메뉴 건너뛰기




Volumn 27, Issue 6, 2011, Pages

Electrical impedance tomography in anisotropic media with known eigenvectors

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPIC CONDUCTIVITY; BOUNDARY DATA; BOUNDARY MEASUREMENTS; CONDUCTIVITY DISTRIBUTIONS; CONDUCTIVITY TENSORS; DIFFEOMORPHISMS; EIGEN-VALUE; EIGENVALUES; EIGENVECTORS; ELECTRICAL CURRENT; ELECTRICAL IMPEDANCE TOMOGRAPHY; HUMAN TISSUES; IMAGING METHOD; JACOBIANS; LAYERED STRUCTURES; MEASURING BOUNDARIES; NON-INVASIVE; NONUNIQUENESS; NUMERICAL STUDIES; PIECEWISE LINEAR; SIMULATED DISTRIBUTION; SINUSOIDAL FUNCTIONS; THEORETICAL RESULT; THEORETICAL STUDY; VOLUMETRIC IMAGES; WHITE MATTER;

EID: 79957943211     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/27/6/065004     Document Type: Article
Times cited : (22)

References (50)
  • 1
    • 53249090068 scopus 로고    scopus 로고
    • Use of anisotropic modelling in electrical impedance tomography; Description of method and preliminary assessment of utility in imaging brain function in the adult human head
    • Abascal J F P-J, Arridge S R, Atkinson D, Horesh R, Fabrizi L, De Lucia M, Horesh L, Bayford R H and Holder D S 2008 Use of anisotropic modelling in electrical impedance tomography; description of method and preliminary assessment of utility in imaging brain function in the adult human head Neuroimage 43 258-68
    • (2008) Neuroimage , vol.43 , Issue.2 , pp. 258-268
    • Abascal, J.F.P.-J.1    Arridge, S.R.2    Atkinson, D.3    Horesh, R.4    Fabrizi, L.5    De Lucia, M.6    Horesh, L.7    Bayford, R.H.8    Holder, D.S.9
  • 2
    • 34447108772 scopus 로고    scopus 로고
    • Validation of a finite element solution for electrical impedance tomography in an anisotropic medium
    • Abascal J F P-J, Arridge S R, Lionheart W R B, Bayford R H and Holder D S 2007 Validation of a finite element solution for electrical impedance tomography in an anisotropic medium Physiol. Meas. 28 S129-40
    • (2007) Physiol. Meas. , vol.28 , Issue.7
    • Abascal, J.F.P.-J.1    Arridge, S.R.2    Lionheart, W.R.B.3    Bayford, R.H.4    Holder, D.S.5
  • 3
    • 34447103082 scopus 로고    scopus 로고
    • Rank analysis of the anisotropic inverse conductivity problem
    • (Gdansk, Poland)
    • Abascal J F P-J and Lionheart W R B 2004 Rank analysis of the anisotropic inverse conductivity problem Proc. ICEBI XII-EIT V (Gdansk, Poland) pp 511-14
    • (2004) Proc. ICEBI XII-EIT v , pp. 511-514
    • Abascal, J.F.P.-J.1    Lionheart, W.R.B.2
  • 4
    • 70149113909 scopus 로고    scopus 로고
    • GREIT: A unified approach to 2D linear EIT reconstruction of lung images
    • Adler A et al 2009 GREIT: a unified approach to 2D linear EIT reconstruction of lung images Physiol. Meas. 30 S35-55
    • (2009) Physiol. Meas. , vol.30 , Issue.6
    • Adler, A.1
  • 5
    • 0035527619 scopus 로고    scopus 로고
    • Determining conductivity with special anisotropy by boundary measurements
    • Alessandrini G and Gaburro R 2001 Determining conductivity with special anisotropy by boundary measurements SIAM J. Math. Anal. 33 153-71
    • (2001) SIAM J. Math. Anal. , vol.33 , Issue.1 , pp. 153-171
    • Alessandrini, G.1    Gaburro, R.2
  • 7
    • 62249200419 scopus 로고    scopus 로고
    • Principles of electrical impedance tomography and its clinical application
