메뉴 건너뛰기




Volumn 23, Issue 6, 2007, Pages 2375-2400

A projection-based level-set approach to enhance conductivity anomaly reconstruction in electrical resistance tomography

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ELECTRIC RESISTANCE; INVERSE PROBLEMS; SENSITIVITY ANALYSIS; TOMOGRAPHY;

EID: 36749089673     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/23/6/007     Document Type: Article
Times cited : (30)

References (76)
  • 4
    • 0002621641 scopus 로고    scopus 로고
    • Electrical impedance tomography
    • Cheney M, Isaacson D and Newell J C 1999 Electrical impedance tomography SIAM Rev. 41 85-101
    • (1999) SIAM Rev. , vol.41 , Issue.1 , pp. 85-101
    • Cheney, M.1    Isaacson, D.2    Newell, J.C.3
  • 5
    • 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 1999 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
    • (1999) IEEE Trans. Med. Imaging , vol.18 , Issue.9 , pp. 764-773
    • Frerichs, I.1    Hahn, G.2    Hellige, G.3
  • 7
    • 0036591482 scopus 로고    scopus 로고
    • Regional lung perfusion as determined by electrical impedance tomography in comparison with electron beam CT imaging
    • Frerichs I, Hinz J, Herrmann P, Weisser G, Hahn G, Quintel M and Hellige G 2002 Regional lung perfusion as determined by electrical impedance tomography in comparison with electron beam CT imaging IEEE Trans. Med. Imaging 21 646-52
    • (2002) IEEE Trans. Med. Imaging , vol.21 , Issue.6 , pp. 646-652
    • Frerichs, I.1    Hinz, J.2    Herrmann, P.3    Weisser, G.4    Hahn, G.5    Quintel, M.6    Hellige, G.7
  • 9
    • 33947532625 scopus 로고    scopus 로고
    • A reconstruction algorithm for breast cancer imaging with electrical impedance tomography in mammography geometry
    • Choi M H, Kao T J, Isaacson D, Saulnier G J and Newell J C 2007 A reconstruction algorithm for breast cancer imaging with electrical impedance tomography in mammography geometry IEEE Trans. Biomed. Eng. 54 700-10
    • (2007) IEEE Trans. Biomed. Eng. , vol.54 , Issue.4 , pp. 700-710
    • Choi, M.H.1    Kao, T.J.2    Isaacson, D.3    Saulnier, G.J.4    Newell, J.C.5
  • 10
    • 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 , Issue.2 , pp. 326-340
    • Alessandrini, G.1    Rondi, L.2
  • 11
    • 0025725242 scopus 로고
    • A computational algorithm to determine cracks from electrostatic boundary measurements
    • Santosa F and Vogelius M S 1991 A computational algorithm to determine cracks from electrostatic boundary measurements Int. J. Eng. Sci. 29 917-38
    • (1991) Int. J. Eng. Sci. , vol.29 , Issue.8 , pp. 917-938
    • Santosa, F.1    Vogelius, M.S.2
  • 12
    • 0003003643 scopus 로고    scopus 로고
    • A method for imaging corrosion damage in thin plates from electrostatic data
    • Santosa F, Kaup P and Vogelius M S 1996 A method for imaging corrosion damage in thin plates from electrostatic data Inverse Problems 12 279-93
    • (1996) Inverse Problems , vol.12 , Issue.3 , pp. 279-293
    • Santosa, F.1    Kaup, P.2    Vogelius, M.S.3
  • 13
    • 0000932785 scopus 로고    scopus 로고
    • Identification of conductivity imperfections of small diameter by boundary measurements continuous dependence and computational reconstruction
    • 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
    • (1998) Inverse Problems , vol.14 , Issue.3 , pp. 553-595
    • Cedio-Fengya, D.J.1    Moskow, S.2    Vogelius, M.S.3
  • 14
    • 0019728229 scopus 로고
    • Analysis of electrical conductivity imaging
    • Dines K and Lytle R 1981 Analysis of electrical conductivity imaging Geophysics 46 1025-36
    • (1981) Geophysics , vol.46 , Issue.7 , pp. 1025-1036
