Electrical impedance tomography

Inverse Problems

Volumn 18, Issue 6, 2002, Pages

  Borcea, Liliana ^a  

^a The NanoCarbon Center and Welch Institute for Advanced Materials   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DIELECTRIC MATERIALS; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC CONDUCTIVITY; ELECTRIC CURRENTS; ELECTRIC FIELD EFFECTS; ELECTRIC IMPEDANCE TOMOGRAPHY; ELECTRIC POTENTIAL; GEOPHYSICS; MATHEMATICAL MODELS; MAXWELL EQUATIONS; MINERAL RESOURCES; PERMITTIVITY; UNDERGROUND RESERVOIRS;

EXTERNAL ELECTRIC FIELDS;

INVERSE PROBLEMS;

EID: 0036904346     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/18/6/201     Document Type: Review

References (153)

1. Akbarzadeh M.R., Tompkins W.J. and Webster J.G. 1990 Multichannel impedance pneumography for apnea monitoring Proc. Ann. Int. Conf. IEEE Eng. Med. Biol. Soc. vol 12 pp 1048-9.
2. Alessandrini G. 1988 Stable determination of conductivity by boundary measurements Appl. Anal 27 153-72.
3. Alessandrini G. 1993 Stable determination of a crack from boundary measurements Proc. R. Soc. Edin. A 127 497-516.
4. Alessandrini G. 1997 Examples of instability in inverse boudary-value problems Inverse Problems 13 887-97.
5. Alessandrini G., Beretta E., Santosa F. and Vessella S. 1995 Stability in crack determination from electrostatic measurements at the boundary-a numerical investigation Inverse Problems 11 L17-24.
6. Alessandrini G. and Rondi L. 1998 Stable determination of a crack in a planar inhomogeneous conductor SIAM J. Math. Anal. 30 326-40.
7. Allers A. and Santosa F. 1991 Stability and resolution analysis of a linearized problem in electrical impedance tomography Inverse Problems 7 515-33.
8. Ascher U.M. and Haber E. 2001 Grid refinement and scaling for distributed parameter estimation problems Inverse Problems 17 571-90.
9. Asvadurov S., Druskin V. and Knizhnerman L. 2000 Application of the difference Gaussian rules to solution of hyperbolic problems J. Comput. Phys. 158 116-35.
10. Barber D. and Brown B. 1984 Applied potential tomography J. Phys. E: Sci. Instrum. 17 723-33.
11. Barber D. and Brown B. 1986 Recent developments in applied potential tomography-apt Information Processing in Medical Imaging ed S.L. Bacharach (Amsterdam: Nijhoff) pp 106-21.
12. Batchelor G.K. and O'Brien R.W. 1977 Thermal or electrical conduction through a granular material Proc. R. Soc. A 355 313-33.
13. Bensousaan A., Lions J.L. and Papanicolaou G.C. 1978 Asymptotic Analysis for Periodic Structures (Amsterdam: North-Holland).
14. Berenstein C.A. and Casadio Tarabusi E. 1996 Integral geometry in hyperbolic spaces and electrical impedance tomography SIAM J. Appl. Math. 56 755-64.
15. Bergman D.J. 1993 Hierarchies of Stieljes functions and their applications to the calculation of bounds for the dielectric constant of a two component composite medium SIAM J. Appl. Math. 53 915-30.
16. Berlyand L. and Kolpakov A. 2001 Network approximation in the limit of small interparticle distance of the effective properties of a high-contrast random dispersed composite Arch. Ration. Mech. Anal. 159 179-227.
17. Berryman J.G. 1991 Convexity properties of inverse problems with variational constraints J. Franklin Institute 328 1-13.
18. Berryman J.G. and Kohn R.V. 1990 Variational constraints for electrical impedance tomography Phys. Rev. Lett. 65 325-8.
19. Beyikin G. 1984 The inversion problem and applications of the generalized Radon transform Commun. Pure Appl. Math. 37 580-99.
20. Bonnetier E. and Vogelius M. 2000 An elliptic regularity results for a composite medium with 'touching' fibers of circular cross-section SIAM J. Math. Anal. 93 651-77.
