Resistor networks and optimal grids for the numerical solution of electrical impedance tomography with partial boundary measurements
暂无分享,去创建一个
[1] David Isaacson,et al. Layer stripping: a direct numerical method for impedance imaging , 1991 .
[2] David Isaacson,et al. NOSER: An algorithm for solving the inverse conductivity problem , 1990, Int. J. Imaging Syst. Technol..
[3] Vladimir Druskin,et al. Application of the Difference Gaussian Rules to Solution of Hyperbolic Problems , 2000 .
[4] E. Somersalo,et al. Existence and uniqueness for electrode models for electric current computed tomography , 1992 .
[5] A. Calderón,et al. On an inverse boundary value problem , 2006 .
[6] R. Kohn,et al. Relaxation of a variational method for impedance computed tomography , 1987 .
[7] Giovanni Alessandrini,et al. Stable determination of conductivity by boundary measurements , 1988 .
[8] Giovanni Alessandrini,et al. Singular solutions of elliptic equations and the determination of conductivity by boundary measurements , 1990 .
[9] E. Reich. Quasiconformal mappings of the disk with given boundary values , 1976 .
[10] W. F. Tinney,et al. On computing certain elements of the inverse of a sparse matrix , 1975, Commun. ACM.
[11] D. Dobson,et al. An image-enhancement technique for electrical impedance tomography , 1994 .
[12] Juan Antonio Barceló,et al. Stability of the Inverse Conductivity Problem in the Plane for Less Regular Conductivities , 2001 .
[13] Robert V. Kohn,et al. Determining conductivity by boundary measurements , 1984 .
[14] A. Nachman,et al. Reconstructions from boundary measurements , 1988 .
[15] MATTI LASSAS,et al. Calderóns' Inverse Problem for Anisotropic Conductivity in the Plane , 2004 .
[16] Jenn-Nan Wang,et al. Stability estimates for the inverse boundary value problem by partial Cauchy data , 2006 .
[17] Alberto Ruiz,et al. Stability of Calderón inverse conductivity problem in the plane , 2007 .
[18] Liliana Borcea,et al. INVERSE PROBLEMS PII: S0266-5611(02)33630-X Optimal finite difference grids for direct and inverse Sturm–Liouville problems , 2002 .
[19] David C. Dobson,et al. Convergence of a reconstruction method for the inverse conductivity problem , 1992 .
[20] J C Newell,et al. Reconstruction of conductivity changes due to ventilation and perfusion from EIT data collected on a rectangular electrode array. , 2001, Physiological measurement.
[21] Robert V. Kohn,et al. Numerical implementation of a variational method for electrical impedance tomography , 1990 .
[22] E. Curtis,et al. Inverse Problems for Electrical Networks , 2000 .
[23] G. Uhlmann,et al. The Calderón problem with partial data , 2004, math/0405486.
[24] Kari Astala,et al. Calderon's inverse conductivity problem in the plane , 2006 .
[25] Murthy N. Guddati,et al. On Optimal Finite-Difference Approximation of PML , 2003, SIAM J. Numer. Anal..
[26] J. Berryman. Weighted least-squares criteria for seismic traveltime tomography , 1989 .
[27] F. G. Vasquez. On the parameterization of ill-posed inverse problems arising from elliptic partial differential equations , 2006 .
[28] A. Nachman,et al. Global uniqueness for a two-dimensional inverse boundary value problem , 1996 .
[29] Liliana Borcea,et al. On the continuum limit of a discrete inverse spectral problem on optimal finite difference grids , 2005 .
[30] David V. Ingerman,et al. Discrete and Continuous Dirichlet-to-Neumann Maps in the Layered Case , 2000, SIAM J. Math. Anal..
[31] David Isaacson,et al. A direct reconstruction algorithm for electrical impedance tomography , 2002, IEEE Transactions on Medical Imaging.
[32] R. Kohn,et al. Determining conductivity by boundary measurements II. Interior results , 1985 .
[33] David V. Ingerman,et al. On a characterization of the kernel of the Dirichlet-to-Neumann map for a planar region , 1998 .
[34] Liliana Borcea. A nonlinear multigrid for imaging electrical conductivity and permittivity at low frequency , 2001 .
[35] K. Strebel. Extremal quasiconformal polygon mappings for arbitrary subdomains of compact Riemann surfaces , 2002 .
[36] Liliana Borcea,et al. Pyramidal resistor networks for electrical impedance tomography with partial boundary measurements , 2010 .
[37] Y. C. Verdière,et al. Reseaux électriques planaires II , 1994 .
[38] Sun Wei-ling,et al. Progress on Electrical Impedance Tomography , 2007 .
[39] D. Isaacson,et al. An implementation of the reconstruction algorithm of A Nachman for the 2D inverse conductivity problem , 2000 .
[40] B. M. Levitan,et al. Inverse Sturm-Liouville Problems , 1987 .
[41] G. Uhlmann,et al. RECOVERING A POTENTIAL FROM PARTIAL CAUCHY DATA , 2002 .
[42] Michael Vogelius,et al. A backprojection algorithm for electrical impedance imaging , 1990 .
[43] I. Duff,et al. Direct Methods for Sparse Matrices , 1987 .
[44] Gunther Uhlmann,et al. Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions , 1997 .
[45] G. Golub,et al. Structured inverse eigenvalue problems , 2002, Acta Numerica.
[46] David Isaacson,et al. Exact solutions to a linearized inverse boundary value problem , 1990 .
[47] A. N. Tikhonov,et al. Solutions of ill-posed problems , 1977 .
[48] Niculae Mandache,et al. Exponential instability in an inverse problem for the Schrodinger equation , 2001 .
[49] D. Isaacson,et al. A reconstruction algorithm for electrical impedance tomography data collected on rectangular electrode arrays , 1999, IEEE Transactions on Biomedical Engineering.
[50] Robert M. Gray,et al. Toeplitz and Circulant Matrices: A Review , 2005, Found. Trends Commun. Inf. Theory.
[51] A. N. Tikhonov,et al. REGULARIZATION OF INCORRECTLY POSED PROBLEMS , 1963 .
[52] พงศ์ศักดิ์ บินสมประสงค์,et al. FORMATION OF A SPARSE BUS IMPEDANCE MATRIX AND ITS APPLICATION TO SHORT CIRCUIT STUDY , 1980 .
[53] Liliana Borcea,et al. Electrical impedance tomography with resistor networks , 2008 .
[54] David Isaacson,et al. Effects of measurement precision and finite numbers of electrodes on linear impedance imaging algorithms , 1991 .
[55] John Sylvester,et al. An anisotropic inverse boundary value problem , 1990 .
[56] J. Sylvester,et al. A global uniqueness theorem for an inverse boundary value problem , 1987 .
[57] James A. Morrow,et al. Circular planar graphs and resistor networks , 1998 .
[58] G. Papanicolaou,et al. High-contrast impedance tomography , 1996 .
[59] James A. Morrow,et al. Finding the conductors in circular networks from boundary measurements , 1994 .