메뉴 건너뛰기




Volumn 16, Issue 5, 2000, Pages 1487-1522

Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography

Author keywords

[No Author keywords available]

Indexed keywords

DECISION THEORY; ELECTRIC CONDUCTIVITY MEASUREMENT; ELECTRIC CURRENTS; ELECTRODES; INTEGRATION; INVERSE PROBLEMS; LINEARIZATION; MARKOV PROCESSES; MONTE CARLO METHODS; VOLTAGE MEASUREMENT;

EID: 0034292512     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/16/5/321     Document Type: Article
Times cited : (320)

References (80)
  • 1
    • 0030126713 scopus 로고    scopus 로고
    • Electrical impedance tomography: Regularized imaging and contrast detection
    • Adler A and Guardo R 1996 Electrical impedance tomography: regularized imaging and contrast detection IEEE Trans. Med. Imaging 15 170-79
    • (1996) IEEE Trans. Med. Imaging , vol.15 , pp. 170-179
    • Adler, A.1    Guardo, R.2
  • 2
    • 0032622871 scopus 로고    scopus 로고
    • Stable determination of a crack in a planar inhomogeneous conductor
    • Alessandrini G and Rondi L 1998 Stable determination of a crack in a planar inhomogeneous conductor SIAM J. Math. Anal. 30 326-40
    • (1998) SIAM J. Math. Anal. , vol.30 , pp. 326-340
    • Alessandrini, G.1    Rondi, L.2
  • 3
    • 0032638277 scopus 로고    scopus 로고
    • Optical tomography in medical imaging
    • Arridge S 1999 Optical tomography in medical imaging Inverse Problems 15 R41-93
    • (1999) Inverse Problems , vol.15
    • Arridge, S.1
  • 5
    • 0021844045 scopus 로고
    • Applied potential tomography: Possible clinical applications
    • Brown B, Barber D and Seagar A 1985 Applied potential tomography: possible clinical applications Clin. Phys. Physiol. Meas. 6 109-21
    • (1985) Clin. Phys. Physiol. Meas. , vol.6 , pp. 109-121
    • Brown, B.1    Barber, D.2    Seagar, A.3
  • 6
    • 0031240175 scopus 로고    scopus 로고
    • Regularized reconstruction in electrical impedance tomography using a variance uniformization constraint
    • Cohen-Bacrie Y G C and Guardo R 1997 Regularized reconstruction in electrical impedance tomography using a variance uniformization constraint IEEE Trans. Med. Imaging 16 562-71
    • (1997) IEEE Trans. Med. Imaging , vol.16 , pp. 562-571
    • Cohen-Bacrie, Y.G.C.1    Guardo, R.2
  • 10
    • 0000920086 scopus 로고
    • On Fréchet differentiability of some nonlinear operators accurring in inverse problems: An implicit function theorem approach
    • Connolly T and Wall D 1990 On Fréchet differentiability of some nonlinear operators accurring in inverse problems: an implicit function theorem approach Inverse Problems 6 949-66
    • (1990) Inverse Problems , vol.6 , pp. 949-966
    • Connolly, T.1    Wall, D.2
  • 11
    • 0030539336 scopus 로고    scopus 로고
    • Markov chain Monte Carlo diagnostics: A comparative review
    • Cowles M and Carlin B 1996 Markov chain Monte Carlo diagnostics: a comparative review J. Am. Stat. Assoc. 91 883-904
    • (1996) J. Am. Stat. Assoc. , vol.91 , pp. 883-904
    • Cowles, M.1    Carlin, B.2
  • 12
    • 0030105824 scopus 로고    scopus 로고
    • Electrical resistance tomography for process tomography
    • Dickin F and Wang M 1996 Electrical resistance tomography for process tomography Meas. Sci. Technol. 7 247-60
    • (1996) Meas. Sci. Technol. , vol.7 , pp. 247-260
    • Dickin, F.1    Wang, M.2
  • 14
    • 0001341095 scopus 로고
    • An image enhancement technique for electrical impedance tomography
