), l'introduction du terme de Lagrangien augmenté dans le critère MGM n'améliore pas les résultats. Une explication peut être liée à l'acquisition des données, celles-ci sont acquises tout au tour de l'objet testé et sont donc plus informatives. Il se peut également que le ? adopté soit suffisamment grand pour que l, 1996. ,
Nonlinearized mapping of volumetric defects affecting a metal tube, Electromagnetic nondestructive evalutation (XII, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00788032
Application of the MR-CSI Method for Three-Dimensional Imaging of the Triaxial Induction Measurements, IEEE Transactions on Geoscience and Remote Sensing, vol.48, issue.6, pp.1-7, 2010. ,
DOI : 10.1109/TGRS.2009.2039873
Total variation as a multiplicative constraint for solving inverse problems, IEEE Transactions on Image Processing, vol.10, issue.9, pp.1384-1392, 2001. ,
DOI : 10.1109/83.941862
Full three-dimensional multi-frequency electromagnetic inversion, IEEE Antennas and Propagation Society International Symposium. 2001 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.01CH37229), pp.658-61, 2001. ,
DOI : 10.1109/APS.2001.959810
Application of the multiplicative regularized contrast source inversion method to real biological data, IEEE MTT-S International Microwave Symposium Digest, 2005., 2005. ,
DOI : 10.1109/MWSYM.2005.1516922
An enhanced Gauss-Newton inversion algorithm using a dual-optimal grid approach, IEEE Transactions on Geoscience and Remote Sensing, vol.44, issue.6, pp.1419-1427, 2006. ,
DOI : 10.1109/TGRS.2006.872297
A finite-difference contrast source inversion method, Inverse Problems, vol.24, issue.6, p.65004, 2008. ,
DOI : 10.1088/0266-5611/24/6/065004
A contrast source inversion method for reconstructing objects in an inhomogeneous background medium, 2008 IEEE Antennas and Propagation Society International Symposium, 2008. ,
DOI : 10.1109/APS.2008.4619939
Iterative forward and inverse algorithms based on domain integral equations for three-dimensional electric and magnetic objects, Journal of Computational Physics, vol.195, issue.1, pp.236-262, 2004. ,
DOI : 10.1016/j.jcp.2003.10.009
norm penalty function, Inverse Problems in Science and Engineering, vol.4, issue.7, pp.785-809, 2007. ,
DOI : 10.1080/00401706.1993.10485033
A posteriori error estimation in finite element analysis, Computer Methods in Applied Mechanics and Engineering, vol.142, issue.1-2, pp.1-88, 1997. ,
DOI : 10.1016/S0045-7825(96)01107-3
Review of advances in quantitative eddy current nondestructive evaluation, Journal of Nondestructive Evaluation, vol.18, issue.1, pp.3-36, 1999. ,
DOI : 10.1023/A:1021898520626
Advanced Engineering Electromagnetics, 1989. ,
New approximate formulations for fast inversion of highly nonlinear problems in microwave tomography, 2008. ,
3-term optimization criterion for faster inversion in microwave tomography, 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, pp.225-228, 2007. ,
DOI : 10.1109/ISBI.2007.356829
On algorithms based on joint estimation of currents and contrast in microwave tomography, 2009. ,
A perfectly matched layer for the absorption of electromagnetic waves, Journal of Computational Physics, vol.114, issue.2, pp.185-200, 1994. ,
DOI : 10.1006/jcph.1994.1159
Image deblurring with Poisson data: from cells to galaxies, Inverse Problems, vol.25, issue.12, p.123006, 2009. ,
DOI : 10.1088/0266-5611/25/12/123006
Constrained Optimization and Lagrange Multiplier Methods (Optimization and Neural Computation Series), Athena Scientific, 1996. ,
Nonlinear Programming, Athena Scientific, 1999. ,
On the statisical analysis of dirty pictures, J. R. Statist. Soc. B, vol.48, pp.259-302, 1986. ,