    • Bodenstein M, Davida M and Markstaller K 2009 Principles of electrical impedance tomography and its clinical application Crit. Care Med. 37 713-24
    • (2009) Crit. Care Med. , vol.37 , Issue.2 , pp. 713-724
    • Bodenstein, M.1    Davida, M.2    Markstaller, K.3
  • 8
    • 0036904346 scopus 로고    scopus 로고
    • Electrical impedance tomography
    • Borcea L 2002 Electrical impedance tomography Inverse Problems 18 R99-R136
    • (2002) Inverse Problems , vol.18 , Issue.6
    • Borcea, L.1
  • 9
    • 0003854283 scopus 로고    scopus 로고
    • (Cambridge: Cambridge University Press)
    • Braess D 1997 Finite Elements (Cambridge: Cambridge University Press)
    • (1997) Finite Elements
    • Braess, D.1
  • 10
    • 0002621641 scopus 로고    scopus 로고
    • Electrical impedance tomography
    • PII S0036144598333613
    • Cheney M, Isaacson D and Newell J C 1999 Electrical impedance tomography SIAM Rev. 41 85-101 (Pubitemid 129723749)
    • (1999) SIAM Review , vol.41 , Issue.1 , pp. 85-101
    • Cheney, M.1    Isaacson, D.2    Newell, J.C.3
  • 11
    • 0025448414 scopus 로고
    • Determining the resistors in a network
    • Curtis E B and Morrow J A 1990 Determining the resistors in a network SIAM J. Appl. Math. 50 918-30
    • (1990) SIAM J. Appl. Math. , vol.50 , Issue.3 , pp. 918-930
    • Curtis, E.B.1    Morrow, J.A.2
  • 12
    • 0026204871 scopus 로고
    • The Dirichlet to Neumann map for a resistor network
    • Curtis E B and Morrow J A 1991 The Dirichlet to Neumann map for a resistor network SIAM J. Appl. Math. 51 1011-29
    • (1991) SIAM J. Appl. Math. , vol.51 , Issue.4 , pp. 1011-1029
    • Curtis, E.B.1    Morrow, J.A.2
  • 14
    • 84972555301 scopus 로고
    • Existence of elastic deformations with prescribed principal strains and triply orthogonal systems
    • 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
    • (1984) Duke Math. J. , vol.51 , Issue.2 , pp. 243-260
    • Deturck, D.M.1    Yang, D.2
  • 15
    • 0019728229 scopus 로고
    • Analysis of electrical conductivity imaging
    • Dines K A and Lytle R J 1981 Analysis of electrical conductivity imaging Geophysics 46 1025-36
    • (1981) Geophysics , vol.46 , Issue.7 , pp. 1025-1036
    • Dines, K.A.1    Lytle, R.J.2
  • 16
    • 84985351683 scopus 로고
    • Rules governing the numbers of nodes and elements in a finite element mesh
    • Ewing D J F, Fawkes A J and Griffiths J R 1970 Rules governing the numbers of nodes and elements in a finite element mesh Int. J. Numer. Methods Eng. 2 597-600
    • (1970) Int. J. Numer. Methods Eng. , vol.2 , Issue.4 , pp. 597-600
    • Ewing, D.J.F.1    Fawkes, A.J.2    Griffiths, J.R.3
  • 17
    • 33745120842 scopus 로고    scopus 로고
    • Factors limiting the application of electrical impedance tomography for identification of regional conductivity changes using scalp electrodes during epileptic seizures in humans
    • Fabrizi L, Sparkes M, Horesh L, Abascal J F P-J, McEwan A, Bayford R H, Elwes R, Binnie C D and Holder D S 2006 Factors limiting the application of electrical impedance tomography for identification of regional conductivity changes using scalp electrodes during epileptic seizures in humans Physiol. Meas. 27 S163-74
    • (2006) Physiol. Meas. , vol.27 , Issue.5
    • Fabrizi, L.1    Sparkes, M.2    Horesh, L.3    Abascal, J.F.P.-J.4    McEwan, A.5    Bayford, R.H.6    Elwes, R.7    Binnie, C.D.8    Holder, D.S.9
