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Volumn 7, Issue 1, 1996, Pages 16-24

Nonlinear diffraction tomography: The use of inverse scattering for imaging

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CALCULATIONS; DIFFRACTION; IMAGE RECONSTRUCTION; NONLINEAR OPTICS; SCATTERING;

EID: 0030110708     PISSN: 08999457     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-1098(199621)7:1<16::AID-IMA2>3.0.CO;2-X     Document Type: Article
Times cited : (33)

References (55)
  • 1
    • 0039417022 scopus 로고
    • Three-dimensional inverse scattering: Layer-stripping formulae and ill-posedness results
    • M. Cheney and G. Kristensson, "Three-dimensional inverse scattering: Layer-stripping formulae and ill-posedness results," Inverse Problem, 4, 625-642 (1988).
    • (1988) Inverse Problem , vol.4 , pp. 625-642
    • Cheney, M.1    Kristensson, G.2
  • 3
    • 0018514825 scopus 로고
    • Computerized tomography with X-ray, emission, and ultrasound sources
    • A. C. Kak, "Computerized tomography with X-ray, emission, and ultrasound sources," Proc. IEEE, 67, 1245-1272 (1979).
    • (1979) Proc. IEEE , vol.67 , pp. 1245-1272
    • Kak, A.C.1
  • 4
    • 0018457408 scopus 로고
    • Medical imaging by nuclear magnetic resonance zeugmatography
    • P. C. Lauterbur, "Medical imaging by nuclear magnetic resonance zeugmatography," IEEE Trans. Nucl. Sci., 27, 2808-2811 (1980).
    • (1980) IEEE Trans. Nucl. Sci. , vol.27 , pp. 2808-2811
    • Lauterbur, P.C.1
  • 6
    • 0020353765 scopus 로고
    • A filtered backpropagation algorithm for diffraction tomography
    • A. J. Devaney, "A filtered backpropagation algorithm for diffraction tomography," Ultrasonic Imaging, 4, 336-360 (1982).
    • (1982) Ultrasonic Imaging , vol.4 , pp. 336-360
    • Devaney, A.J.1
  • 7
    • 0021478801 scopus 로고
    • Limitations of imaging with first-order diffraction tomography
    • M. Slaney, A. C. Kak, and L. E. Larsen, "Limitations of imaging with first-order diffraction tomography," IEEE Trans. Microwave Theory Tech., MTT-32, 860-874 (1984).
    • (1984) IEEE Trans. Microwave Theory Tech. , vol.MTT-32 , pp. 860-874
    • Slaney, M.1    Kak, A.C.2    Larsen, L.E.3
  • 9
    • 0003156483 scopus 로고
    • Image estimation from scattered field data
    • F. C. Lin and M. A. Fiddy, "Image estimation from scattered field data," Int. J. Imag. Sys. Tech., 2, 76-95 (1990).
    • (1990) Int. J. Imag. Sys. Tech. , vol.2 , pp. 76-95
    • Lin, F.C.1    Fiddy, M.A.2
  • 11
    • 0024665141 scopus 로고
    • Weighted least-square criteria for seismic traveltime tomography
    • J. G. Berryman, "Weighted least-square criteria for seismic traveltime tomography," IEEE Trans. Geosci. Remote Sensing, GE-27, 302-309 (1989).
    • (1989) IEEE Trans. Geosci. Remote Sensing , vol.GE-27 , pp. 302-309
    • Berryman, J.G.1
  • 12
    • 0040010417 scopus 로고
    • Inverse scattering II. Three dimensions
    • R. G. Newton, "Inverse scattering II. Three dimensions," J. Math. Phys., 21, 1698-1715 (1980).
    • (1980) J. Math. Phys. , vol.21 , pp. 1698-1715
    • Newton, R.G.1
  • 13
    • 3342968630 scopus 로고
    • Inverse scattering III. Three dimensions, continued
    • R. G. Newton, "Inverse scattering III. Three dimensions, continued," J. Math. Phys., 22, 2191-2200 (1981).
    • (1981) J. Math. Phys. , vol.22 , pp. 2191-2200
    • Newton, R.G.1
  • 14
    • 0041041202 scopus 로고
    • The connection between time- And frequency-domain three-dimensional inverse scattering methods
    • J. H. Rose, M. Cheney, and B. DeFacio, "The connection between time-and frequency-domain three-dimensional inverse scattering methods," J. Math. Phys., 25, 2995-3000 (1984).