Visual Reconstruction, 1987. ,
A unified approach to statistical tomography using coordinate descent optimization, IEEE Transactions on Image Processing, vol.5, issue.3, pp.480-492, 1996. ,
DOI : 10.1109/83.491321
A generalized Gaussian image model for edge-preserving MAP estimation, IEEE Transactions on Image Processing, vol.2, issue.3, pp.296-310, 1993. ,
DOI : 10.1109/83.236536
Eddy-current probe impedance due to a surface slot in a conductor, IEEE Transactions on Magnetics, vol.26, issue.2, pp.889-892, 1990. ,
DOI : 10.1109/20.106460
A limited-memory algorithm for bound-constrained optimization, 1995. ,
A Reconstruction Procedure for Microwave Nondestructive Evaluation Based on a Numerically Computed Green's Function, IEEE Transactions on Instrumentation and Measurement, vol.53, issue.4, pp.987-992, 2004. ,
DOI : 10.1109/TIM.2004.831446
URL : https://hal.archives-ouvertes.fr/hal-01169724
An overview of nonlinear diffraction tomography within the bayesian estimation framework, pp.107-124, 1997. ,
DOI : 10.1007/BFb0105764
Single site update algorithm for nonlinear diffraction tomography, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing -Proceedings, pp.2837-2840, 1997. ,
Approche bayésienne pour un problème inverse non linéaire en imagerie à ondes diffractées, Thèse de doctorat, 1996. ,
A Bayesian framework for nonlinear diffraction tomography, IEEE EURASIP Workshop on Nonlinear Signal and Image Processing NSIP'97, 1997. ,
Inspection en service des REP. Techniques de l'ingénieur, 2005. ,
Two deterministic half-quadratic regularization algorithms for computed imaging, Proceedings of 1st International Conference on Image Processing, pp.168-172, 1994. ,
DOI : 10.1109/ICIP.1994.413553
Deterministic edge-preserving regularization in computed imaging, IEEE Transactions on Image Processing, vol.6, issue.2, pp.298-311, 1997. ,
DOI : 10.1109/83.551699
Application de la méthode de caractérisation par, 2006. ,
Electromagnetic imaging of underground targets using constrained optimization. Geoscience and Remote Sensing, IEEE Transactions on, vol.33, issue.3, pp.551-561, 1995. ,
Waves and Fields in Inhomogeneous Media, 1999. ,
Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method, IEEE Transactions on Medical Imaging, vol.9, issue.2, pp.218-225, 1990. ,
DOI : 10.1109/42.56334
The Finite Element Method for Elliptic Problems. North-Holland, 1978. ,
Regularized estimation of mixed spectra using a circular Gibbs-Markov model, IEEE Transactions on Signal Processing, vol.49, issue.10, pp.492202-2213, 2001. ,
DOI : 10.1109/78.950776
URL : https://hal.archives-ouvertes.fr/cea-00333745
Inverse Acoustic and Electromagnetic Scattering Applied Mathematical Sciences 93, pp.3-93, 1992. ,
Robust estimation of flaw dimensions using remote field eddy current inspection, Measurement Science and Technology, vol.17, issue.11, pp.3006-3014, 2006. ,
DOI : 10.1088/0957-0233/17/11/021
URL : https://hal.archives-ouvertes.fr/hal-00257932
SAR Image Regularization With Fast Approximate Discrete Minimization, IEEE Transactions on Image Processing, vol.18, issue.7, pp.1588-1600, 2009. ,
DOI : 10.1109/TIP.2009.2019302
URL : https://hal.archives-ouvertes.fr/ujm-00380535
Nonuniqueness in inverse source and scattering problems, IEEE Transactions on Antennas and Propagation, vol.30, issue.5, pp.1034-1037, 1982. ,
DOI : 10.1109/TAP.1982.1142902
Compressed sensing. Information Theory, IEEE Transactions on, vol.52, issue.4, pp.1289-1306, 2006. ,
URL : https://hal.archives-ouvertes.fr/inria-00369486
Eddy-current evaluation of three-dimensional defects in a metal plate, Inverse Problems, vol.18, issue.6, pp.1857-1871, 2002. ,
DOI : 10.1088/0266-5611/18/6/325