21. Borcea L. 1999 Asymptotic analysis of quasi-static transport in high contrast conductive media SIAM J. Appl. Math. 59 597-635.
22. Borcea L. 2001 A nonlinear multigrid for imaging electrical conductivity and permittivity at low frequency Inverse Problems 17 329-59.
23. Borcea L., Berryman J.G. and Papanicolaou G.C. 1996 High contrast impedance tomography Inverse Problems 12 935-58.
24. Borcea L., Berryman J.G. and Papanicolaou G.C. 1999 Matching pursuit for imaging high contrast conductive media Inverse Problems 15 811-49.
25. Borcea L. and Druskin V. 2002 Optimal finite difference grids for direct and inverse Sturm-Liouville problems Inverse Problems 18 1247-79.
26. Borcea L., Gray G. and Zhang Y. 2002 A variationally constrained numerical solution of the electrical impedance tomography problem Preprint (Inverse Problems to be submitted).
27. Borcea L. and Papanicolaou G.C. 1998 Network approximation for transport properties of high contrast materials SIAM J. Appl. Math. 58 501-39.
28. Borcea L. and Papanicolaou G.C. 2000 Low frequency electromagnetic fields in high contrast media Surveys on Solution Methods for Inverse Problems ed D. Colton, H.W. Engl, A. Louis, J.R. McLaughlin and W. Rundell (New York: Springer) pp 195-233.
29. Brown R.M. 1996 Global uniqueness in the impedance imaging problem for less regular conductivities SIAM J. Math. Anal. 27 1049-56.
30. Brown R.M. and Uhlmann G. 1997 Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions Commun. Part. Diff. Eqns 22 1009-27.
31. Brühl M. and Hanke M. 2000 Numerical implementation of two noniterative methods for locating inclusions by impedance tomography Inverse Problems 16 1029-42.
32. Calderón A.P. 1963 Boundary value problems for elliptic equations Outlines of the Joint Soviet-American Symp. on Partial Differential Equations (Novosibirsk) pp 303-4.
33. Calderón A.P. 1980 On an inverse boundary va1ue problem Seminar on Numerical Analysis and its applications to Continuum Physics (Soc. Brasileira de Matèmatica, Rio de Janeiro) pp 65-73.
34. Cedio-Fengya D.J., Moskow S. and Vogelius M.S. 1998 Identification of conductivity imperfections of small diameter by boundary measurements, continuous dependence and computational reconstruction Inverse Problems 14 553-95.
35. Chan T., Golub G.H. and Mulet P. 1999 A nonlinear primal-dual method for total variation-based image restoration SIAM J. Sci. Comput. 20 1964-77.
36. Chavent G. and Kunisch K. 1993 Regularization in state space J. Numer. Anal. 27 535-64.
37. Cheney M. 2001 The linear sampling method and the music algorithm Inverse Problems 17 591-5.
38. Cheney M. and Isaacson D. 1992 Distinguishability in impedance imaging IEEE Trans. Biomed. Eng. 39 852-60.
39. Cheney M., Isaacson D. and Newell J.C. 1999 Electrical impedance tomograpby SIAM Rev. 41 85-101.
40. Cherkaev A.V. and Gibiansley L.V. 1994 Variational principles for complex conductivity, viscoelasticity, and similar problems in media with complex moduli J. Math. Phys. 35 127-45.
41. Cherkaeva E. 2001 Inverse homogenization for evaluation of effective properties of a mixture Inverse Problems 17 1203-18.
42. Cherkaeva E. and Tripp A. 1996 Inverse conductivity problem for noisy measurements Inverse Problems 12 869-83.
43. Chu M.T. and Golub G.H. 2001 Structured inverse eigenvalue problems Acta Numer. 1-70.
44. Courant R. and Hilbert D. 1953 Methods of Mathematical Physics vol 1 (New York: Wiley).
45. Curtis E.B., Ingerman D. and Morrow J.A. 1998 Circular planar graphs and resistor networks Linear Algebra Appl. 283 115-50.