    • Dobson D and Santosa F 1994 An image enhancement technique for electrical impedance tomography Inverse Problems 10 317-34
    • (1994) Inverse Problems , vol.10 , pp. 317-334
    • Dobson, D.1    Santosa, F.2
  • 16
    • 0027979908 scopus 로고
    • Estimation of tissue resistivities from multiple-electrode impedance measurements
    • Eyüboglu B, Pilkington T and Wolf P 1994 Estimation of tissue resistivities from multiple-electrode impedance measurements Phys. Med. Biol. 39 1-17
    • (1994) Phys. Med. Biol. , vol.39 , pp. 1-17
    • Eyüboglu, B.1    Pilkington, T.2    Wolf, P.3
  • 19
    • 0040784365 scopus 로고    scopus 로고
    • Efficient solution of boundary value problems for image reconstruction via sampling
    • at press
    • Fox C, Nicholls G and Palm M 2000 Efficient solution of boundary value problems for image reconstruction via sampling J. Electron. Imaging at press
    • (2000) J. Electron. Imaging
    • Fox, C.1    Nicholls, G.2    Palm, M.3
  • 20
    • 0033181291 scopus 로고    scopus 로고
    • Thoracic electrical impedance tomographic measurements during volume controlled ventilation-effects of tidal volume and positive end-expiratory pressure
    • Frerichs I, Hahn G and Hellige G 2000 Thoracic electrical impedance tomographic measurements during volume controlled ventilation-effects of tidal volume and positive end-expiratory pressure IEEE Trans. Med. Imaging 18 764-73
    • (2000) IEEE Trans. Med. Imaging , vol.18 , pp. 764-773
    • Frerichs, I.1    Hahn, G.2    Hellige, G.3
  • 21
    • 0000335616 scopus 로고
    • Determining cracks by boundary measurements
    • Friedman A and Vogelius M 1989 Determining cracks by boundary measurements Indiana Univ. Math. J. 38 527-56
    • (1989) Indiana Univ. Math. J. , vol.38 , pp. 527-556
    • Friedman, A.1    Vogelius, M.2
  • 22
    • 84950453304 scopus 로고
    • Sampling based approaches to calculating marginal densities
    • Gelfand A E and Smith AFM 1990 Sampling based approaches to calculating marginal densities J. Am. Stat. Assoc. 85 398-409
    • (1990) J. Am. Stat. Assoc. , vol.85 , pp. 398-409
    • Gelfand, A.E.1    Smith, A.F.M.2
  • 23
    • 0021518209 scopus 로고
    • Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images
    • Geman S and Geman D 1984 Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images IEEE Trans. Pattern Anal. Mach. Intell. 6 721-41
    • (1984) IEEE Trans. Pattern Anal. Mach. Intell. , vol.6 , pp. 721-741
    • Geman, S.1    Geman, D.2
  • 26
    • 0029375966 scopus 로고
    • Anatomically constrained electrical impedance tomography for anisotropic bodies via a two-step approach
    • Glidewell M and Ng K 1995 Anatomically constrained electrical impedance tomography for anisotropic bodies via a two-step approach IEEE Trans. Med. Imaging 14 498-503
    • (1995) IEEE Trans. Med. Imaging , vol.14 , pp. 498-503
    • Glidewell, M.1    Ng, K.2
  • 27
    • 0031240178 scopus 로고    scopus 로고
    • Anatomically constrained electrical impedance tomography for three dimensional anisotropic bodies
    • Glidewell M and Ng K 1997 Anatomically constrained electrical impedance tomography for three dimensional anisotropic bodies IEEE Trans. Med. Imaging 16 572-80
    • (1997) IEEE Trans. Med. Imaging , vol.16 , pp. 572-580
    • Glidewell, M.1    Ng, K.2
  • 29
    • 0033436531 scopus 로고    scopus 로고
    • Adaptive proposal distribution for random walk Metropolis algorithm
    • Haario H, Saksman E and Tamminen J 1999 Adaptive proposal distribution for random walk Metropolis algorithm Comput. Stat. 14 375-95
