrical impedance tomography using the approximation error approach Int. J. Uncertain. Quantification 1 203-22
22. 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 (Pubitemid 23572888)