46. Curtis E.B. and Morrow J.A. 1990 Determining the resistors in a network SIAM J. Appl. Math. 50 931-41.
47. Colin de Verdière Y. 1994 Réseaux électriques planaires i Comments Math. Helv. 69 351-74.
48. Colin de Verdière Y. 1996 Réseanx électriques planaires ii Comments Math. Helv. 71 144-67.
49. Dennis J.E. and Schnabel R.B. 1996 Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Philadelphia, PA: SIAM).
50. Hanoch L.-A. and Devaney A.J. 2000 The time reversal technique re-interpreted: subspace based signal processing for multi-static target location IEEE Sensor Array and Multichannel Signal Processing Workshop (Cambridge, MA) pp 509-13.
51. Dines K.A. and Lytle R.J. 1981 Analysis of electrical conductivity imaging Geophysics 46 1025-36.
52. Dobson D.C. 1990 Stability and regularity of an inverse elliptic boundary value problem Technical Report TR90-14 Rice University, Dept of Math. Sciences.
53. Dobson D.C. 1992 Convergence of a reconstruction method for the inverse conductivity problem SIAM J. Appl. Math. 52 442-58.
54. Dobson D.C. 1992 Estimates on resolution and stabilization for the linearized inverse conductivity problem Inverse Problems 8 71-81.
55. Dorn O., Bertete-Aguirre H., Berryman J.G. and Papanicolaou G.C. 1999 A nonlinear inversion method for 3d electromagnetic imaging using adjoint fields Inverse Problems 15 1523-58.
56. Dorn O., Bertete-Aguirre H., Berryman J.G. and Papanicolaou G.C. 2002 Sensitivity analysis of a nonlinear inversion method for 3d electromagnetic imaging in anisotropic media Inverse Problems 18 285-317.
57. Dorn O., Miller E.L. and Rappaport C.M. 2000 A shape reconstruction method for electromagnetic tomography using adjoint fields and level sets Inverse Problems 16 1118-56.
58. Druskin V. 1982 The unique solution of the inverse problem of electrical surveying and electrical well-logging for piecewise-continuous conductivity Izv. Earth Phys. 18 51-3.
59. Druskin V. 1985 On uniqueness of the determination of the three-dimensional underground structures from surface measurements with variously positioned steady-state or monochromatic field sources Sov. Phys.-Solid Earth 21 210-4 (English transl. (Washington, DC: American Geophysical Union)).
60. Druskin V. and Knizherman L. 2000 Gaussian spectral rules for second order finite-difference schemes. mathematical journey through analysis, matrix theory and scientific computation Numer. Algorithms 25 139-59.
61. Druskin V. and Knizhnerman L. 2000 Gaussian spectral rules for three-point second differences: I. A two-point positive definite problem in a semiinfinite domain SIAM J. Numer. Anal. 37 403-22.
62. Druskin V. and Moskow S. 2002 Three-point finite difference schemes. Padé and the spectral Galerkin method. I. One-sided impedance approximation J. Math. Comput. 239 995-1019.
63. Eggleston M.R., Schwabe R.J., Isaacson D. and Coffin L.F. 1989 The application of electric current computed tomography to defect imaging in metals Review of Progress in Quantitative NDE ed D.O. Thompson and D.E. Chimenti (New York: Plenum).
64. Ekeland I. and Témam R. 1999 Convex Analysis and Variational Problems (Philadelphia, PA: SIAM).
65. Engl H.W., Hanke M. and Neubauer A. 1996 Regularization of Inverse Problems (Dordrecht: Kluwer).
66. Engl H.W., Kunisch K. and Neubauer A 1989 Convergence rates for Tikhonov regularization of nonlinear ill-posed problems Inverse Problems 5 523-40.
67. Fannjiang A. and Papanicolaou G.C. 1994 Convection enhanced diffusion for periodic flows SIAM J. Appl. Math. 54 333-408.
68. Folland G.B. 1995 Introduction to Partial Differential Equations (Princeton, NJ: Princeton University Press).
69. Francini E. 2000 Recovering a complex coefficient in a planar domain from the Dirichlet-to-Neumann map Inverse Problems 16 107-19.
70. Colli Franzone P., Guerri L., Taccardi B. and Viganotti C. 1979 The direct and inverse potential problems in electrocardiology. Numerical aspects of some regularization methods and application to data collected in isolated dog heart experiments Pub. 222 Laboratorio di Analisi Numerica del Consiglio Nazionale delle Richerche, Pavia.
