RECONSTRUCTION OF COMPLEX AND MULTIPLE SHAPE OBJECT CONTOURS USING A LEVEL SET METHOD

References

• Roger , A. 1981 . Newton-Kantorovitch algorithm applied to an electromagnetic inverse problem . IEEE Transactions on Antennas and Propagation , 29 ( No. 2 ) March : 232 – 238 .
   Web of Science ®Google Scholar
• Joachimowicz , N. , Pichot , C. and Hugonin , J.-P. 1991 . Inverse scattering: an iterative numerical method for electromagnetic imaging . IEEE Transactions on Antennas and Propagation , 39 ( No. 12 ) December : 1742 – 1752 .
   Google Scholar
• Franchois , A. and Pichot , C. 1997 . Microwave imaging—Complex permittivity reconstruction with a Levenberg-Marquardt method . IEEE Transactions on Antennas and Propagation , 45 ( No. 2 ) February : 203 – 215 .
   Google Scholar
• Lobel , P. , Kleinman , R. E. , Pichot , C. , Blanc-Féraud , L. and Barlaud , M. 1996 . Conjugate gradient method for solving inverse scattering with experimental data . IEEE Antennas Propagation Magazine , 38 June : 48 – 51 .
   Web of Science ®Google Scholar
• Dourthe , C. , Pichot , C. , Dauvignac , J.-Y. , Blanc-Féraud , L. and Barlaud , M. 2000 . Regularized bi-conjugate gradient algorithm for tomographic reconstruction of buried objects . IEICE Trans. Electron. , E83-C ( No. 12 ) December : 1858 – 1863 .
   Google Scholar
• Bonnard , S. , Vincent , P. and Saillard , M. 1998 . Cross-borehole inverse scattering using a boundary finite-element method . Inverse Problems , 14 : 521 – 534 .
   Google Scholar
• Rekanos , I. T. , Yioultsis , T. V. and Tsiboukis , T. D. 1999 . Inverse scattering using the finite-element method and a nonlinear optimization technique . IEEE Transactions on Microwave Theory and Techniques , 47 ( No. 3 ) March : 336 – 344 .
   Google Scholar
• Kleinman , R. E. and van den Berg , P. M. 1992 . A modified gradient method for two-dimensional problems in tomography . J. Comput. Appl. Math. , 42 : 17 – 35 .
   Web of Science ®Google Scholar
• van den Berg , P. M. and Kleinman , R. E. 1997 . A contrast source inversion method . Inverse Problems , 13 : 1607 – 1620 .
   Web of Science ®Google Scholar
• Maniatis , T. A. , Nikita , K. S. and Uzunoglu , N. K. 2000 . Twodimensional dielectric profile reconstruction based on spectraldomain moment method and nonlinear optimization . IEEE Transactions on Microwave Theory and Techniques , 48 ( No. 11 ) November : 1831 – 1840 .
   Google Scholar
• Duchêne , B. 2001 . Inversion of experimental data using linearized and binary specialized nonlinear inversion schemes . Inverse Problems , 1623–1634
   Google Scholar
• Caorsi , S. , Costa , A. and Pastorino , M. 2001 . Microwave imaging within the second-order Born approximation: stochastic optimization by a genetic algorithm . IEEE Transactions on Antennas and Propagation , 49 ( No. 1 ) January : 22 – 31 .
   Google Scholar
• Caorsi , S. , Massa , A. and Pastorino , M. 2000 . A computational technique based on a real-coded genetic algorithm for microwave imaging purposes . IEEE Transactions on Geoscience and Remote Sensing , 38 ( No. 4 ) July : 1697 – 1708 .
   Google Scholar
• Sethian , J. A. 1999 . Level Set Methods and Fast Marching Methods , Cambridge University Press .
   Google Scholar
• Santosa , F. 1996 . A level set approach for inverse problems involving obstacles . ESAIM Control, Optimization and Calculus of Variations , 1 : 17 – 33 .
   Google Scholar
• Litman , A. , Lesselier , D. and Santosa , F. 1998 . Reconstruction of a two-dimensional binary obstacle by controlled evolution of a levelset . Inverse Problems , 14 : 685 – 706 .
   Web of Science ®Google Scholar
• Arvas , E. , Rao , S. M. and Sarkar , T. K. 1986 . E-field solution of TMscattering from multiple perfectly conducting and lossy dielectric cylinders of arbitrary cross-section . IEE Proceedings , 133 ( No. 2 ) April : 115 – 121 .
   Google Scholar
• James , R. M. 1994 . On the use of Fourier series/FFT’s as global basis functions in the solution of boundary integral equations for EM scattering . IEEE Transactions on Antennas and Propagation , 42 ( No. 9 ) September : 1309 – 1316 .
   Google Scholar
• Ferrayé R. , Dauvignac J.-Y. , and Pichot C. , An accurate boundary-oriented method for transverse magnetic scattering by perfectly conducting and/or dielectric cylinders of arbitrary cross-section , Conference on Antennas and Propagation AP2000 (Davos, Switzerland) , Abstracts , Vol. 2 332 Full papers, CDROM, paper p0248.pdf (4 pages ), 9–14 April 2000
   Google Scholar
• Roger , A. 1982 . Reciprocity theorem applied to the computation of functional derivatives of the scattering matrix . Electromagnetics 2 , : 69 – 83 .
   Google Scholar
• Sussman , M. , Smereka , P. and Osher , S. 1994 . A level set approach for computing solutions to incompressible two-phase flow . Journal of Computational Physics , 114 March : 146 – 159 .
   Web of Science ®Google Scholar