Méthode de reconstruction 3D de défauts à partir de mesures CF : Application à la caractérisation de défauts débouchant dans les plaques de partition des GV, Note EDF, EDF, 2008. ,
Characterization of small surface-breaking defects with eddy current sensor measurements, Proc. ECNDT, 2006. ,
A perturbation finite element method for efficiently calculating skin and proximity effects in any conductive material, Actes de la 5ème conférence européenne sur les méthodes numériques en électromagnétisme Numelec, pp.658-61, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00398425
Contrôle non destructif (CND) Techniques de l'ingénieur, 1996. ,
Improved convergence order for augmented penalty algorithms, Computational Optimization and Applications, vol.29, issue.4, 2008. ,
DOI : 10.1007/s10589-007-9159-0
Microwave imaging of piecewise constant objects in a 2d-te configuration, International Journal of Applied Electromagnetics and Mechanics, vol.26, pp.3-4167, 2007. ,
Conjugate-gradient preconditioning methods for shift-variant PET image reconstruction, IEEE Transactions on Image Processing, vol.8, issue.5, pp.688-699, 1999. ,
DOI : 10.1109/83.760336
Grouped-coordinate ascent algorithms for penalized-likelihood transmission image reconstruction, IEEE Transactions on Medical Imaging, vol.16, issue.2, pp.166-175, 1997. ,
DOI : 10.1109/42.563662
Generation of finite difference formulas on arbitrarily spaced grids, Mathematics of Computation, vol.51, issue.184, pp.699-706, 1988. ,
DOI : 10.1090/S0025-5718-1988-0935077-0
Les éléments finis : de la théorie à la pratique, 2011. ,
Microwave imaging-complex permittivity reconstruction with a Levenberg-Marquardt method, IEEE Transactions on Antennas and Propagation, vol.45, issue.2, pp.203-215, 1997. ,
DOI : 10.1109/8.560338
URL : https://hal.archives-ouvertes.fr/hal-00986336
Microwave imaging-complex permittivity reconstruction-by simulated annealing, IEEE Transactions on Microwave Theory and Techniques, vol.39, issue.11, pp.1801-1807, 1991. ,
DOI : 10.1109/22.97480
URL : https://hal.archives-ouvertes.fr/hal-01384946
Random fields and inverse imaging, 1990. ,
DOI : 10.1007/bfb0103042
Statistical methods for tomographic image reconstruction, Proceedings of the 46-th Session of the ISI, Bulletin of the ISI, pp.22-26, 1987. ,
Markov Chain Monte Carlo in practice, 1996. ,
Microwave Biomedical Data Inversion Using the Finite-Difference Contrast Source Inversion Method, IEEE Transactions on Antennas and Propagation, vol.57, issue.5, pp.1528-1538, 2009. ,
DOI : 10.1109/TAP.2009.2016728
Imagerie de défauts débouchants par courants de Foucault, 2001. ,
Tomographie par courants de Foucault : Inversion d'un milieu 3D, 2003. ,
Inversion 3D en tomographie par courants de Foucault, 2004. ,
Inversion 3D en tomographie par courants de Foucault, 2005. ,
Etude de la caractérisation de défauts débouchants intervenant dans les composants métalliques lorsque la taille des défauts débouchants est inférieure à 5mm, 2007. ,
Field Computation by Moment Methods, 1993. ,
DOI : 10.1109/9780470544631
Performance comparison of smoothing and gamma priors for transmission tomography, Nuclear Science Symposium, pp.860-864, 1999. ,
The finite element method in electromagnetics, 1993. ,
Markov Random Fields and Their Applications, AMS, vol.1, 1980. ,
DOI : 10.1090/conm/001
Optimization by Simulated Annealing, Science, vol.220, issue.4598, pp.671-680, 1983. ,
DOI : 10.1126/science.220.4598.671
A modified gradient method for two- dimensional problems in tomography, Journal of Computational and Applied Mathematics, vol.42, issue.1, pp.17-35, 1992. ,
DOI : 10.1016/0377-0427(92)90160-Y