    • Dines, K.1    Lytle, R.2
  • 15
    • 0021627434 scopus 로고
    • The problem of resistivity sounding
    • Parker R L 1984 The problem of resistivity sounding Geophysics 142 2143-58
    • (1984) Geophysics , vol.49 , Issue.12 , pp. 2143-2158
    • Parker, R.L.1
  • 17
    • 0029775674 scopus 로고    scopus 로고
    • DC resistivity and IP methods in acid mine drainage problems: Results from the Copper Cliff mine tailings impoundments
    • Yuval and Oldenburg D W 1996 DC resistivity and IP methods in acid mine drainage problems: results from the Copper Cliff mine tailings impoundments J. Appl. Geophys. 34 187-98
    • (1996) J. Appl. Geophys. , vol.34 , Issue.3 , pp. 187-198
    • Yuval1    Oldenburg, D.W.2
  • 18
    • 0034036998 scopus 로고    scopus 로고
    • Electrical imaging of engineered hydraulic barriers
    • Daily W and Ramirez A L 2000 Electrical imaging of engineered hydraulic barriers Geophysics 65 83-94
    • (2000) Geophysics , vol.65 , Issue.1 , pp. 83-94
    • Daily, W.1    Ramirez, A.L.2
  • 19
    • 33748067774 scopus 로고    scopus 로고
    • Cone-based electrical resistivity tomography
    • Pidlisecky A, Knight R and Haber E 2006 Cone-based electrical resistivity tomography Geophysics 71 G157-G167
    • (2006) Geophysics , vol.71 , Issue.4
    • Pidlisecky, A.1    Knight, R.2    Haber, E.3
  • 21
    • 84990583776 scopus 로고
    • Determining conductivity by boundary measurements
    • Kohn R V and Vogelius M 1984 Determining conductivity by boundary measurements Commun. Pure Appl. Math. 37 289-98
    • (1984) Commun. Pure Appl. Math. , vol.37 , Issue.3 , pp. 289-298
    • Kohn, R.V.1    Vogelius, M.2
  • 22
    • 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 Commun. Pure Appl. Math. 38 643-67
    • (1985) Commun. Pure Appl. Math. , vol.38 , Issue.5 , pp. 643-667
    • Kohn, R.V.1    Vogelius, M.2
  • 23
    • 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 ((2)) 153-69
    • (1987) Ann. Math. , vol.125 , Issue.1 , pp. 153-169
    • Sylvester, J.1    Uhlmann, G.2
  • 25
    • 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
  • 26
    • 0037861995 scopus 로고    scopus 로고
    • Electrical impedance tomography (EIT): A review
    • Brown B H 2003 Electrical impedance tomography (EIT): A review J. Med. Eng. Technol. 3 97-108
    • (2003) J. Med. Eng. Technol. , vol.3 , pp. 97-108
    • Brown, B.H.1
  • 27
    • 1342332826 scopus 로고    scopus 로고
    • EIT reconstruction algorithms: Pitfalls, challenges and recent developments
    • Lionheart W R 2004 EIT reconstruction algorithms: pitfalls, challenges and recent developments Physiol. Meas. 1 125-42
    • (2004) Physiol. Meas. , vol.1 , pp. 125-142
    • Lionheart, W.R.1
  • 28
    • 0001034522 scopus 로고
    • Recent developments in applied potential tomography-apt
    • Barber D C and Brown B H 1986 Recent developments in applied potential tomography-apt Information Processing in Medical Imaging ed S L Bacharach (Amsterdam: Nijhoff) pp 106-21
    • (1986) Information Processing in Medical Imaging , pp. 106-121
    • Barber, D.C.1    Brown, B.H.2
  • 29
    • 0025387295 scopus 로고
    • A backprojection algorithm for electrical impedance imaging
    • Santosa F and Vogelius M S 1990 A backprojection algorithm for electrical impedance imaging SIAM J. Appl. Math. 50 216-43
    • (1990) SIAM J. Appl. Math. , vol.50 , Issue.1 , pp. 216-243
    • Santosa, F.1    Vogelius, M.S.2
  • 30
    • 0036591474 scopus 로고    scopus 로고
    • Propagation of measurement noise through backprojection reconstruction in electrical impedance tomography