71. Friedman A. and Vogelius M. 1989 Determining cracks by boundary measurements Indiana Univ. Math. J. 3 527-56.
72. Gisser D.G., Isaacson D. and Newell J.C. 1990 Electric current computed tomography and eigenvalues SIAM J. Appl. Math. 50 1623-4.
73. Golden K. and Papanicolaou G. 1983 Bounds on effective parameters of heterogeneous media by analytic continuation Commun. Math. Phys. 90 473-91.
74. Gray G. 2002 A variationally constrained numerical solution of the electrical impedance tomography problem Computational and Applied Mathematics PhD Thesis, Technical Report 02-02 Rice University.
75. Grimmet G. 1980 Percolation (New York: Springer).
76. Grünbaum A. and Zubelli J.P. 1992 Diffuse tomography: computational aspects of the isotropic case Inverse Problems 8 421-33.
77. Haber E. and Ascher U. 2000 Fast finite volume simulation of 3d electromagnetic problems with highly discontinuous coefficients SIAM J. Sci. Comput. 22 1943-61.
78. Haber E. and Ascher U. 2001 Preconditioned all-at-once methods for large, sparse parameter estimation problems Inverse Problems 17 1847-64.
79. Haber E., Ascher U. and Oldenburg D. 2000 On optimization techniques for solving nonlinear inverse problems Inverse Problems 16 1263-80.
80. Hadamard J. 1902 Sur les problèmes aux dérivées partielles et leur signification physique Bull. Univ. Princeton 13.
81. Halperin B.I. 1989 Remarks on percolations and transport in networks with a wide range of bond strengths Physica D 38 179-83.
82. Hanke M. 1997 Regularizing properties of a truncated Newton-CG algorithm for nonlinear inverse problems Numer Funct. Anal. Optim. 18 971-93.
83. Harris N.D., Suggett A.J., Barber D. and Brown B. 1987 Applications of applied potential tomography (APT) in respiratory medicine Clin. Phys. Physiol. Meas. 8 155-65.
84. Holder D. 1993 Clinical and Physiological Applications of Electrical Impedance Tomography (London: UCL Press).
85. Ikehata M. and Siltanen S. 2000 Numerical method for finding the convex hull of an inclusion in conductivity from boundary measurements Inverse Problems 16 1043-52.
86. Ingerman D. 2000 Discrete and continuous Dirichlet-to-Neumann maps in the layered case SIAM J. Math. Anal. 31 1214-34.
87. Ingerman D., Druskin V. and Knizhnerman L. 2000 Optimal finite-difference grids and rational approximations of the square root. I. Elliptic problems Commun. Pure Appl. Math. 53 1039-66.
88. Isaacson D. 1986 Distinguishability of conductivities by electric current computed tomography IEEE Trans. Med. Imag. 5 91-5.
89. 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.
90. Isaacson D. and Cheney M. 1991 Effects of measurement precision and finite number of electrodes on linear impedance imaging algorithms SIAM J. Appl. Math. 1705-31.
91. Isaacson D. and Isaacson E. 1989 Comment on Calderón's paper: on an inverse boundary value problem Math. Comput. 52 553-9.
92. Isakov V. 1993 Uniqueness and stability in multi-dimensional inverse problems Inverse Problems 9 579-621.
93. Isakov V. 1998 Inverse Problems for Partial Differential Equations (New York: Springer).
94. Ito K., Kunisch K. and Li Z. 2001 Level-set function approach to an inverse interface problem Inverse Problems 17 1225-42.
95. Kac I.S. and Krein M.G. 1974 On the spectral functions of the string Am. Math. Soc. Transl. Ser 2 103 19-102.
96. Kaipio J.P., Kolehmainen V., Somersalo E. and Vauhkonen M. 2000 Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography Inverse Problems 16 1487-522.
97. Kaipio J.P., Kolehmainen V., Vauhkonen M. and Somersalo E. 1999 Inverse problems with structural prior information Inverse Problems 15 713-29.
98. Kaltenbacher B. 2001 On the regularizing properties of a full multigrid method for ill-posed problems Inverse Problems 17 767-88.