    • (1984) J. Math. Phys. , vol.25 , pp. 2995-3000
    • Rose, J.H.1    Cheney, M.2    Defacio, B.3
  • 15
    • 0343683857 scopus 로고
    • The inverse scattering problem for time harmonic acoustic waves in an inhomogeneous medium
    • D. Colton and P. Monk, "The inverse scattering problem for time harmonic acoustic waves in an inhomogeneous medium," Q. J. Mech. Appl. Math., 41, 97-125 (1988).
    • (1988) Q. J. Mech. Appl. Math. , vol.41 , pp. 97-125
    • Colton, D.1    Monk, P.2
  • 16
    • 0009617085 scopus 로고
    • An inverse transmission problem for the Helmholtz equation
    • T. S. Angell, R. E. Kleinman, and G. F. Roach, "An inverse transmission problem for the Helmholtz equation," Inverse Problems, 3, 149-180 (1987).
    • (1987) Inverse Problems , vol.3 , pp. 149-180
    • Angell, T.S.1    Kleinman, R.E.2    Roach, G.F.3
  • 17
    • 84947150801 scopus 로고
    • On some inverse methods in electromagnetics
    • T. M. Habashy and R. Mittra, "On some inverse methods in electromagnetics," J. Electromag. Waves Appl., 1, 25-28 (1987).
    • (1987) J. Electromag. Waves Appl. , vol.1 , pp. 25-28
    • Habashy, T.M.1    Mittra, R.2
  • 18
    • 3343016604 scopus 로고
    • Determination of conductivity profiles by time-domain reflectrometry
    • J.-Ch. Bolomey, Ch. Durix, and D. Lesselier, "Determination of conductivity profiles by time-domain reflectrometry," IEEE Trans. Antennas Propagat., AP-27, 244-248 (1979).
    • (1979) IEEE Trans. Antennas Propagat. , vol.AP-27 , pp. 244-248
    • Bolomey, J.-Ch.1    Durix, Ch.2    Lesselier, D.3
  • 19
    • 0021042153 scopus 로고
    • Inverse scattering solutions by a sine basis, multiple source, moment method - Part I: Theory
    • S. A. Johnson and M. L. Tracy, "Inverse scattering solutions by a sine basis, multiple source, moment method - part I: Theory," Ultrasonic Imaging, 5, 361-375 (1983).
    • (1983) Ultrasonic Imaging , vol.5 , pp. 361-375
    • Johnson, S.A.1    Tracy, M.L.2
  • 20
    • 0021015025 scopus 로고
    • Inverse scattering solutions by a sine basis, multiple source, moment method - Part II: Numerical evaluations
    • S. A. Johnson and M. L. Tracy, "Inverse scattering solutions by a sine basis, multiple source, moment method - part II: Numerical evaluations," Ultrasonic Imaging, 5, 376-392 (1983).
    • (1983) Ultrasonic Imaging , vol.5 , pp. 376-392
    • Johnson, S.A.1    Tracy, M.L.2
  • 21
    • 0024400196 scopus 로고
    • Numerical study of high-order diffraction tomography via the sinc basis moment method
    • T. J. Cavicchi and W. D. O'Brien, "Numerical study of high-order diffraction tomography via the sinc basis moment method," Ultrasonic Imaging, 11, 42-74 (1989).
    • (1989) Ultrasonic Imaging , vol.11 , pp. 42-74
    • Cavicchi, T.J.1    O'Brien, W.D.2
  • 23
    • 84980313813 scopus 로고
    • Microwave tomography: From theory to practical imaging systems
    • J.-Ch. Bolomey and Ch. Pichot, "Microwave tomography: From theory to practical imaging systems," Int. J. Imag. Sys. Tech., 2, 144-156 (1990).
    • (1990) Int. J. Imag. Sys. Tech. , vol.2 , pp. 144-156
    • Bolomey, J.-Ch.1    Pichot, Ch.2
  • 24
    • 0000067674 scopus 로고
    • The seismic reflection inverse problem
    • F. Santosa, Y. H. Pao, W. Symes, and C. Holland, eds.
    • A. Tarantola, "The seismic reflection inverse problem," in Inverse Problems of Acoustic and Elastic Waves, F. Santosa, Y. H. Pao, W. Symes, and C. Holland, eds., 1984.
