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Volumn 15, Issue 5, 1999, Pages 1375-1391

Recovery of region boundaries of piecewise constant coefficients of an elliptic PDE from boundary data

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EID: 0001029408     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/15/5/318     Document Type: Article
Times cited : (108)

References (35)
  • 1
    • 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 1023-10
    • (1992) SIAM J. Appl. Math. , vol.52 , pp. 1023-1110
    • Somersalo, E.1    Cheney, M.2    Isaacson, D.3
  • 3
    • 0027172786 scopus 로고
    • A finite element approach for modelling photon transport in tissue
    • Arridge S R, Schweiger M, Hiraoka M and Delpy D T 1993 A finite element approach for modelling photon transport in tissue Med. Phys. 20 299-309
    • (1993) Med. Phys. , vol.20 , pp. 299-309
    • Arridge, S.R.1    Schweiger, M.2    Hiraoka, M.3    Delpy, D.T.4
  • 4
    • 0028826415 scopus 로고
    • The finite element model for the propagation of light in scattering media: Boundary and source conditions
    • Schweiger M, Arridge S R, Hiraoka M and Delpy D T 1995 The finite element model for the propagation of light in scattering media: boundary and source conditions Med. Phys. 22 1779-92
    • (1995) Med. Phys. , vol.22 , pp. 1779-1792
    • Schweiger, M.1    Arridge, S.R.2    Hiraoka, M.3    Delpy, D.T.4
  • 5
    • 0032638277 scopus 로고    scopus 로고
    • Optical tomography in medical imaging
    • Arridge S R 1999 Optical tomography in medical imaging Inverse Problems 15 R41-93
    • (1999) Inverse Problems , vol.15
    • Arridge, S.R.1
  • 6
    • 0000298487 scopus 로고    scopus 로고
    • Iterative methods for the reconstruction of an inverse potential problem
    • Hettlich F and Rundell W 1996 Iterative methods for the reconstruction of an inverse potential problem Inverse Problems 12 251-66
    • (1996) Inverse Problems , vol.12 , pp. 251-266
    • Hettlich, F.1    Rundell, W.2
  • 7
    • 0002215984 scopus 로고    scopus 로고
    • The determination of a discontinuity in a conductivity from a single boundary measurement
    • Hettlich F and Rundell W 1998 The determination of a discontinuity in a conductivity from a single boundary measurement Inverse Problems 14 67-82
    • (1998) Inverse Problems , vol.14 , pp. 67-82
    • Hettlich, F.1    Rundell, W.2
  • 8
    • 0011052133 scopus 로고    scopus 로고
    • Recovery of the support of a source term in an elliptic differential equation
    • Hettlich F and Rundell W 1997 Recovery of the support of a source term in an elliptic differential equation Inverse Problems 13 959-76
    • (1997) Inverse Problems , vol.13 , pp. 959-976
    • Hettlich, F.1    Rundell, W.2
  • 9
    • 0032139281 scopus 로고    scopus 로고
    • The inverse conductivity problem with one measurement: Bounds on the size of the unknown object
    • Alessandrini G and Rosset E 1998 The inverse conductivity problem with one measurement: bounds on the size of the unknown object SIAM J. Appl. Math. 58 1060-71
    • (1998) SIAM J. Appl. Math. , vol.58 , pp. 1060-1071
    • Alessandrini, G.1    Rosset, E.2
  • 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 , pp. 326-340
    • Alessandrini, G.1    Rondi, L.2
  • 11
    • 0002040402 scopus 로고
    • Stability in crack determination from electrostatic measurements at the boundary - A numerical investigation
    • Santosa F, Alessandrini G, Beretta E and Vessella S 1995 Stability in crack determination from electrostatic measurements at the boundary - a numerical investigation Inverse Problems 11 L17-24
    • (1995) Inverse Problems , vol.11
    • Santosa, F.1    Alessandrini, G.2    Beretta, E.3    Vessella, S.4
  • 12
