16
Views
5
CrossRef citations to date
0
Altmetric
Articles

Mapping defects in a conductive half-space by simulated annealing with connectivity and size as constraints

, &
Pages 983-1004 | Published online: 03 Apr 2012

References

  • Nair , S. M. and Rose , J. H. 1990 . Reconstruction of three-dimensional conductivity variations from eddy current (electromagnetic induction) data . Inverse Problems , 6 ( 6 ) : 1007 – 1030 .
  • Norton , S. and Bowler , J. 1993 . Theory of eddy current inversion . J. Appl. Phys. , 73 : 501 – 512 .
  • Sabbagh , H. and Lautzenheiser , R. G. 1993 . Inverse problems in electromagnetic nondestructive evaluation . Int. J. Applied Electromagn. Materials , 3 : 253 – 261 .
  • Wismer , M. and Ludwig , R. 1992 . A hybrid finite element / method of moment formulation for single frequency eddy current inversion . IEEE Trans. Magn. , MAG-28 ( 3 ) : 1843 – 1849 .
  • Zorgati , R. , Duchêne , B. , Lesselier , D. and Pons , F. 1991 . Eddy current testing of anomalies in conductive materials. Part I: qualitative imaging via diffraction tomography technique . IEEE Trans. Magn. , MAG-27 ( 6 ) : 4416 – 4437 .
  • Zorgati , R. , Duchêne , B. , Lesselier , D. and Pons , F. 1992 . Eddy current testing of anomalies in conductive materials. Part II: Quantitative imaging via generalized inverse techniques. . IEEE Trans. Magn. , MAG-28 ( 3 ) : 1850 – 1862 .
  • Garnero , L. , Franchois , A. , Hugonin , J. P. , Pichot , C. and Joachimowicz , N. 1991 . Microwave imaging - complex permittivity reconstruction by simulated annealing . IEEE Trans. Microwave Theory Tech. , MTT-39 ( 11 ) : 1801 – 1807 .
  • Caorsi , S. , Gragnani , G. , Medicina , S. , Pastorino , M. and Zunino , G. 1991 . Microwave imaging method using a simulated annealing approach . IEEE Microwave Guided Wave Let. , 1 ( 11 ) : 331 – 333 .
  • Caorsi , S. , Gragnani , G. , Medicina , S. , Pastorino , M. and Zunino , G. 1994 . Microwave imaging based on a Markov random field model . IEEE Trans. Antennas Propagat. , AP-42 ( 3 ) : 293 – 303 .
  • Gibert , D. and Virieux , J. 1991 . Electromagnetic imaging and simulated annealing . J. Geophys. Res. , 96 ( B5 ) : 8057 – 8067 .
  • Pesque , J. , Bouche , D. and Mittra , R. 1992 . Optimization of multilayer antireflection coatings using an optimal control method . IEEE Trans. Microwave Theory Tech. , MTT-40 ( 9 ) : 1789 – 1796 .
  • Scales , J. A. , Smith , M. L. and Fischer , T. L. 1991 . “ Global optimization methods for highly nonlinear inverse problems ” . In Mathematical and Numerical Aspects of Wave Propagation Phenomena , Edited by: Cohen , G. 434 – 444 . Philadelphia : SIAM .
  • Collins , M. D. , Kuperman , W. A. and Schmidt , H. 1992 . Nonlinear inversion for oceanbottom “properties” . J. Acoust. Soc. Am. , 92 ( 5 ) : 2770 – 2783 .
  • Hanseishi , H. , Masuda , T. , Ohyama , N. and Honda , T. 1989 . Three-dimensional blood vessel reconstruction by simulated annealing . Optics Let. , 14 ( 20 ) : 1095 – 1097 .
  • Simkin , J. and Trowbridge , C. W. 1992 . Optimizing electromagnetic devices combining direct search methods with simulated annealing . IEEE Trans. Magn. , MAG- 28 ( 2 ) : 1545 – 1548 .
  • Sekihara , K. , Haneishi , H. and Ohyama , N. 1992 . Details of simulated annealing algorithm to estimate parameters of multiple current dipoles using biomagnetic data . IEEE Trans. Med. Imaging , MI-11 ( 2 ) : 293 – 299 .
