A reconstruction formula and uniqueness of conductivity in MREIT using two internal current distributions

Inverse Problems

Volumn 20, Issue 3, 2004, Pages 847-858

  Lee, June Yub ^a  

^a Ewha Womans University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

CURRENT DENSITY; DIFFERENTIAL EQUATIONS; ELECTRIC DISTORTION; ELECTRIC IMPEDANCE; GRADIENT METHODS; MAGNETIC RESONANCE; TOMOGRAPHY; VECTOR QUANTIZATION;

BOUNDARY DATA; CONDUCTIVITY GRADIENT; INTERNAL CONDUCTIVITY; INTERNAL CURRENT DISTRIBUTION;

ELECTRIC CONDUCTIVITY;

EID: 3042621477     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/20/3/012     Document Type: Article

References (23)

1. Birgül O, Eyüboglu B M and Ider Y Z 2003 Current constrained voltage scaled reconstruction (CCVSR) algorithm for MR-EIT and its performance with different probing current patterns Phys. Med. Biol. 48 653-71
2. Birgül O, Eyüboglu B M and Ider Y Z 2003 Experimental results for 2D magnetic resonance electrical impedance tomography (MR-EIT) using magnetic flux density in one direction Phys. Med. Biol. 48 3485-504
3. Borcea L 2002 Electrical impedance tomography Inverse Problems 18 R99-136
4. Brühl M and Hanke M 2000 Numerical implementation of two noniterative methods for locating inclusions by impedance tomography Inverse Problems 16 1029-42
5. 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
6. Ider Y Z and Muftuler L T 1997 Measurement of ac magnetic field distribution using magnetic resonance imaging IEEE Trans. Med. Imaging 16 617-22
7. Ider Y Z, Onart S and Lionheart W 2003 Uniqueness and reconstruction in magnetic resonance electrical impedance tomography (MR-EIT) Physiol. Meas. 24 591-604
8. 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
9. Kim S, 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
10. Kim Y J, Kwon O, Seo J and Woo E J 2003 Uniqueness and convergence of conductivity image reconstruction in magnetic resonance electrical impedance tomography Inverse Problems 19 1213-25
11. Kwon O, Lee J-Y and Yoon J R 2002 Equipotential line method for magnetic resonance electrical impedance tomography Inverse Problems 18 1089-100
12. Kwon O, Woo E, 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
13. Lee J Y and Yoon J R 2001 A numerical method for Cauchy problem using singular value decomposition Commun. Korean Math. Soc. 16 487-508
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. Mandache N 2001 Exponential instability in an inverse problem for the Schrodinger equation Inverse Problems 17 1435-44
17. z algorithm in magnetic resonance electrical impedance tomography Phys. Med. Biol. 48 3101-16
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 1995 Electromagnetic considerations for RF current density imaging IEEE Trans. Med. Imaging 14 515-24
20. Seo J K, Kwon O, Lee B I and Woo E J 2003 Reconstruction of current density distributions in axially symmetric cylindrical sections using one component of magnetic flux density: computer simulation study Physiol. Meas. 24 565-77
21. Seo J K, Yoon J-R, Woo E J and Kwon O 2003 Reconstruction of conductivity and current density images using only one component of magnetic field measurements IEEE Trans. Biomed., Eng. 50 1121-4
22. 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
23. Zhang N 1992 Electrical impedance tomography based on current density imaging MSc Thesis University of Toronto