Uniqueness and convergence of conductivity image reconstruction in magnetic resonance electrical impedance tomography

Inverse Problems

Volumn 19, Issue 5, 2003, Pages 1213-1225

  Kim, Yong Jung ^a   Kwon, Ohin ^b   Seo, Jin Keun ^c   Woo, Eung Je ^a  

^a Kyung Hee University   (South Korea)

^b Konkuk University   (South Korea)

^c Yonsei University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; CURRENT DENSITY; ELECTRIC IMPEDANCE TOMOGRAPHY; INVERSE PROBLEMS; MAGNETIC RESONANCE IMAGING; MEDICAL IMAGING; OPTICAL RESOLVING POWER;

CONDUCTIVITY IMAGES;

IMAGE RECONSTRUCTION;

EID: 0142030487     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/19/5/312     Document Type: Article

References (21)

1. Alessandrini G and DiBenedetto E 1997 Determining 2-dimensional cracks in 3-dimensional bodies: uniqueness and stability Indiana Univ. Math. J. 46 1-82
2. Alessandrini G and Magnanini R 1992 The index of isolated critical points and solutions of elliptic equations in the plane Ann. Scoula Norm. Sup. Pisa Cl Sci. 19 567-89
3. Cheney M, Isaacson D and Newell J C 1999 Electrical impedance tomography SIAM Rev. 41 85-101
4. Eyuboglu E, Reddy R and Leigh J S 1998 Imaging electrical current density using nuclear magnetic resonance Elektrik 6 201-14
5. Eyuboglu M, Birgul O and Ider Y Z 2001 A dual modality system for high resolution-true conductivity imaging ICEBI: Proc. 11th Int. Conf. on Elec. Bioimpedance (Oslo, Norway) pp 409-13
6. Gamba H R and Delpy D T 1998 Measurement of electrical current density distribution within the tissues of the head by magnetic resonance imaging Med. Biol. Eng. Comput. 36 165-70
7. Gamba H E, Bayford D and Holder D 1999 Measurement of electrical current density distribution in a simple head phantom with magnetic resonance imaging Phys. Med. Biol. 44 281-91
8. Ider Y Z and Birgul O 1998 Use of the magnetic field generated by the internal distribution of injected currents for electrical impedance tomography (MR-EIT) Elektrik 6 215-25
9. Joy M L G, Scott G C and Henkelman R M 1989 In vivo detection of applied electric currents by magnetic resonance imaging Magn. Reson. Imaging 7 89-94
10. Joy M L G, Lebedev V P and Gati J S 1999 Imaging of current density and current pathways in rabbit brain during transcranial electrostimulation IEEE Trans. Biomed. Eng. 46 1139-49
11. Khang H S, Lee B I, Oh S H, Woo E J, Lee S Y, Cho M H, Kwon O, Yoon J R and Seo J K 2002 J-substitution algorithm in magnetic resonance electrical impedance tomography (MREIT): phantom experiments for static resistivity images IEEE Trans. Med. Imaging 21 695-702
12. Kim S W, Kwon O, Seo J K and Yoon J R 2002 On a nonlinear partial differential equation arising in magnetic resonance electrical impedance tomography SIAM J. Math. Anal. 34 511-26
13. Kwon O, Woo E J, Yoon J R and Seo J K 2002 Magnetic resonance electrical impedance tomography (MREIT): simulation study of J-substitution algorithm IEEE Trans. Biomed. Eng. 49 160-7
14. Lee B I, Oh S H, Woo E J, Lee S Y, Cho M H, Kwon O, Seo J K and Baek W S 2003 Static resistivity image of a cubic saline phantom in magnetic resonance electrical impedance tomography (MREIT) Physiol. Meas. 24 579-89
15. Lee B I, Oh S H, Woo E J, Lee S Y, Cho M H, Kwon O, Seo J K, Lee J Y and Baek W S 2003 Three-dimensional forward solver and its performance analysis for magnetic resonance electrical impedance tomography (MREIT) using recessed electrodes Phys. Med. Biol. 48 1971-86
16. Oh S H, Lee B I, Woo E J, Lee S Y, Cho M H, Kwon O, Yoon J R and Seo J K 2002 Magnetic resonance electrical impedance tomography (MREIT): phantom experiments for static resistivity images using J-substitution algorithm Proc. 2nd Joint IEEE EMBS/BMES Conf. (Houston, TX) pp 917-8
17. Seo J K 1996 A uniqueness results on inverse conductivity problem with two measurements J. Fourier Anal. Appl. 2 515-24
18. Scott G C, Joy M L G, Armstrong R L and Henkelman R M 1991 Measurement of nonuniform current density by magnetic resonance IEEE Trans. Med. Imaging 10 362-74
19. Scott G C, Joy M L G, Armstrong R L and Henkelman R M 1992 Sensitivity of magnetic-resonance current density imaging J. Magn. Reson. 97 235-54
20. Woo E J, Lee S Y and Mun C W 1994 Impedance tomography using internal current density distribution measured by nuclear magnetic resonance Proc. SPIE 2299 377-85
21. Zhang N 1992 Electrical impedance tomography based on current density imaging MS Thesis Department of Electrical Engineering, University of Toronto, Toronto, Canada