Conformal uniqueness results in anisotropic electrical impedance imaging

Inverse Problems

Volumn 13, Issue 1, 1997, Pages 125-134

  Lionheart, W R B ^a  

^a OXFORD BROOKES UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000403477     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/13/1/010     Document Type: Article

References (20)

1. Alessandrini G 1990 Singular solutions of elliptic-equations and the determination of conductivity by boundary measurements J. Diff. Eq. 84 252-72
2. Bishop R L and Goldberg S I 1980 Tensor Analysis on Manifolds (New York: Dover)
3. Brown R M 1996 Global uniqueness in the impedance-imaging problem for less regular conductivities SIAM J. Math. Anal. 27 1049-56
4. Burke W L 1985 Applied Differential Geometry (Cambridge: Cambridge University Press)
5. Cantor M 1981 Elliptic operators and the decomposition of tensor fields Bull. AMS 5 235-62
6. DeTurck D M and Yang D 1984 Existence of elastic deformations with prescribed principal strains and triply orthogonal systems Duke Math. J. 51 243-60
7. Elzanowski M, Epstein M and Sniatycki J 1990 G-structures and material homogeneity J. Elasticity 23 167-80
8. Glidewell M and Ng K T 1995 Anatomically constrained electrical-impedance tomography for anisotropic bodies via a 2-step approach IEEE Trans. Medical Imaging 14 498-503
9. Kobayashi S 1972 Transformation Groups in Differential Geometry (Berlin: Springer)
10. Kohn R V and Vogelius M 1984 Identification of an unknown conductivity by means of measurements at the boundary Proc. SIAM-AMS Symp. on Applied Mathematics (New York, 1983) ed D W McLaughlin (Providence, RI: AMS) pp 113-23
11. Kohn R V and Vogelius M 1985 Determining conductivity by boundary measurements II. Interior results Commun. Pure Appl. Math. 38 643-67
12. Krantz S G and Parks H R 1992 A Primer of Real Analytic Functions (Basel: Birkhäuser)
13. Kulkarni R S and Pinkall U 1988 Conformal Geometry (Braunschweig: Vieweg)
14. Lee J M and Uhlmann G 1989 Determining anisotropic real-analytic conductivities by boundary measurements Commun. Pure Appl. Math. 42 1097-112
15. Somersalo E, Cheney M and Isaacson D 1992 Existence and uniqueness for electrode models for electric current computed tomography Inverse Problems 52 1023-40
16. Spivak M 1968 Calculus on Manifolds (Redwood City, CA: Addison-Wesley)
17. Sylvester J 1990 An anisotropic inverse boundary value problem Commun. Pure Appl. Math. 43 201-32
18. Sylvester J and Uhlmann G 1986 A uniqueness theorem for an inverse boundary value problem in electrical prospection Commun. Pure Appl. Math. 39 92-112
19. Sylvester J and Uhlmann G 1987 A global uniqueness theorem for an inverse boundary value problem Ann. Math. 125 153-69
20. Wang C-C and Truesdell C 1973 Introduction to Rational Elasticity (Leyden: Noordhoff International)