    • (1999) Comput. Stat. , vol.14 , pp. 375-395
    • Haario, H.1    Saksman, E.2    Tamminen, J.3
  • 31
    • 0001273835 scopus 로고
    • Regularization methods for large-scale problems
    • Hanke M and Hansen P 1993 Regularization methods for large-scale problems Surv. Math. Ind. 3 253-315
    • (1993) Surv. Math. Ind. , vol.3 , pp. 253-315
    • Hanke, M.1    Hansen, P.2
  • 32
    • 0000570697 scopus 로고
    • Analysis of discrete ill-posed problems by means of the L-curve
    • Hansen P 1992 Analysis of discrete ill-posed problems by means of the L-curve SIAM Rev. 34 561-80
    • (1992) SIAM Rev. , vol.34 , pp. 561-580
    • Hansen, P.1
  • 33
    • 77956890234 scopus 로고
    • Monte Carlo sampling methods using Markov chains and their applications
    • Hastings W K 1970 Monte Carlo sampling methods using Markov chains and their applications Biometrika 57 97-109
    • (1970) Biometrika , vol.57 , pp. 97-109
    • Hastings, W.K.1
  • 34
    • 0026407127 scopus 로고
    • Iterative reconstruction methods using regularization and optimal current patterns in electrical impedance tomography
    • Hua P, Woo E, Webster J and Tompkins W 1991 Iterative reconstruction methods using regularization and optimal current patterns in electrical impedance tomography IEEE Trans. Med. Imaging 10 621-8
    • (1991) IEEE Trans. Med. Imaging , vol.10 , pp. 621-628
    • Hua, P.1    Woo, E.2    Webster, J.3    Tompkins, W.4
  • 36
    • 4243623904 scopus 로고    scopus 로고
    • Impedance imaging and electrode models inverse problems in medical imaging and nondestructive testing
    • ed H W Engl, A K Louis and W Rundell (New York: Springer)
    • Järvenpää S and Somersalo E 1997 Impedance imaging and electrode models inverse problems in medical imaging and nondestructive testing Proc. Conf. in Oberwolfach (Federal Republic of Germany, Feb. 1996) ed H W Engl, A K Louis and W Rundell (New York: Springer)
    • (1997) Proc. Conf. in Oberwolfach (Federal Republic of Germany, Feb. 1996)
    • Järvenpää, S.1    Somersalo, E.2
  • 41
    • 0030730753 scopus 로고    scopus 로고
    • Assessment of errors in static electrical impedance tomography with adjacent and trigonometric current patterns
    • Kolehmainen V, Vauhkonen M. Karjalainen P and Kaipio J 1997 Assessment of errors in static electrical impedance tomography with adjacent and trigonometric current patterns Physiol. Meus. 18 289-303
    • (1997) Physiol. Meus. , vol.18 , pp. 289-303
    • Kolehmainen, V.1    Vauhkonen, M.2    Karjalainen, P.3    Kaipio, J.4
  • 42
    • 0031791107 scopus 로고    scopus 로고
    • Ventilation and perfusion imaging by electrical impedance tomography: A comparison with radionuclide scanning
    • Kunst P W A, Noordegraaf A V, Hoekstra O S, Postmus P E and de Vries P M J 1998 Ventilation and perfusion imaging by electrical impedance tomography: a comparison with radionuclide scanning Physiol. Meas. 19 481-90
    • (1998) Physiol. Meas. , vol.19 , pp. 481-490
    • Kunst, P.W.A.1    Noordegraaf A. V2    Hoekstra, O.S.3    Postmus, P.E.4    De Vries, P.M.J.5
  • 45
  • 47
    • 0001595602 scopus 로고    scopus 로고
    • Comparisons of parameter choice methods for regularization with discrete noisy data
    • Lukas M 1998 Comparisons of parameter choice methods for regularization with discrete noisy data Inverse Problems 14 161-84
    • (1998) Inverse Problems , vol.14 , pp. 161-184
    • Lukas, M.1