An extended range-modified gradient technique for profile inversion, Radio Science, vol.32, issue.5, pp.877-884, 1993. ,
DOI : 10.1029/93RS01076
What energy functions can be minimized via graph cuts?, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.26, issue.2, pp.147-159, 2004. ,
DOI : 10.1109/TPAMI.2004.1262177
Eddy currents: theory and applications, Proceedings of the IEEE, pp.1559-1589, 1992. ,
DOI : 10.1109/5.168666
URL : http://dspace.lib.ntua.gr/handle/123456789/37459
Algorithmes d'optimisation de critères pénalisés pour la restauration d'images. Application à la déconvolution de trains d'impulsions en imagerie ultrasonore, Thèse de doctorat, 2006. ,
Te Scattering By a Cylindrical Dielectric Obstacle Buried in a Half-Space: a H-Field-Based Solution Method, Journal of Electromagnetic Waves and Applications, vol.11, issue.3, pp.1217-1239, 1998. ,
DOI : 10.1163/156939398X00313
URL : https://hal.archives-ouvertes.fr/hal-00366158
A level-set approach for eddy current imaging of defects in a conductive half-space, Inverse Problems of Wave Propagation and Diffraction. Proceedings of the Conference, pp.250-62, 1997. ,
DOI : 10.1007/BFb0105775
Improved Poisson Intensity Estimation: Denoising Application Using Poisson Data, IEEE Transactions on Image Processing, vol.13, issue.8, pp.1128-1135, 2004. ,
DOI : 10.1109/TIP.2003.822606
Finite differences on minimal grids, GEOPHYSICS, vol.59, issue.9, pp.1435-1443, 1994. ,
DOI : 10.1190/1.1443700
Planar Antenna Array Control With Genetic Algorithms and Adaptive Array Theory, IEEE Transactions on Antennas and Propagation, vol.52, issue.11, pp.2919-2924, 2004. ,
DOI : 10.1109/TAP.2004.837523
URL : https://hal.archives-ouvertes.fr/hal-01169714
An Introduction to Genetic Algorithms, 1996. ,
Eddy current non-destructive evaluation using SQUIDs, Electromagnetic nondestructive evalutation (III, 1999. ,
Formulation intégrale de volume et inversion non linéaire, 1997. ,
Eddy current tomography using a binary Markov model, Signal Processing, vol.49, issue.2, pp.119-132, 1996. ,
DOI : 10.1016/0165-1684(95)00151-4
Numerical optimization Springer series in operations research and financial engineering, 2006. ,
A 3D Model for Eddy Current Inspection in Aeronautics: Application to Riveted Structures, AIP Conference Proceedings, pp.265-272, 2007. ,
DOI : 10.1063/1.2717982
URL : https://hal.archives-ouvertes.fr/hal-01103872
Inference for Discrete Markov Fields: The Simplest Nontrivial Case, Journal of the American Statistical Association, vol.19, issue.397, 1987. ,
DOI : 10.1080/01621459.1987.10478394
Eddy-current evaluation of three-dimensional flaws in flat conductive materials using a Bayesian approach, Inverse Problems, vol.18, issue.6, pp.1873-89, 2002. ,
DOI : 10.1088/0266-5611/18/6/326
Eddy current tomography in cylindrical geometry, IEEE Transactions on Magnetics, vol.31, issue.3, pp.312000-2003, 1995. ,
DOI : 10.1109/20.376435
Numerical Recipes in C, 1992. ,
Shape reconstruction of buried obstacles by controlled evolution of a level set: from a min-max formulation to numerical experimentation, Inverse Problems, vol.17, issue.4, pp.1087-1111, 2001. ,
DOI : 10.1088/0266-5611/17/4/335
Impedance inversion in eddy current testing of layered planar structures via neural networks, NDT & E International, vol.30, issue.2, pp.69-74, 1997. ,
DOI : 10.1016/S0963-8695(96)00047-3
Total variation based image restoration with free local constraints, Proceedings of 1st International Conference on Image Processing, pp.31-35, 1994. ,
DOI : 10.1109/ICIP.1994.413269
SQUIDs and eddy-current NDE: a comprehensive investigation from real data to modelling, Measurement Science and Technology, vol.11, issue.11, pp.1639-1648, 2000. ,