  • 18
    • 79957948198 scopus 로고    scopus 로고
    • Gaburro R 2003 Anisotropic conductivity inverse boundary value problems PhD Thesis The University of Manchester
    • (2003) PhD Thesis
    • Gaburro, R.1
  • 19
    • 0029375966 scopus 로고
    • Anatomically constrained electrical-impedance tomography for anisotropic bodies via a two-step approach
    • Glidewell M and Ng K T 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 , Issue.3 , pp. 498-503
    • Glidewell, M.1    Ng, K.T.2
  • 20
    • 0031240178 scopus 로고    scopus 로고
    • Anatomically constrained electrical impedance tomography for three-dimensional anisotropic bodies
    • PII S0278006297075836
    • Glidewell M and Ng K T 1997 Anatomically constrained electrical impedance tomography for three-dimensional anisotropic bodies IEEE Trans. Med. Imaging 16 572-80 (Pubitemid 127767635)
    • (1997) IEEE Transactions on Medical Imaging , vol.16 , Issue.5 , pp. 572-580
    • Glidewell, M.E.1
  • 21
    • 13544251662 scopus 로고    scopus 로고
    • Compensation for geometric mismodelling by anisotropies in optical tomography
    • DOI 10.1364/OPEX.13.000296
    • Heino J, Somersalo E and Kaipio J P 2005 Compensation for geometric mismodelling by anisotropies in optical tomography Optics Express 13 296-308 (Pubitemid 40224979)
    • (2005) Optics Express , vol.13 , Issue.1 , pp. 296-308
    • Heino, J.1    Somersalo, E.2    Kaipio, J.P.3
  • 24
    • 84966233626 scopus 로고
    • Comment on Calderón's paper: On an inverse boundary value problem
    • Isaacson D and Isaacson E L 1989 Comment on Calderón's paper: on an inverse boundary value problem Math. Comp. 52 553-9
    • (1989) Math. Comp. , vol.52 , Issue.186 , pp. 553-559
    • Isaacson, D.1    Isaacson, E.L.2
  • 25
    • 0040817437 scopus 로고
    • Uniqueness and stability in multi-dimensional inverse problems
    • Isakov V 1993 Uniqueness and stability in multi-dimensional inverse problems Inverse Problems 9 579-621
    • (1993) Inverse Problems , vol.9 , Issue.6 , pp. 579-621
    • Isakov, V.1
  • 26
    • 33846495605 scopus 로고    scopus 로고
    • Anisotropic crosshole resistivity tomography for ground safety analysis of a high-storied building over an abandoned mine
    • DOI 10.2113/JEEG11.4.225
    • Kim J-H, Yi M-J, Cho S-J, Son J-S and Song W-K 2006 Anisotropic crosshole resistivity tomography for ground safety analysis of a high-storied building over an abandoned mine J. Environ. Eng. Geophys. 11 225-35 (Pubitemid 46159503)
    • (2006) Journal of Environmental and Engineering Geophysics , vol.11 , Issue.4 , pp. 225-235
    • Kim, J.-H.1    Yi, M.-J.2    Cho, S.-J.3    Son, J.-S.4    Song, W.-K.5
  • 27
    • 0037291599 scopus 로고    scopus 로고
    • Influence of conductivity tensors in the finite element model of the head on the forward solution on EEG
    • Kim S, Kim T-S, Zhou Y and Singh M 2003 Influence of conductivity tensors in the finite element model of the head on the forward solution on EEG IEEE Trans. Nucl. Sci. 50 133-9
    • (2003) IEEE Trans. Nucl. Sci. , vol.50 , Issue.1 , pp. 133-139
    • Kim, S.1    Kim, T.-S.2    Zhou, Y.3    Singh, M.4
  • 28
    • 84990583776 scopus 로고
    • Determining conductivity by boundary measurements
    • Kohn R V and Vogelius M 1984 Determining conductivity by boundary measurements Commum. Pure Appl. Math. 37 289-98