    • (1984) Inverse Problems of Acoustic and Elastic Waves
    • Tarantola, A.1
  • 25
    • 0025243069 scopus 로고
    • Robust nonlinear waveform inversion: Application to real data
    • E. Crase, A. Pica, M. Noble, J. McDonald, and A. Tarantola, "Robust nonlinear waveform inversion: Application to real data," Geophysics, 55, 527-538 (1990).
    • (1990) Geophysics , vol.55 , pp. 527-538
    • Crase, E.1    Pica, A.2    Noble, M.3    McDonald, J.4    Tarantola, A.5
  • 26
    • 0023422745 scopus 로고
    • Nonlinear two-dimensional elastic inversion of multioffset seismic data
    • P. Mora, "Nonlinear two-dimensional elastic inversion of multioffset seismic data," Geophysics, 52, 1211-1228 (1987).
    • (1987) Geophysics , vol.52 , pp. 1211-1228
    • Mora, P.1
  • 27
    • 0026384343 scopus 로고
    • Inverse scattering: An iterative numerical method for electromagnetic imaging
    • N. Joachimowicz, Ch. Pichot, and J.-P. Hugonin, "Inverse scattering: An iterative numerical method for electromagnetic imaging," IEEE Trans. Antennas Propagat., AP-39, 1742-1752 (1991).
    • (1991) IEEE Trans. Antennas Propagat. , vol.AP-39 , pp. 1742-1752
    • Joachimowicz, N.1    Pichot, Ch.2    Hugonin, J.-P.3
  • 28
    • 0021574561 scopus 로고
    • Profile inversion of a planar medium with a line source or a point source
    • Strasbourg, France
    • W. C. Chew and S. L. Chuang, "Profile inversion of a planar medium with a line source or a point source," presented at IGARSS, IEEE, Strasbourg, France, 1984.
    • (1984) IGARSS, IEEE
    • Chew, W.C.1    Chuang, S.L.2
  • 29
    • 0022742770 scopus 로고
    • Simultaneous reconstruction of permittivity and conductivity profiles in a radially inhomogeneous slab
    • T. M. Habashy, W. C. Chew, and E. Y. Chow, "Simultaneous reconstruction of permittivity and conductivity profiles in a radially inhomogeneous slab," Radio Sci., 21, 635-645 (1986).
    • (1986) Radio Sci. , vol.21 , pp. 635-645
    • Habashy, T.M.1    Chew, W.C.2    Chow, E.Y.3
  • 30
    • 84980258667 scopus 로고
    • An iterative solution of the two-dimensional electromagnetic inverse scattering problem
    • Y. M. Wang and W. C. Chew, "An iterative solution of the two-dimensional electromagnetic inverse scattering problem," Int. J. Imag. Sys. Tech., 1, 100-108 (1989).
    • (1989) Int. J. Imag. Sys. Tech. , vol.1 , pp. 100-108
    • Wang, Y.M.1    Chew, W.C.2
  • 31
    • 0025449269 scopus 로고
    • Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method
    • W. C. Chew and Y. M. Wang, "Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method," IEEE Trans. Medical Imag., 9, 218-225 (1990).
    • (1990) IEEE Trans. Medical Imag. , vol.9 , pp. 218-225
    • Chew, W.C.1    Wang, Y.M.2
  • 32
    • 84980271000 scopus 로고
    • Limited angle inverse scattering problems and their applications for geophysical explorations
    • Y. M. Wang and W. C. Chow, "Limited angle inverse scattering problems and their applications for geophysical explorations,'' Int. J. Imag. Sys. Tech., 2, 96-111 (1990).
    • (1990) Int. J. Imag. Sys. Tech. , vol.2 , pp. 96-111
    • Wang, Y.M.1    Chow, W.C.2
  • 33
    • 0026622184 scopus 로고
    • Nonlinear two-dimensional velocity profile inversion in the time domain
    • M. Moghaddam and W. C. Chew, "Nonlinear two-dimensional velocity profile inversion in the time domain," IEEE Trans. Geosci. Remote Sensing, GE-30, 147-156 (1992).