    • 0031195160 scopus 로고    scopus 로고
    • Boundary element techniques for efficient 2-d and 3-d electrical impedance tomography
    • Chahine G L, Duraiswami R and Sarkar K 1997 Boundary element techniques for efficient 2-d and 3-d electrical impedance tomography Chem. Engng Sci. 52 2185-96
    • (1997) Chem. Engng Sci. , vol.52 , pp. 2185-2196
    • Chahine, G.L.1    Duraiswami, R.2    Sarkar, K.3
  • 13
    • 0001283067 scopus 로고
    • Bie and material differentiation applied to the formulation of obstacle inverse problems
    • Bonnet M 1995 Bie and material differentiation applied to the formulation of obstacle inverse problems Engng Anal. Bound. Elem. 15 121-36
    • (1995) Engng Anal. Bound. Elem. , vol.15 , pp. 121-136
    • Bonnet, M.1
  • 14
    • 0000386587 scopus 로고    scopus 로고
    • Reconstruction of a two-dimensional binary obstacle by controlled evolution of a level-set
    • Lesselier D, Litman A 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 , pp. 685-706
    • Lesselier, D.1    Litman, A.2    Santosa, F.3
  • 15
    • 0003003643 scopus 로고    scopus 로고
    • Method of imaging corrosion damage in thin plates from electrostatic data
    • Santosa F, Kaup P G 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
    • Santosa, F.1    Kaup, P.G.2    Vogelius, M.3
  • 20
    • 0024206831 scopus 로고
    • Estimation of optical pathlength through tissue from direct time of flight measurement
    • Delpy D T, Cope M, van der Zee P, Arridge S R, Wray S and Wyatt J 1988 Estimation of optical pathlength through tissue from direct time of flight measurement Phys. Med. Biol. 33 1433-42
    • (1988) Phys. Med. Biol. , vol.33 , pp. 1433-1442
    • Delpy, D.T.1    Cope, M.2    Van Der Zee, P.3    Arridge, S.R.4    Wray, S.5    Wyatt, J.6
  • 21
    • 0000996012 scopus 로고    scopus 로고
    • Reconstruction algorithm for near-infrared imaging in turbid media by means of time-domain data
    • Model R, Orlt M, Walzel M and Hünlich R 1997 Reconstruction algorithm for near-infrared imaging in turbid media by means of time-domain data J. Opt. Soc. Am. 14 313-24
    • (1997) J. Opt. Soc. Am. , vol.14 , pp. 313-324
    • Model, R.1    Orlt, M.2    Walzel, M.3    Hünlich, R.4
  • 25
    • 84975625138 scopus 로고
    • Direct calculation of the moments of the distribution of photon time of flight in tissue with a finite-element method
    • Arridge S R and Schweiger M 1995 Direct calculation of the moments of the distribution of photon time of flight in tissue with a finite-element method Appl. Opt. 34 2683-7
    • (1995) Appl. Opt. , vol.34 , pp. 2683-2687
    • Arridge, S.R.1    Schweiger, M.2
  • 31
    • 0000405886 scopus 로고    scopus 로고
    • A transport-backtransport method for optical tomography
    • Dorn O 1998 A transport-backtransport method for optical tomography Inverse Problems 14 1107-30
    • (1998) Inverse Problems , vol.14 , pp. 1107-1130
    • Dorn, O.1
  • 34
    • 0032681466 scopus 로고    scopus 로고
    • Imaging the diffusion coefficient in a parabolic inverse problem in optical tomography
    • Gryazin Y A, Klibanov M V and Lucas T R 1999 Imaging the diffusion coefficient in a parabolic inverse problem in optical tomography Inverse Problems 15 373-97
    • (1999) Inverse Problems , vol.15 , pp. 373-397
    • Gryazin, Y.A.1    Klibanov, M.V.2    Lucas, T.R.3
  • 35
    • 0029059602 scopus 로고
    • Statistical basis for the determination of optical pathlength in tissue
    • Arridge S R, Hiraoka M and Schweiger M 1995 Statistical basis for the determination of optical pathlength in tissue Phys. Med. Biol. 40 1539-58
    • (1995) Phys. Med. Biol. , vol.40 , pp. 1539-1558
    • Arridge, S.R.1    Hiraoka, M.2    Schweiger, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.