    • Frangi A F, Riu P J, Rosell J and Viergever M A 2002 Propagation of measurement noise through backprojection reconstruction in electrical impedance tomography IEEE Trans. Med. Imaging 21 566-78
    • (2002) IEEE Trans. Med. Imaging , vol.21 , Issue.6 , pp. 566-578
    • Frangi, A.F.1    Riu, P.J.2    Rosell, J.3    Viergever, M.A.4
  • 32
    • 0035078553 scopus 로고    scopus 로고
    • An image reconstruction algorithm for three-dimensional electrical impedance tomography
    • Le Hyaric A and Pidcock m K 2001 An image reconstruction algorithm for three-dimensional electrical impedance tomography IEEE Trans. Biomed. Eng. 48 230-5
    • (2001) IEEE Trans. Biomed. Eng. , vol.48 , Issue.2 , pp. 230-235
    • Le Hyaric, A.1    Pidcock, M.K.2
  • 33
    • 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. 50 931-41
    • (1990) SIAM J. Appl. Math. , vol.50 , Issue.3 , pp. 918-941
    • Curtis, E.B.1    Morrow, J.A.2
  • 34
    • 0001606527 scopus 로고
    • Layer stripping: A direct numerical method for impedance imaging
    • Somersalo E, Cheney M, Isaacson D and Isaacson E 1991 Layer stripping: a direct numerical method for impedance imaging Inverse Problems 7 899-926
    • (1991) Inverse Problems , vol.7 , Issue.6 , pp. 899-926
    • Somersalo, E.1    Cheney, M.2    Isaacson, D.3    Isaacson, E.4
  • 35
    • 0000032419 scopus 로고
    • A convergent layer stripping algorithm for radially symmetric impedance tomography problem
    • Sylvester J 1992 A convergent layer stripping algorithm for radially symmetric impedance tomography problem Commun. Partial Diff. Eqns 17 1955-94
    • (1992) Commun. Partial Diff. Eqns , vol.17 , Issue.11 , pp. 1955-1994
    • Sylvester, J.1
  • 36
    • 0000115945 scopus 로고    scopus 로고
    • An implementation of the reconstruction algorithm of A Nachman for the 2D inverse conductivity problem
    • 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
    • (2000) Inverse Problems , vol.16 , Issue.3 , pp. 681-699
    • Siltanen, S.1    Mueller, J.2    Isaacson, D.3
  • 37
    • 0037505387 scopus 로고    scopus 로고
    • Direct reconstructions of conductivities from boundary measurements
    • Mueller J and Siltanen S 2003 Direct reconstructions of conductivities from boundary measurements SIAM J. Sci. Comput. 24 1232-66
    • (2003) SIAM J. Sci. Comput. , vol.24 , Issue.4 , pp. 1232-1266
    • Mueller, J.1    Siltanen, S.2
  • 38
    • 0035541164 scopus 로고    scopus 로고
    • Explicit characterization of inclusions in electrical impedance tomography
    • Brühl M 2001 Explicit characterization of inclusions in electrical impedance tomography SIAM J. Math. Anal. 32 1327-41
    • (2001) SIAM J. Math. Anal. , vol.32 , Issue.6 , pp. 1327-1341
    • Brühl, M.1
  • 39
    • 36749064311 scopus 로고    scopus 로고
    • Recent progress in electrical impedance tomography
    • Hanke M and Brühl M 2003 Recent progress in electrical impedance tomography Inverse Problems 16 651-63
    • (2003) Inverse Problems , vol.16 , pp. 651-663
    • Hanke, M.1    Brühl, M.2
  • 40
    • 0027455253 scopus 로고
    • Generalized subspace methods for large-scale inverse problems
    • Oldenburg D W, McGillivray P R and Ellis R G 1993 Generalized subspace methods for large-scale inverse problems Geophys. J. Int. 114 12-20
    • (1993) Geophys. J. Int. , vol.114 , Issue.1 , pp. 12-20
    • Oldenburg, D.W.1    McGillivray, P.R.2    Ellis, R.G.3
  • 41
    • 0008147281 scopus 로고
    • Subspace linear inverse method
    • Oldenburg D W and Yaoguo Li 1994 Subspace linear inverse method Inverse Problems 10 915-35
    • (1994) Inverse Problems , vol.10 , Issue.4 , pp. 915-935
    • Oldenburg, D.W.1    Li, Y.2
  • 43
    • 0029373346 scopus 로고
    • 3-D resistivity forward modeling and inversion using conjugate gradients