    • (1992) IEEE Trans. Geosci. Remote Sensing , vol.GE-30 , pp. 147-156
    • Moghaddam, M.1    Chew, W.C.2
  • 34
    • 0026829063 scopus 로고    scopus 로고
    • Accelerating the iterative inverse scattering algorithms by using the fast recursive operator algorithm
    • Y. M. Wang and W. C. Chew, "Accelerating the iterative inverse scattering algorithms by using the fast recursive operator algorithm," Radio Sci., 27, (1992).
    • Radio Sci. , vol.27 , pp. 1992
    • Wang, Y.M.1    Chew, W.C.2
  • 35
    • 0026404227 scopus 로고
    • Comparison of the Born iterative method and Tarantola's method for an electromagnetic time-domain inverse problem
    • M. Moghaddam, W. C. Chew, and M. Oristaglio, "Comparison of the Born iterative method and Tarantola's method for an electromagnetic time-domain inverse problem," Int. J. Imag. Sys. Tech., 3, 318-333 (1991).
    • (1991) Int. J. Imag. Sys. Tech. , vol.3 , pp. 318-333
    • Moghaddam, M.1    Chew, W.C.2    Oristaglio, M.3
  • 36
    • 0000657494 scopus 로고
    • Microwave imaging of multiple metallic cylinders using shape functions
    • W. C. Chew and G. P. Otto, "Microwave imaging of multiple metallic cylinders using shape functions," Micro. Guided Wave Lett., 2, 284-286 (1992).
    • (1992) Micro. Guided Wave Lett. , vol.2 , pp. 284-286
    • Chew, W.C.1    Otto, G.P.2
  • 37
    • 0027929355 scopus 로고
    • Microwave inverse scattering - Local shape function (LSF) imaging for improved resolution of strong scatterers
    • G. P. Otto and W. C. Chew, "Microwave inverse scattering - local shape function (LSF) imaging for improved resolution of strong scatterers," IEEE Trans. Microwave Theory Tech., MTT-42, 137-141 (1994).
    • (1994) IEEE Trans. Microwave Theory Tech. , vol.MTT-42 , pp. 137-141
    • Otto, G.P.1    Chew, W.C.2
  • 38
    • 0028400158 scopus 로고
    • Inverse scattering of H, waves using local shape function imaging: A T-matrix formulation
    • G. P. Otto and W. C. Chew, "Inverse scattering of H, waves using local shape function imaging: A T-matrix formulation," Int. J. Imag. Sys. Tech. 5, 22-27 (1994).
    • (1994) Int. J. Imag. Sys. Tech. , vol.5 , pp. 22-27
    • Otto, G.P.1    Chew, W.C.2
  • 39
    • 0000730578 scopus 로고
    • Time-domain inverse scattering using the local shape function (LSF) method
    • W. H. Weedon and W. C. Chew, "Time-domain inverse scattering using the local shape function (LSF) method," J. Inverse Problems, 9, 551-564 (1993).
    • (1993) J. Inverse Problems , vol.9 , pp. 551-564
    • Weedon, W.H.1    Chew, W.C.2
  • 40
    • 85033815995 scopus 로고
    • Broadband microwave inverse scattering for nondestructive evaluation (NDE)
    • Bowdoin College, Maine
    • W. H. Weedon and W. C. Chew, "Broadband microwave inverse scattering for nondestructive evaluation (NDE)," in Quantitative Nondestructive Evaluation Conference (Bowdoin College, Maine), 1993.
    • (1993) Quantitative Nondestructive Evaluation Conference
    • Weedon, W.H.1    Chew, W.C.2
  • 41
    • 0024772059 scopus 로고
    • 2 algorithm for the multiple scattering solution of N scatterers
    • 2 algorithm for the multiple scattering solution of N scatterers," Micro. Opt. Tech. Lett., 2, 380-383 (1989).
    • (1989) Micro. Opt. Tech. Lett. , vol.2 , pp. 380-383
    • Chew, W.C.1
  • 42
    • 0025403368 scopus 로고
    • An efficient algorithm for solution of a scattering problem
    • Y. M. Wang and W. C. Chew, "An efficient algorithm for solution of a scattering problem," Micro. Opt. Tech. Lett., 3, 102-106 (1990).