    • (1984) Commum. Pure Appl. Math. , vol.37 , Issue.3 , pp. 289-298
    • Kohn, R.V.1    Vogelius, M.2
  • 29
    • 84990557216 scopus 로고
    • Determining conductivity by boundary measurements II. Interior results
    • Kohn R V and Vogelius M 1985 Determining conductivity by boundary measurements II. Interior results Commum. Pure Appl. Math. 38 643-67
    • (1985) Commum. Pure Appl. Math. , vol.38 , Issue.5 , pp. 643-667
    • Kohn, R.V.1    Vogelius, M.2
  • 30
    • 33645778239 scopus 로고    scopus 로고
    • The inverse conductivity problem with an imperfectly known boundary
    • Kolehmainen V, Lassas M and Ola P 2005 The inverse conductivity problem with an imperfectly known boundary SIAM J. Appl. Math. 66 365-83
    • (2005) SIAM J. Appl. Math. , vol.66 , Issue.2 , pp. 365-383
    • Kolehmainen, V.1    Lassas, M.2    Ola, P.3
  • 31
    • 4043139315 scopus 로고    scopus 로고
    • The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary
    • Lassas M, Taylor M and Uhlmann G 2003 The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary Commun. Anal. Geom. 11 207-22
    • (2003) Commun. Anal. Geom. , vol.11 , pp. 207-222
    • Lassas, M.1    Taylor, M.2    Uhlmann, G.3
  • 32
    • 84990609931 scopus 로고
    • Determining anisotropic real-analytical conductivities by boundary measurements
    • Lee J M and Uhlmann G 1989 Determining anisotropic real-analytical conductivities by boundary measurements Commum. Pure Appl. Math. 42 1097-1112
    • (1989) Commum. Pure Appl. Math. , vol.42 , Issue.8 , pp. 1097-1112
    • Lee, J.M.1    Uhlmann, G.2
  • 33
    • 0000403477 scopus 로고    scopus 로고
    • Conformal uniqueness results in anisotropic electrical impedance imaging
    • Lionheart W R B 1997 Conformal uniqueness results in anisotropic electrical impedance imaging Inverse Problems 13 125-34 (Pubitemid 127549955)
    • (1997) Inverse Problems , vol.13 , Issue.1 , pp. 125-134
    • Lionheart, W.R.B.1
  • 34
    • 1342332826 scopus 로고    scopus 로고
    • EIT reconstruction algorithms: Pitfalls, challenges and recent developments
    • DOI 10.1088/0967-3334/25/1/021
    • Lionheart W R B 2004 EIT reconstruction algorithms: pitfalls, challenges and recent developments Physiol. Meas. 25 125-42 (Pubitemid 38252208)
    • (2004) Physiological Measurement , vol.25 , Issue.1 , pp. 125-142
    • Lionheart, W.R.B.1
  • 36
    • 13344262689 scopus 로고    scopus 로고
    • Three-dimensional electrical impedance tomography
    • DOI 10.1038/380509a0
    • Metherall P, Barber D C, Smallwood R H and Brown B H 1996 Three-dimensional electrical impedance tomography Nature 380 509-12 (Pubitemid 26110637)
    • (1996) Nature , vol.380 , Issue.6574 , pp. 509-512
    • Metherall, P.1    Barber, D.C.2    Smallwood, R.H.3    Brown, B.H.4
  • 37
    • 0001337167 scopus 로고
    • Theory of eddy current inversion
    • Norton S J and Bowler J R 1993 Theory of eddy current inversion J. Appl. Phys. 73 501-12
    • (1993) J. Appl. Phys. , vol.73 , Issue.2 , pp. 501-512
    • Norton, S.J.1    Bowler, J.R.2
  • 40
    • 0036994840 scopus 로고    scopus 로고
    • A Matlab toolkit for three-dimensional electrical impedance tomography: A contribution to the Electrical Impedance and Diffuse Optical Reconstruction Software project
    • DOI 10.1088/0957-0233/13/12/310, PII S0957023302358995
