36
Views
10
CrossRef citations to date
0
Altmetric
Articles

RECONSTRUCTION OF TWO-DIMENSIONAL PERMITTIVITY DISTRIBUTION USING AN IMPROVED RYTOV APPROXIMATION AND NONLINEAR OPTIMIZATION

Pages 183-207 | Published online: 03 Apr 2012

References

  • Meany , P. M. , Fanning , M. W. , Li , D. , Poplack , S. P. and Paulsen , K. D. 2000 . A clinical prototype for active microwave imaging of the breast . IEEE Trans. Microwave Theory Tech. , 48 ( No. 11 ) Nov. : 1841 – 1853 .
  • Molyneux , J. E. and Witten , A. 1993 . Diflraction tomographic imaging in a monostatic measurement environment . IEEE Trans. Geosci. Remote Sensing , 32 ( No. 2 ) Mar. : 507 – 511 .
  • Bolomey , J.-C. 1989 . Recent European developments in active microwave imaging for industrial, scientific, and medical applications . IEEE Trans. Microwave Theory Tech. , 37 ( No. 12 ) Dec. : 2109 – 2117 .
  • Kak , A. C. and Slaney , M. 1988 . Principles of Computerized Tomographic Imaging , New York : IEEE Press .
  • Slaney , M. , Kak , A. C. and Larsen , L. E. 1984 . Limitations of imaging with first order diflraction tomography . IEEE Trans. Microwave Theory Tech. , MMT-32 : 860 – 873 .
  • Sponheim , N. and Johansen , I. 1990 . Initial testing of a clinical ultrasound mammograph . Acoustical Imaging , 18 : 401 – 411 .
  • Sponheim , N. , Gelius , L.-J. , Johansen , I. and Stamnes , J. J. 1991 . Quantitative results in ultrasonic tomography of large objects using line sources and curved detector arrays . IEEE Trans. Ultrason., Ferroelect., Freq. Contr. , 38 ( No. 4 ) July : 370 – 379 .
  • Devaney , A. J. 1982 . A filtered backpropagation algorithm for diffraction tomography . Ultrasonic Imaging , 4 : 336 – 350 .
  • Chen , B. and Stamnes , J. J. 1998 . Validity of diflraction tomography based on the first born and the first Rytov approximations . Applied Optics , 37 ( No. 14 ) May : 2996 – 3006 .
  • Harrington , R. F. 1968 . Field Computation by Moment Method , New York : Cazenovia .
  • Kim , S.-Y. , Choi , H.-C. , Lee , J.-M. and Ra , J.-W. 1992 . Inverse scattering scheme based on the moment method in the spectral domain, part I: theory . Ultrasonic Imaging , 14 : 16 – 28 .
  • Kim , S.-Y. , Choi , H.-C. , Lee , J.-M. and Ra , J.-W. 1992 . Inverse scattering scheme based on the moment method in the spectral domain, part II: numerical simulation . Ultrasonic Imaging , 14 : 29 – 39 .
  • Ney , N. M. , Smith , A. M. and Stuchly , S. S. 1984 . A solution of electromagnetic imaging using pseudoinverse transformation . IEEE Trans. Med. Imag. , MI-9 : 155 – 162 .
  • Caorsi , S. , Gragnani , G. L. and Pastorino , M. 1993 . Reconstruction of dielectric permittivity distributions in arbitrary 2-D inhomogeneous biological bodies by a multiview microwave numerical method . IEEE Trans. Med. Imag. , 12 ( No. 2 ) June : 232 – 239 .
  • Wang , Y. M. and Chew , W. C. 1989 . An iterative solution to twodimensional electromagnetic inverse scattering problem . Int. J. Imag. Systems Tech. , 1 : 100 – 108 .
  • Liu , L. , Zhang , X. and Broschat , S. L. 1999 . Ultrasound imaging using variations of the iterative Born technique . IEEE Trans. Ultrason., Ferroelect., Freq. Contr. , 46 ( No. 3 ) May : 574 – 583 .
  • Chew , W. C. and Wang , Y. M. 1990 . Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method . IEEE Trans. Med. Imag. , 9 June : 218 – 225 .
  • Haddadin , O. S. and Ebbini , E. S. 1998 . Imaging strongly scattering media using a multiple frequency distorted Born iterative method . IEEE Trans. Ultrason., Ferroelect., Freq. Contr. , 45 ( No. 6 ) Nov. : 1485 – 1496 .
  • Roger , A. 1981 . A Newton-Kantorovich algorithm applied to an electromagnetic inverse problem . IEEE Trans. Antennas Propagat. , AP-29 : 232 – 238 .
  • Chiu , C.-C. and Kiang , Y.-W. 1992 . Microwave imaging of multiple conducting cylinders . IEEE Trans. Antennas Propagat. , 40 : 933 – 941 .
  • Joachimowicz , N. , Mallorqui , J. J. , Bolomey , J.-C. and Broquetas , A. 1998 . Convergence and stability assessment of Newton-Kantorovich reconstruction algorithms for microwave tomography . IEEE Trans. Med. Imag. , 17 ( No. 4 ) August : 562 – 570 .
  • Meaney , P. M. , Paulsen , K. D. and Ryan , T. P. 1995 . Two-dimensional hybrid element image reconstruction for TM illumination . IEEE Trans. Antennas Propagat. , 43 : 239 – 247 .
  • Rekanos , I. T. , Yioultsis , T. V. and Tsiboukis , T. D. 1999 . Inverse scattering using the finite-element method and a nonlinear optimization technique . IEEE Trans. Microwave Theory Tech. , 47 ( No. 3 ) Mar. : 336 – 344 .
  • Kleinman , R. E. and van den Berg , P. 1992 . A modified gradient method for two dimensional problems in tomography . J. Comp. Appl. Math. , 42 : 17 – 35 .
  • Kleinman , R. E. and van den Berg , P. 1993 . An extended rangemodi fied gradient technique for profile inversion . Radio Science , 29 : 877 – 884 .
  • Maniatis , T. A. , Nikita , K. S. and Uzunoglu , N. K. 2000 . Two-dimensional dielectric profile reconstruction based on spectraldomain moment method and nonlinear optimization . IEEE Trans. Microwave Theory Tech. , 48 ( No. 11 ) Nov. : 1831 – 1840 .
  • Goodman , J. W. 1996 . Introduction to Fourier Optics , New York : McGraw-Hill .
  • Lippmann , B. A. and Schwinger . 1950 . Variational principles for scattering processes . Physics Review , 79 : 469 – 480 .
  • Abramowitz , M. and Stegun , I. A. 1970 . Handbook of Mathematical Functions Dover , New York
  • Colton , D. and Kress , R. 1998 . Inverse Acoustic and Electromagnetic Scattering Theory , Berlin : Springer-Verlag .
  • Bates , R. H. T. and Murch , R. D. 1991 . Manageable multidimensional inverse scattering theory . Physics Reports , 201 ( No. 4 ) Apr.
  • Fletcher , R. 1987 . Practical Methods of Optimization , John Wiley & Sons Ltd .
  • Bussey , H. E. and Richmond , J. H. 1975 . Scattering by a lossy dielectric circular cylinder multilayer, numerical values . IEEE Trans. Antennas Propagat. , AP-23 : 723 – 725 .
  • Press , W. H. , Flannery , B. P. , Teukolsky , S. A. and Vetterling , W. T. 1989 . Numerical Recipes in C the Art of Scientific Computing , Cambridge : Cambridge University Press .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.