    • (1990) Micro. Opt. Tech. Lett. , vol.3 , pp. 102-106
    • Wang, Y.M.1    Chew, W.C.2
  • 43
    • 0025433864 scopus 로고
    • A fast algorithm for solution of a scattering problem using a recursive aggregate tau matrix method
    • W. C. Chew and Y. M. Wang, "A fast algorithm for solution of a scattering problem using a recursive aggregate tau matrix method," Micro. Opt. Tech. Lett., 3, 164-169 (1990).
    • (1990) Micro. Opt. Tech. Lett. , vol.3 , pp. 164-169
    • Chew, W.C.1    Wang, Y.M.2
  • 44
    • 0026125635 scopus 로고
    • Solution of large 2-D inhomogeneous scatterers for TM waves by fast recursive algorithm
    • Y. M. Wang and W. C. Chew, "Solution of large 2-D inhomogeneous scatterers for TM waves by fast recursive algorithm," Micro. Opt. Tech. Lett., 4, (1991).
    • (1991) Micro. Opt. Tech. Lett. , vol.4
    • Wang, Y.M.1    Chew, W.C.2
  • 46
    • 0027635244 scopus 로고
    • The use of Huygens' equivalence principle of resolving the volume integral equation of scattering
    • W. C. Chew and C. C. Lu, "The use of Huygens' equivalence principle of resolving the volume integral equation of scattering," IEEE Trans. Antennas Propagat., AP-41, 897-904 (1993).
    • (1993) IEEE Trans. Antennas Propagat. , vol.AP-41 , pp. 897-904
    • Chew, W.C.1    Lu, C.C.2
  • 47
    • 0026543197 scopus 로고
    • Nonperturbative diffraction tomography via Gauss-Newton iteration applied to the scattering integral equation
    • D. T. Borup, S. A. Johnson, W. W. Kim and M. J. Berggren, "Nonperturbative diffraction tomography via Gauss-Newton iteration applied to the scattering integral equation," Ultrasonic Imaging, 14, 69-85 (1992).
    • (1992) Ultrasonic Imaging , vol.14 , pp. 69-85
    • Borup, D.T.1    Johnson, S.A.2    Kim, W.W.3    Berggren, M.J.4
  • 49
    • 0027592862 scopus 로고
    • Reconstruction of two-dimensional axisymmetric inhomogeneous media
    • Q. H. Liu, "Reconstruction of two-dimensional axisymmetric inhomogeneous media," IEEE Trans. Geosci. Remote Sens., 31, 587-594 (1993).
    • (1993) IEEE Trans. Geosci. Remote Sens. , vol.31 , pp. 587-594
    • Liu, Q.H.1
  • 50
    • 0028426095 scopus 로고
    • Nonlinear inversion of electrode-type resistivity measurements
    • Q. H. Liu, "Nonlinear inversion of electrode-type resistivity measurements," IEEE Trans. Geosci. Remote Sens., 32, 499-507 (1994).
    • (1994) IEEE Trans. Geosci. Remote Sens. , vol.32 , pp. 499-507
    • Liu, Q.H.1
  • 51
    • 0028465042 scopus 로고
    • Inversion of induction tool measurements using the distorted Born iterative method and CG-FFHT
    • W. C. Chew and Q. H. Liu, "Inversion of induction tool measurements using the distorted Born iterative method and CG-FFHT," IEEE Trans. Geosci. Remote Sens., 32, 878-884 (1994).
    • (1994) IEEE Trans. Geosci. Remote Sens. , vol.32 , pp. 878-884
    • Chew, W.C.1    Liu, Q.H.2
  • 52
    • 0016544968 scopus 로고
    • Numerical solution of steady-state electromagnetic scattering problems using the time-dependent Maxwell's equations
    • A. Taflove and M. E. Brodwin, "Numerical solution of steady-state electromagnetic scattering problems using the time-dependent Maxwell's equations," IEEE Trans. Microwave Theory Tech., MTT-23, 623-630 (1975).
    • (1975) IEEE Trans. Microwave Theory Tech. , vol.MTT-23 , pp. 623-630
    • Taflove, A.1    Brodwin, M.E.2
  • 53
    • 0028494973 scopus 로고
    • Time-harmonic impedance tomography using the T-matrix method
    • G. P. Otto and W. C. Chew, "Time-harmonic impedance tomography using the T-matrix method," IEEE Trans. Med. Imag., 13 508-516 (1994).
    • (1994) IEEE Trans. Med. Imag. , vol.13 , pp. 508-516
    • Otto, G.P.1    Chew, W.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.