  • de Oliveira Bohbot , R. , Lesselier , D. and Duchêne , B. Simulated annealing as a computational tool for the characterization of defects in conductive materials . Proceedings PIERS . pp. 698 Pasadena
  • de Oliveira Bohbot , R. , Lesselier , D. , Duchêne , B. and Coutanceau , N. 1992 . “ On the eddy current imaging of defects in a conductive half-space ” . In Inverse Problems in Scattering and Imaging , Edited by: Fiddy , M. 220 – 231 . Philadelphia : SIAM .
  • Lesselier , D. , de Oliveira Bohbot , R. , Duchêne , B. , Rozier , C. , Lefebure , M. and Brouaye , F. 1995 . “ Eddy current imaging of defects in a conductive half-space as an inverse wave scattering problem ” . In Inverse Scattering and Potential Problems in Mathematical Physics , Edited by: Kleinman , R. E. 17 – 31 . Frankfurt : Peter Lang Verlag .
  • de Oliveira Bohbot , R. , Lesselier , D. and Duchêne , B. 1994 . A diffraction tomographic algorithm for eddy current imaging from anomalous fields at fictitious imaginary frequencies . Inverse Problems , 10 ( No. 1 ) : 109 – 127 .
  • Roger , R. and Chapel , F. 1991 . “ Iterative methods for inverse problems ” . In Application of Conjugate Gradient Method to Electromagnetics and Signal Analysis , Edited by: Sarkar , T. K. 423 – 454 . Amsterdam : Elsevier .
  • Kleinman , R. E. , Duchêne , B. and Lesselier , D. A nonlinearized iterative approach of the eddy current characterization of voids in a conductive half-space . Proceedings PIERS (Noordwijk) . pp. 408
  • Kleinman , R. E and van den Berg , P. M. 1992 . A modified gradient method for twodimensional problems in tomography . J. Comp. Applied Math. , 42 : 17 – 35 .
  • Basu , A. and Frazer , L. N. 1990 . Rapid determination of the critical temperature in simulated annealing inversion . Science , 259 : 1409 – 1412 .
  • Hajek , B. 1988 . Cooling schedules for optimal annealing . Math. Operations Res. , 13 ( 2 ) : 311 – 329 .
  • Litman , A. , Lesselier , D. and Duchne , B. Mapping 2-D defects in an attenuating half-space by successive regularized inversion in K-space of first-kind equations . Proceedings 1995 URSI Int. Symp. Electromagn. Theory . pp. 142 – 144 . Saint-Petersburg
  • Litman , A. , Lesselier , D. and De Mol , C. 1995 . “ Mapping 2-D defects in a conductive half-space by eigenfunction expansions in K-space of Fourier-Laplace transforms ” . In Nondestructive Testing of Materials , Edited by: Collins , R. 175 – 183 . Amsterdam : IOS Press .
  • Udpa , L. and Lord , W. Application of Markov models for inverse problems in eddy current nondestructive evaluation . Proceedings PIERS . pp. 13 Pasadena : JPL .
  • Michielssen , E. , Sajer , J.-M. , Ranjithan , S. and Mittra , R. 1993 . Design of lightweight, broad-band microwave absorbers using genetic algorithms . IEEE Trans. Microwave Theory Tech. , MTT-41 ( No. 6/7 ) : 1024 – 1031 .
  • Elshafiey , I. , Udpa , L. and Udpa , S. S. 1994 . Application of neural networks to inverse problems in electromagnetics . IEEE Trans. Magn. , MAG-30 ( No. 5 ) : 3629 – 3632 .
  • Elshafiey , I. , Udpa , L. and Udpa , S. S. 1995 . Solution of inverse problems in electromagnetics using Hopfield neural networks . IEEE Trans. Magn. , MAG-31 ( No. 1 ) : 852 – 861 .

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.