99. Keller G.V. 1988 Electrical Properties of Rocks and Minerals, Handbook of Physical Constants ed S.P. Clarck Jr (New York: Geological Society of America) pp 553-77.
100. Keller J.B. 1963 Conductivity of a medium containing a dense array of perfectly conducting spheres or cylinders or nonconducting cylinders J. Math. Phys. 34 991-3.
101. Keller J.B. 1987 Effective conductivity of periodic composites composed of two very unequal conductors J. Math. Phys. 28 2516-20.
102. King J.T. 1992 Multilevel algorithms for ill-posed problems Numer. Math. 61 313-34.
103. Kirsch A. 1998 Characterization of the shape of the scattering obstacle using the spectral data of the far field operator Inverse Problems 14 1489-512.
104. Kohn R.V. and McKenney A. 1990 Numerical implementation of a variational method for electrical impedance tomography Inverse Problems 6 389-414.
105. Kohn R.V. and Vogelius M. 1984 Determining conductivity-by boundary measurements Commun. Pure Appl. Math. 37 113-23.
106. Kohn R.V. and Vogelius M. 1984 Identification of an unknown conductivity by means of measurements at the boundary Inverse Problems (SIAM-AMS Proc. No. 14) ed D. McLaughlin (Providence, RI: American Mathematical Society) pp 113-23.
107. Kohn R.V. and Vogelius M. 1985 Determining conductivity by boundary measurements ii. interior results Commun. Pure Appl. Math. 38 643-67.
108. Kohn R.V. and Vogelius M. 1987 Relaxation of a variational method for impedance computed tomography Commun. Pure Appl. Math. XL 745-77.
109. Koplik J. 1982 Creeping flow in two-dimensional networks J. Fluid. Mech. 119 219-47.
110. Kozlov S.M. 1989 Geometric aspects of averaging Russ. Math. Surv. 44 91-144.
111. Lee J. and Uhlmann G. 1989 Determining anisotropic real-analytic conductivities by boundary measurements Commun. Pure Appl. Math. 42 1087-112.
112. Li Yan Yan and Vogelius M. 2000 Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients Arch. Rational Mech. Anal. 153 91-151.
113. McCormick S.F. and Wade J.G. 1993 Multigrid solution of a linearized, regularized least-squares problem in electrical impedance tomography Inverse Problems 9 697-713.
114. Milton G.W. 1980 Bounds on the complex dielectric constant of a composite material Appl. Phys. Lett. 37 300-2.
115. Morozov V.A. 1984 Methods for Solving Incorrectly Posed Problems (New York: Springer).
116. Nachman A., Sylvester J. and Uhlmann G. 1988 An n-dimensional Borg-Levinson theorem Commun. Math. Phys. 115 595-605.
117. Nachman A.I. 1988 Reconstructions from boundary measurements Ann. Math. 128 531-76.
118. Nachman A.I. 1996 Global uniqueness for a two-dimensional inverse boundary problem Ann. Math. 143 71-96.
119. Nocedal J. and Wright S.J. 1999 Numerical Optimization (Springer Series in Operations Research) (New York: Springer).
120. Osher S.J. and Santosa F. 2001 Level set methods for optimization problems involving geometry and constraints. i. frequencies of a two-density inhomogeneous drum J. Comput. Phys. 171 272-88.
121. O'Sullivan F. 1986 A statistical perspective on ill-posed inverse problems Stat. Sci. 1 502-27.
122. Päivärinta L., Panchencko A. and Uhlmann G. 2002 Complex geometrical optics solutions for Lipschitz conductivities Rev. Mat. Iberoamericana at press.
123. Parker R.L. 1984 The inverse problem of resistivity sounding Geophysics 142 2143-58.
124. Ramirez A., Daily W., Binley B., LaBreque D. and Roelant D. 1996 Detection of leaks in underground storage tanks using electrical resistance methods J. Environ. Eng. Geophys. 1 189-203.
125. Ramirez A., Daily W., LaBreque D., Owen E. and Chesnut D. 1993 Monitoring an underground steam injection process using electrical resistance tomography Water Resources Res. 29 73-87.
126. Santosa F. 1995.1996 A level-set approach for inverse problems involving obstacles ESAIM Controle Optim. Calc. Var 1 17-33.