    • Zhang J, Mackie R L and Madden T R 1995 3-D resistivity forward modeling and inversion using conjugate gradients Geophysics 60 1313-25
    • (1995) Geophysics , vol.60 , Issue.5 , pp. 1313-1325
    • Zhang, J.1    MacKie, R.L.2    Madden, T.R.3
  • 45
    • 0028595253 scopus 로고
    • 3-D DC-resistivity inverse problem: A conjugate gradient approach
    • Ellis R G and Oldenburg D W 1994 3-D DC-resistivity inverse problem: a conjugate gradient approach Geophys. J. Int. 119 187-95
    • (1994) Geophys. J. Int. , vol.119 , Issue.1 , pp. 187-195
    • Ellis, R.G.1    Oldenburg, D.W.2
  • 46
    • 0000183429 scopus 로고    scopus 로고
    • On optimization techniques for solving nonlinear inverse problems
    • Haber E, Ascher U M and Oldenburg D W 2000 On optimization techniques for solving nonlinear inverse problems Inverse Problems 16 1263-80
    • (2000) Inverse Problems , vol.16 , Issue.5 , pp. 1263-1280
    • Haber, E.1    Ascher, U.M.2    Oldenburg, D.W.3
  • 47
    • 0035665003 scopus 로고    scopus 로고
    • U M Preconditioned all-at-one methods for large, sparse parameter estimation problems
    • Haber E and Ascher 2001 U M Preconditioned all-at-one methods for large, sparse parameter estimation problems Inverse Problems 17 1847-64
    • (2001) Inverse Problems , vol.17 , Issue.6 , pp. 1847-1864
    • Haber, E.1    Ascher2
  • 48
    • 10844224601 scopus 로고    scopus 로고
    • Solution accelerators for large-scale three-dimensional electromagnetic inverse problems
    • Newmann G A and Boggs P T 2004 Solution accelerators for large-scale three-dimensional electromagnetic inverse problems Inverse Problems 20 S151-S170
    • (2004) Inverse Problems , vol.20 , Issue.6
    • Newmann, G.A.1    Boggs, P.T.2
  • 49
    • 13744252043 scopus 로고    scopus 로고
    • Quasi-Newton methods for large-scale electromagnetic inverse problems
    • Haber E 2005 Quasi-Newton methods for large-scale electromagnetic inverse problems Inverse Problems 21 305-23
    • (2005) Inverse Problems , vol.21 , Issue.1 , pp. 305-323
    • Haber, E.1
  • 50
    • 33846091615 scopus 로고    scopus 로고
    • Newton regularizations for impedance tomography: A numerical study
    • Lechleiter A and Rieder A 2006 Newton regularizations for impedance tomography: a numerical study Inverse Problems 22 1967-87
    • (2006) Inverse Problems , vol.22 , Issue.6 , pp. 1967-1987
    • Lechleiter, A.1    Rieder, A.2
  • 51
    • 33746286478 scopus 로고    scopus 로고
    • On effective methods for implicit piecewise smooth surface recovery
    • Ascher U M, Haber E and Huang H 2006 On effective methods for implicit piecewise smooth surface recovery SIAM J. Sci. Comput. 28 339-58
    • (2006) SIAM J. Sci. Comput. , vol.28 , Issue.1 , pp. 339-358
    • Ascher, U.M.1    Haber, E.2    Huang, H.3
  • 52
    • 0038677996 scopus 로고    scopus 로고
    • Learning regularization functionals-a supervised training approach
    • Haber E and Tenorio L 2003 Learning regularization functionals-a supervised training approach Inverse Problems 19 611-26
    • (2003) Inverse Problems , vol.19 , Issue.3 , pp. 611-626
    • Haber, E.1    Tenorio, L.2
  • 53
    • 0142062405 scopus 로고    scopus 로고
    • Variationally constrained numerical solution of electrical impedance tomography
    • Borcea L, Gray G A and Zhang Y 2003 Variationally constrained numerical solution of electrical impedance tomography Inverse Problems 19 1159-84
    • (2003) Inverse Problems , vol.19 , Issue.5 , pp. 1159-1184
    • Borcea, L.1    Gray, G.A.2    Zhang, Y.3
  • 55
    • 0034292512 scopus 로고    scopus 로고
    • Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography
    • Kaipio J P, Kolehmainen, Somersalo E and Vauhkonen M 2000 Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography Inverse Problems 16 1487-522
    • (2000) Inverse Problems , vol.16 , Issue.5 , pp. 1487-1522
    • Kaipio, J.P.1    Kolehmainen2    Somersalo, E.3    Vauhkonen, M.4
  • 56
    • 84913191472 scopus 로고    scopus 로고
    • Yang X 1999 Stochastic inversion of 3-D ERT data PhD Thesis University of Arizona
    • (1999) PhD Thesis
    • Yang, X.1
  • 57
    • 0024767913 scopus 로고
    • A multi-resolution, probabilistic approach to two dimensional inverse conductivity problem
    • Chou K C and Willsky A S 1989 A multi-resolution, probabilistic approach to two dimensional inverse conductivity problem Signal Process. 18 291-311
    • (1989) Signal Process. , vol.18 , Issue.3 , pp. 291-311
    • Chou, K.C.1    Willsky, A.S.2
  • 58
    • 0035305817 scopus 로고    scopus 로고
    • A nonlinear multigrid for imaging electrical conductivity and permittivity at low frequency
    • Borcea L 2001 A nonlinear multigrid for imaging electrical conductivity and permittivity at low frequency Inverse Problems 17 329-58
    • (2001) Inverse Problems , vol.17 , Issue.2 , pp. 329-358
    • Borcea, L.1
  • 59
    • 0035362767 scopus 로고    scopus 로고
    • Grid refinement and scaling for distributed parameter estimation problems
    • Ascher U M and Haber E 2001 Grid refinement and scaling for distributed parameter estimation problems Inverse Problems 17 571-90
    • (2001) Inverse Problems , vol.17 , Issue.3 , pp. 571-590
    • Ascher, U.M.1    Haber, E.2
  • 61
    • 0032301222 scopus 로고    scopus 로고
    • Regularization of ill-posed problems via the level set approach
    • Harabetian E and Osher S 1998 Regularization of ill-posed problems via the level set approach SIAM J. Appl. Math. 58 1689-1706
    • (1998) SIAM J. Appl. Math. , vol.58 , Issue.6 , pp. 1689-1706
    • Harabetian, E.1    Osher, S.2
  • 62
    • 0000386587 scopus 로고    scopus 로고
    • Reconstruction of a two-dimensional binary obstacle by controlled evolution of a level-set
    • Litman A, Lesselier D and Santosa F 1998 Reconstruction of a two-dimensional binary obstacle by controlled evolution of a level-set Inverse Problems 14 685-706
    • (1998) Inverse Problems , vol.14 , Issue.3 , pp. 685-706
    • Litman, A.1    Lesselier, D.2    Santosa, F.3
  • 63
    • 0034292566 scopus 로고    scopus 로고
    • A shape reconstruction method for electromagnetic tomography using adjoint fields and level sets
    • 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 1119-56
    • (2000) Inverse Problems , vol.16 , Issue.5 , pp. 1119-1156
    • Dorn, O.1    Miller, E.L.2    Rappaport, C.M.3
  • 64
    • 0035473295 scopus 로고    scopus 로고
    • Level-set function approach to an inverse interface problem
    • Ito K, Kunisch K and Li Z 2001 Level-set function approach to an inverse interface problem Inverse Problems 17 1225-42
    • (2001) Inverse Problems , vol.17 , Issue.5 , pp. 1225-1242
    • Ito, K.1    Kunisch, K.2    Li, Z.3
  • 65
    • 0035473388 scopus 로고    scopus 로고
    • A level set method for inverse problems
    • Burger M 2001 A level set method for inverse problems Inverse Problems 17 1327-55
    • (2001) Inverse Problems , vol.17 , Issue.5 , pp. 1327-1355
    • Burger, M.1
  • 66
    • 0344550387 scopus 로고    scopus 로고
    • Level set and total variational regularization for elliptic inverse problems with discontinuous coefficients
    • Chan T F and Tai X C 2003 Level set and total variational regularization for elliptic inverse problems with discontinuous coefficients J. Comput. Phys. 193 40-66