  • 50
    • 0031384465 scopus 로고    scopus 로고
    • A FEM based nonlinear MAP estimator in electrical impedance tomography
    • Martin T and Idier J 1997 A FEM based nonlinear MAP estimator in electrical impedance tomography Proc. IEEE ICIP'97
    • (1997) Proc. IEEE ICIP'97
    • Martin, T.1    Idier, J.2
  • 52
    • 0000462567 scopus 로고    scopus 로고
    • Resolution analysis of general inverse problems through inverse monte carlo sampling
    • Mosegaard K 1998 Resolution analysis of general inverse problems through inverse monte carlo sampling Inverse Problems 14 405-26
    • (1998) Inverse Problems , vol.14 , pp. 405-426
    • Mosegaard, K.1
  • 53
    • 0000706996 scopus 로고    scopus 로고
    • Probabilistic analysis of implicit inverse problems
    • Mosegaard K and Rygaard-Hjalsted C 1999 Probabilistic analysis of implicit inverse problems Inverse Problems 15 573-83
    • (1999) Inverse Problems , vol.15 , pp. 573-583
    • Mosegaard, K.1    Rygaard-Hjalsted, C.2
  • 54
    • 0029481451 scopus 로고
    • Monte Carlo sampling of solutions to inverse problems
    • Mosegaard K and Tarantola A 1995 Monte Carlo sampling of solutions to inverse problems J. Geophys. Res. B 14 12431-47
    • (1995) J. Geophys. Res. B , vol.14 , pp. 12431-12447
    • Mosegaard, K.1    Tarantola, A.2
  • 55
    • 0032729509 scopus 로고    scopus 로고
    • A reconstruction algorithm for electrical impedance tomography data collected on rectangular electrode arrays
    • Mueller J, Isaacson D and Newell J 1999 A reconstruction algorithm for electrical impedance tomography data collected on rectangular electrode arrays IEEE Trans. Biomed. Eng. 46 1379-86
    • (1999) IEEE Trans. Biomed. Eng. , vol.46 , pp. 1379-1386
    • Mueller, J.1    Isaacson, D.2    Newell, J.3
  • 57
    • 57649124200 scopus 로고    scopus 로고
    • Prior modelling and posterior sampling in impedance imaging
    • ed A Mohammad-Djafari (Bellingham, WA: SPIE Optical Engineering Press)
    • Nicholls G K and Fox C 1998 Prior modelling and posterior sampling in impedance imaging Bayesian Inference for Inverse Problems (Proc. SPIE vol 3459) ed A Mohammad-Djafari (Bellingham, WA: SPIE Optical Engineering Press) pp 116-27
    • (1998) Bayesian Inference for Inverse Problems (Proc. SPIE Vol 3459) , vol.3459 , pp. 116-127
    • Nicholls, G.K.1    Fox, C.2
  • 60
    • 0003003643 scopus 로고    scopus 로고
    • Method of imaging corrosion damage in thin plates from electrostatic data
    • Kaup FSPG and Vogelius M 1996 Method of imaging corrosion damage in thin plates from electrostatic data Inverse Problems 12 279-93
    • (1996) Inverse Problems , vol.12 , pp. 279-293
    • Kaup, F.S.P.G.1    Vogelius, M.2
  • 61
    • 0026909933 scopus 로고
    • Electrode modelling in electrical impedance tomography
    • Paulson K, Breckon W and Pidcock M 1992 Electrode modelling in electrical impedance tomography SIAM J. Appl. Math. 52 1012-22
    • (1992) SIAM J. Appl. Math. , vol.52 , pp. 1012-1022
    • Paulson, K.1    Breckon, W.2    Pidcock, M.3
  • 62
    • 0031098326 scopus 로고    scopus 로고
    • Smoothness-constrained inversion for two-dimensional electrical resistance tomography
    • Pinheiro P A T, Loh W W and Dickin F J 1997 Smoothness-constrained inversion for two-dimensional electrical resistance tomography Meas. Sci. Technol. 8 293-302
    • (1997) Meas. Sci. Technol. , vol.8 , pp. 293-302
    • Pinheiro, P.A.T.1    Loh, W.W.2    Dickin, F.J.3
  • 63
    • 0039447792 scopus 로고    scopus 로고