127. Santosa F., Kaup P. and Vogelius M. 1996 A method for imaging corrosion damage in thin plates from electrostatic data Inverse Problems 12 279-93.
128. Santosa F. and Vogelius M. 1990 A backprojection algorithm for electrical impedance imaging SIAM J. Appl. Math. 50 216-43.
129. Santosa F. and Vogelius M. 1991 A computational algorithm for determining cracks from electrostatic boundary measurements Int. J. Eng. Sci. 29 917-38.
130. Schmidt R.O. 1986 Multiple emitter location and signal parameter estimation IEEE Trans. Antennas Prop. 34 276-80.
131. Schwan H.P. and Kay C.F. 1957 The conductivity of living tissues Ann. NY Acad. Sci. 65 1007-13.
132. Davydycheva S., Druskin V. and Habashy T. An efficient finite-difference scheme for electromagnetic logging in 3-d anisotropic inhomogeneous media Geophysics submitted.
133. Seagar A. 1983 Probing with low frequency electric currents PhD Thesis University of Canterbury, UK.
134. Siltanen S., Mueller J. and Isaacson D. 2000 An implementation of the reconstruction algorithm of A Nachman for the 2d inverse conductivity problem Inverse Problems 16 681-99.
135. 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.
136. Somersalo E., Cheney M., Isaaeson D. and Isaacson E. 1991 Layer stripping: a direct numerical method for impedance imaging Inverse Problems 7 899-926.
137. Somersalo E., Isaacson D. and Cheney M. 1992 A linearized inverse boundary value problem for Maxwell's equations J. Comput. Appl. Math. 42 123-36.
138. Sun Z. 1989 On an inverse boundary value problem in two dimensions Commun. Partial Diff. Eqns 14 1101-13.
139. Sun Z. 1990 The inverse conductivity problem in two dimensions J. Diff. Eqns 87 227-55.
140. Sun Z. and Uhlmann G. 1991 Generic uniqueness for an inverse boundary value problem Duke Math. J. 62 131-55.
141. Sylvester J. 1990 An anisotropic inverse boundary value problem Commum Pure Appl. Math. 43 201-32.
142. Sylvester J. 1992 A convergent layer stripping algorithm for radially symmetric impedance tomography problem Commun. Partial Diff. Eqns 17 1955-94.
143. 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.
144. Sylvester J. and Uhlmann G. 1987 A global uniqueness theorem for an inverse boundary value problem Ann. Math. 125 153-69.
145. Sylvester J. and Uhlmann G. 1988 Inverse boundary value problems at the boundary-continuous dependence Commun. Pure Appl. Math. XLI 197-219.
146. Sylvester J. and Uhlmann G. 1991 inverse problems in anisotropic media, inverse scattering and applications Contemp. Math. 122 105-17.
147. Tikhonov A.N. and Arsenin V.Y. 1977 Solutions of Ill-Posed Problems ed F. John (Washington, DC: Wiley).
148. Uhlmann G. 1999 Developments in inverse problems since Calderón's foundational paper Harmonic Analysis and Partial Differential Equations (Chicago Lectures in Math.) (Chicago, IL: University of Chicago Press) pp 295-345.
149. Uhlmann G. 2000 Inverse scattering in anisotropic media Surveys on Solution Methods for Inverse Problems ed D. Colton, H.W. Engl, A. Louis, J.R. McLaughlin and W. Rundell (New York: Springer) pp 235-52.
150. Vozoff K. 1991 The magnetotelluric method Electromagnetic Methods in Applied Geophysics-Applications ed M.N. Nabighian (Tulsa, OK: Society of Exploration Geophysicists) ch 8.
151. Wexler A., Fry B. and Neumann M. 1985 Impedance-computed tomography algorithm and system Appl. Opt. 24 3985-92.
152. White B.S., Kohler W.E. and Srnka L.J. 2001 Random scattering in magnetotellurics Geophysics 1 188-204.
153. Yorkey T.J., Webster J.G. and Tompkins W.J. 1987 Comparing reconstruction algorithms for electrical impedance tomography IEEE Trans. Biomed. Eng. 34 843-52.