Integral representations in electrical impedance tomography using boundary integral operators

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참고문헌 (39)

1. D. C. Barber, "Applied potential tomography", Journal of Physics E: Scientific Instruments, 17, pp.723~733 (1984)
2. M. Cheney, "Noser: An algorithm for solving the inverse conductivity problem, Internat", International Journal of Imaging Systems and Technology, 2, pp.66~75 (1990)
3. M. Cheney, "Electrical impedance tomography", SIAM Review, 41(1), pp.85~101 (1999)
4. R. R Coifman, "Lintegrale de Cauchy definit un operateur borne sur L2 pour les courbes lipschitziennes", Annals of Mathematics, 116(2), pp.361~387 (1982)
5. D. Colton, "Inverse scattering from an orthotropic medium", Journal of Computational and Applied Mathematics, 81(2), pp.269~298 (1997)
6. D. C. Dobson, "Convergence of a reconstruction method for the inverse conductivity problem", SIAM Journal on Applied Mathematics, 52(2), pp.442~458 (1992)
7. K. Erhard, "The point source method for reconstructing an inclusion from boundary measurements in electrical impedance tomography and acoustic scattering", Inverse Problems, 19(5), pp.1139~1157 (2003)
8. L. Escauriaza, "Regularity properties of solutions to transmission problems", Transactions of the American Mathematical Society, 383(1), pp.405~430 (1993)
9. G. B. Folland, "Introduction to partial differential equations" (1995), Princeton University Press
10. D. Gilbarg, , pp.224~ (1983), Springer-Verlag
11. D. G. Gisser, "Current topics in impedance imaging", Clinical Physics and Physiological Measurement, 8, pp.39~46 (1987)
12. F. Hettlich, "The determination of a discontinuity in a conductivity from a single boundary measurement", Inverse Problems, 14(1), pp.67~82 (1998)
13. B. Hofmann, "Approximation of the inverse electrical impedance tomography problem by an inverse transmission problem", Inverse Problems, 14(5), pp.1171~1187 (1998)
14. B. Hofmann, "A denseness theorem with an application to a two-dimensional inverse potential refraction problem", SIAM Journal on Mathematical Analysis, 30(4), pp.896~911 (1999)
15. T. Hohage, "A Newton-type method for a transmission problem in inverse scattering", Inverse Problems, 14(5), pp.1207~1227 (1998)
16. M. Ikehata, "Identification of the curve of discontinuity of the determinant of the anisotropic conductivity", Journal of Inverse and Ill-Posed Problems, 8(3), pp.273~285 (2000)
17. V. Isakov, "On uniqueness of recovery of a discontinuous conductivity coefficient", Communications On Pure & Applied Mathematics, 41(7), pp.865~877 (1988)
18. H. Kang, "The layer potential technique for the inverse conductivity problem", Inverse Problems, 12(3), pp.267~278 (1996)
19. H. Kang, "Numerical identification of discontinuous conductivity coefficients", Inverse Problems, 13(1), pp.113~123 (1997)
20. H. Ki, "Numerical inversion of discontinuous conductivities", Inverse Problems, 16(1), pp.33~47 (2000)
21. R. Kohn, "Identification of an unknown conductivity by means of measurements at the boundary, Inverse problems (New York, 1983)", SIAM-AMS Proceedings, pp.113~123 (1984)
22. R. V. Kohn, "Numerical implementation of a variational method for electrical impedance tomography", Inverse Problems, 6(3), pp.389~414 (1990)
23. R. Kress, "Linear integral equations, Second edition. Applied Mathematical Sciences", pp.82~ (1999), Springer-Verlag
24. R. Kress, "Newton’s method for inverse obstacle scattering meets the method of least squares, Special section on imaging", Inverse Problems, 19(6), pp.S91~S104 (2003)
25. K. Kwon, "Identification of anisotropic anomalous region in inverse problems", Inverse Problems, 20(4), pp.1117~1136 (2004)
26. K. Kwon, "Anisotropic inverse conductivity and scattering problems", Inverse Problems, 18(3), pp.745~756 (2002)
27. M. Lassas, "On determining a Riemannian manifold from the Dirichletto-Neumann map", Annales Scientifiques de Ecole Normale Superieure, 34(5), pp.771~787 (2001)
28. J. M. Lee, "Determining anisotropic real-analytic conductivities by boundary measurements", Communications On Pure & Applied Mathematics, 42(8), pp.1097~1112 (1989)
29. W. R. B. Lionheart, "Conformal uniqueness results in anisotropic electrical impedance imaging", Inverse Problems, 13(1), pp.125~134 (1997)
30. A. I. Nachman, "Global uniqueness for a two-dimensional inverse boundary value problem", Annals of Mathematics, 143(1), pp.71~96 (1996)
31. R. Potthast, "Frechet differentiability of boundary integral operators in inverse acoustic scattering", Inverse Problems, 10(2), pp.431~447 (1994)
32. F. Santosa, "A backprojection algorithm for electrical impedance imaging", SIAM Journal on Applied Mathematics, 50(1), pp.216~243 (1990)
33. E. Somersalo, "Layer stripping: a direct numerical method for impedance imaging", Inverse Problems, 7(6), pp.899~926 (1991)
34. Z. Sun, "Anisotropic inverse problems in two dimensions", Inverse Problems, 19(5), pp.1001~1010 (2003)
35. J. Sylvester, "An anisotropic inverse boundary value problem", Communications On Pure & Applied Mathematics, 43(2), pp.201~232 (1990)
36. J. Sylvester, "A convergent layer stripping algorithm for the radially symmetric impedance tomography problem", Communications in Partial Differential Equations, 17(11), pp.1955~1994 (1992)
37. G. Verchota, "Layer potentials and regularity for the Dirichlet problem for Laplace’s equation in Lipschitz domains", Journal of Functional Analysis, 59(3), pp.572~611 (1984)
38. E. J.Woo, "The improved Newton-Raphson method and its parallel implementation for static impedance imaging", Proc. IEEE-EMBS Conf. Part 1, 통권 : 5, pp.102~103 (1990)
39. T. J. Yorkey, "Comparing reconstruction algorithms for electrical impedance tomography", IEEE Transactions on Biomedical Engineering, 34, pp.843~852 (1987)

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