    • Polydorides N and Lionheart W R B 2002 A Matlab toolkit for three-dimensional electrical impedance tomography: a contribution to the electrical impedance and diffuse optical reconstruction software project Meas. Sci. Technol. 13 1871-83 (Pubitemid 36225159)
    • (2002) Measurement Science and Technology , vol.13 , Issue.12 , pp. 1871-1883
    • Polydorides, N.1    Lionheart, W.R.B.2
  • 41
    • 33745161508 scopus 로고    scopus 로고
    • Multi-frequency electrical impedance tomography (EIT) of the adult human head: Initial findings in brain tumours, arteriovenous malformations and chronic stroke, development of an analysis method and calibration
    • Romsauerova A, Ewan A M, Horesh L, Yerworth R, Bayford R H and Holder D S 2006 Multi-frequency electrical impedance tomography (EIT) of the adult human head: initial findings in brain tumours, arteriovenous malformations and chronic stroke, development of an analysis method and calibration Physiol. Meas. 27 S147-61
    • (2006) Physiol. Meas. , vol.27 , Issue.5
    • Romsauerova, A.1    Ewan, A.M.2    Horesh, L.3    Yerworth, R.4    Bayford, R.H.5    Holder, D.S.6
  • 43
    • 84880765336 scopus 로고    scopus 로고
    • NETGEN-an advancing front 2D/3D-mesh generator based on abstract rules
    • Schoberl J 1997 NETGEN-an advancing front 2D/3D-mesh generator based on abstract rules Comput. Visual. Sci. 1 41-52
    • (1997) Comput. Visual. Sci. , vol.1 , Issue.1 , pp. 41-52
    • Schoberl, J.1
  • 44
    • 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 (Pubitemid 23572888)
    • (1992) SIAM Journal on Applied Mathematics , vol.52 , Issue.4 , pp. 1023-1040
    • Somersalo Erkki1    Cheney Margaret2    Isaacson David3
  • 45
    • 0001110912 scopus 로고
    • A global uniqueness theorem for an inverse boundary value problem
    • Sylvester J and Uhlmann G 1987 A global uniqueness theorem for an inverse boundary value problem Ann. Math. 125 153-69
    • (1987) Ann. Math. , vol.125 , Issue.1 , pp. 153-169
    • Sylvester, J.1    Uhlmann, G.2
  • 46
    • 34447097438 scopus 로고    scopus 로고
    • Tuch D S 2002 Diffusion MRI of complex tissue structure PhD Thesis Massachusetts Institute of Technology, Massachusetts
    • (2002) PhD Thesis
    • Tuch, D.S.1
  • 49
    • 34447098122 scopus 로고    scopus 로고
    • Wolters C H 2003 Influence of tissue conductivity inhomogeneity and anisotropy on EEG/EMG based source localization in the human brain PhD Thesis University of Leipzig, Leipzig, Germany
    • (2003) PhD Thesis
    • Wolters, C.H.1
  • 50
    • 33645751551 scopus 로고    scopus 로고
    • Influence of tissue conductivity anisotropy on EEG/EMG field and return current computation in a realistic head model: A simulation and visualization study using high-resolution finite element modeling
    • Wolters C H, Anwander A, Tricoche X, Weinstein D, Koch M A and MacLeod R S 2006 Influence of tissue conductivity anisotropy on EEG/EMG field and return current computation in a realistic head model: A simulation and visualization study using high-resolution finite element modeling Neuroimage 30 813-26
    • (2006) Neuroimage , vol.30 , Issue.3 , pp. 813-826
    • Wolters, C.H.1    Anwander, A.2    Tricoche, X.3    Weinstein, D.4    Koch, M.A.5    MacLeod, R.S.6


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.