    • (2003) J. Comput. Phys. , vol.193 , Issue.1 , pp. 40-66
    • Chan, T.F.1    Tai, X.C.2
  • 67
    • 16844364446 scopus 로고    scopus 로고
    • Electrical impedance tomography using level set representation and total variational regularization
    • Chung E T, Chan T F and Tai X C 2005 Electrical impedance tomography using level set representation and total variational regularization J. Comput. Phys. 205 357-72
    • (2005) J. Comput. Phys. , vol.205 , Issue.1 , pp. 357-372
    • Chung, E.T.1    Chan, T.F.2    Tai, X.C.3
  • 68
    • 18344400652 scopus 로고    scopus 로고
    • On the extension of level-set curve evolution methods for low-sensitivity imaging problems
    • Ben Hadj Miled M K and Miller E L 2001 On the extension of level-set curve evolution methods for low-sensitivity imaging problems ICIP Proc. II 625-8
    • (2001) ICIP Proc. , vol.2 , pp. 625-628
    • Ben Hadj Miled, M.K.1    Miller, E.L.2
  • 69
    • 30544449867 scopus 로고    scopus 로고
    • Level set reconstruction of conductivity and permittivity from boundary electrical measurements using experimental data
    • Soleimani M, Lionheart W R B and Dorn O 2006 Level set reconstruction of conductivity and permittivity from boundary electrical measurements using experimental data Inverse Problems Sci. Eng. 14 193-210
    • (2006) Inverse Problems Sci. Eng. , vol.14 , Issue.2 , pp. 193-210
    • Soleimani, M.1    Lionheart, W.R.B.2    Dorn, O.3
  • 70
    • 33746298774 scopus 로고    scopus 로고
    • A narrow-band level set method applied to EIT in brain for cryosurgery monitoring
    • Soleimani M, Dorn O and Lionheart W R B 2006 A narrow-band level set method applied to EIT in brain for cryosurgery monitoring IEEE Trans. Biomed. Eng. 53 2257-64
    • (2006) IEEE Trans. Biomed. Eng. , vol.53 , Issue.11 , pp. 2257-2264
    • Soleimani, M.1    Dorn, O.2    Lionheart, W.R.B.3
  • 71
    • 1342329760 scopus 로고    scopus 로고
    • Levenberg-Marquardt level set methods for inverse problems
    • Berger M 2004 Levenberg-Marquardt level set methods for inverse problems Inverse Problems 20 259-82
    • (2004) Inverse Problems , vol.20 , Issue.1 , pp. 259-282
    • Berger, M.1
  • 72
    • 33646947060 scopus 로고    scopus 로고
    • On level set regularization for highly ill-posed distributed parameter estimation problems
    • van den Doel K and Ascher U M 2006 On level set regularization for highly ill-posed distributed parameter estimation problems J. Comput. Phys. 216 707-23
    • (2006) J. Comput. Phys. , vol.216 , Issue.2 , pp. 707-723
    • Van Den Doel, K.1    Ascher, U.M.2
  • 73
    • 33746284514 scopus 로고    scopus 로고
    • Level set methods for inverse problems
    • Dorn O and Lesselier D 2006 Level set methods for inverse problems Inverse Problems 22 R67-131
    • (2006) Inverse Problems , vol.22 , Issue.4 , pp. 67-131
    • Dorn, O.1    Lesselier, D.2
  • 74
    • 44749084234 scopus 로고
    • Fronts propagation with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations
    • Osher S and Sethian J 1988 Fronts propagation with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations J. Comput. Phys. 56 12-49
    • (1988) J. Comput. Phys. , vol.79 , Issue.1 , pp. 12-49
    • Osher, S.1    Sethian, J.2
  • 75
    • 3042677691 scopus 로고    scopus 로고
    • Level set methods for geometric inverse problems in linear elasticity
    • Ben Ameur H, Burger M and Hackl B 2004 Level set methods for geometric inverse problems in linear elasticity Inverse Problems 20 673-96
    • (2004) Inverse Problems , vol.20 , Issue.3 , pp. 673-696
    • Ben Ameur, H.1    Burger, M.2    Hackl, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.