    • On a posteriori parameter choice strategy for Tikhonov regularization of nonlinear ill-posed problems
    • Qi-nian J and Zong-yi H 1999 On a posteriori parameter choice strategy for Tikhonov regularization of nonlinear ill-posed problems Numer. Math. 83 139-59
    • (1999) Numer. Math. , vol.83 , pp. 139-159
    • Qi-Nian, J.1    Zong-Yi, H.2
  • 65
    • 43949153069 scopus 로고
    • Simple conditions for the convergence of the Gibbs sampler and Metropolis-Hastings algorithms
    • Roberts G O and Smith A F M 1994 Simple conditions for the convergence of the Gibbs sampler and Metropolis-Hastings algorithms Stoch. Processes. Appl. 49 207-16
    • (1994) Stoch. Processes. Appl. , vol.49 , pp. 207-216
    • Roberts, G.O.1    Smith, A.F.M.2
  • 67
    • 0003053548 scopus 로고
    • Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods
    • Smith A F M and Roberts G O 1993 Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods J. R. Stat. Soc. B 55 3-23
    • (1993) J. R. Stat. Soc. B , vol.55 , pp. 3-23
    • Smith, A.F.M.1    Roberts, G.O.2
  • 68
    • 0026907944 scopus 로고
    • Existence and uniqueness for electrode models for electric current computed tomography
    • 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
    • (1992) SIAM J. Appl. Math. , vol.52 , pp. 1023-1040
    • Somersalo, E.1    Cheney, M.2    Isaacson, D.3
  • 70
    • 0003929280 scopus 로고    scopus 로고
    • MCMC methods for inverse problems
    • Finnish Meteorological Institute
    • Tamminen J 1999 MCMC methods for inverse problems Geophysical Publications vol 49 Finnish Meteorological Institute
    • (1999) Geophysical Publications , vol.49
    • Tamminen, J.1
  • 72
    • 0019910307 scopus 로고
    • Inverse problems = quest for information
    • Tarantola A and Valette B 1982 Inverse problems = quest for information J. Geophys. 159-70
    • (1982) J. Geophys. , pp. 159-170
    • Tarantola, A.1    Valette, B.2
  • 73
    • 0013298158 scopus 로고    scopus 로고
    • The use of monotonicity for choosing the regularization parameter in ill-posed problems
    • Tautenhahn U and Hämarik U 1999 The use of monotonicity for choosing the regularization parameter in ill-posed problems Inverse Problems 15 1487-505
    • (1999) Inverse Problems , vol.15 , pp. 1487-1505
    • Tautenhahn, U.1    Hämarik, U.2
  • 74
    • 0000576595 scopus 로고
    • Markov chains for exploring posterior distributions
    • Tierney L 1994 Markov chains for exploring posterior distributions Ann. Stat. 22 1701-62
    • (1994) Ann. Stat. , vol.22 , pp. 1701-1762
    • Tierney, L.1
  • 79
    • 0026890029 scopus 로고
    • Measuring lung resistivity using electrical impedance tomography
    • Woo E, Hua P, Webster J and Tompkins W 1992 Measuring lung resistivity using electrical impedance tomography IEEE Trans. Biomed. Eng. 39 756-60
    • (1992) IEEE Trans. Biomed. Eng. , vol.39 , pp. 756-760
    • Woo, E.1    Hua, P.2    Webster, J.3    Tompkins, W.4
  • 80
    • 0027611152 scopus 로고
    • A robust image reconstruction algorithm and its parallel implementation in electrical impedance tomography
    • P H J
    • Woo E, P H J, Webster G and Tompkins W 1993 A robust image reconstruction algorithm and its parallel implementation in electrical impedance tomography IEEE Trans. Med. Imaging 12 137-46
    • (1993) IEEE Trans. Med. Imaging , vol.12 , pp. 137-146
    • Woo, E.1    Webster, G.2    Tompkins, W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.