DOI : 10.1088/0957-0233/11/11/314
A Perturbation Approach for the Modeling of Eddy Current Nondestructive Testing Problems With Differential Probes, IEEE Transactions on Magnetics, vol.43, issue.4, pp.1289-1292, 2007. ,
DOI : 10.1109/TMAG.2007.892398
Finite Element for Electrical Engineers, 1996. ,
DOI : 10.1017/CBO9781139170611
Computation of 2-D current distribution in superconductors of arbitrary shapes using a new semi-analytical method, IEEE Transactions on Applied Superconductivity, vol.17, issue.3, pp.3836-3845, 2007. ,
DOI : 10.1109/TASC.2007.902117
Numerical modeling of eddy current nondestructive evaluation of ferromagnetic tubes via in integral equation approach, 12th International Workshop on Electromagnetic Non Destructive Evaluation (ENDE 07), 2007. ,
Limitations of Imaging with First-Order Diffraction Tomography, IEEE Transactions on Microwave Theory and Techniques, vol.32, issue.8, pp.860-874, 1984. ,
DOI : 10.1109/TMTT.1984.1132783
A three-dimensional inverse finite-element method applied to experimental eddy-current imaging data, IEEE Transactions on Magnetics, vol.42, issue.5, pp.1560-1567, 2006. ,
DOI : 10.1109/TMAG.2006.871255
Caractérisation de défauts débouchants par cf, 2003. ,
Synthèse de l'action CEA-EDF 131 en 2002. evaluation des performances du contrôle CF sur défauts débouchants, 2002. ,
Eddy current flaw characterization in tubes by neural networks and finite element modeling, NDT & E International, vol.33, issue.4, pp.233-243, 2000. ,
DOI : 10.1016/S0963-8695(99)00046-8
Image recovery using partitioned-separable paraboloidal surrogate coordinate ascent algorithms, IEEE Transactions on Image Processing, vol.11, issue.3, pp.306-317, 2002. ,
DOI : 10.1109/83.988963
Modified gradient approach to inverse scattering for binary objects in stratified media, Inverse Problems, vol.12, issue.4, pp.463-481, 1996. ,
DOI : 10.1088/0266-5611/12/4/009
URL : https://hal.archives-ouvertes.fr/hal-00641670
Alternating direction algorithms for total variation deconvolution in image reconstruction, 2009. ,
Eléments finis pour l'ingénieur. Tec et Doc, 2006. ,
Inversion données CF par modèle différences finies. Research rep, 2009. ,
EDDY CURRENT TOMOGRAPHY BASED ON A FINITE DIFFERENCE FORWARD MODEL WITH ADDITIVE REGULARIZATION, Review of Progress in Quantitative Nondestructive Evaluation, 2009. ,
DOI : 10.1063/1.3362478
Contrast Source Inversion Method: State of Art, Progress In Electromagnetics Research, vol.34, pp.189-218, 2001. ,
DOI : 10.2528/PIER01061103
Inverse scattering and its application to medical imaging and subsurface sensing, Radio Sci. Bull, vol.303, pp.869-877, 2002. ,
Total variation enhanced modified gradient algorithm for profile reconstruction, Inverse Problems, vol.11, issue.3, pp.5-10, 1995. ,
A contrast source inversion method, Inverse Problems, vol.13, issue.6, pp.1607-1627, 1997. ,
Integral and finite-difference formulations of the contrast source inversion method, 2009 International Conference on Electromagnetics in Advanced Applications, pp.144-147, 2009. ,
DOI : 10.1109/ICEAA.2009.5297562
Reconstruction Of Permittivity Distribution Using The Born Iterative And Distorted Born Iterative Methods For Geophysical Applications, 10th Annual International Symposium on Geoscience and Remote Sensing, pp.379-382, 1990. ,
DOI : 10.1109/IGARSS.1990.688501
Evaluation non destructive de la qualité des matériaux (Partie 1), 2001. ,
The inverse crime, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00001084
Comparison of Different Finite-difference Schemes of Modeling Marine Controlled-Source Electromagnetic Fields for
Hydrocarbon Exploration, PIERS Online, vol.3, issue.2, pp.145-148, 2007. ,
DOI : 10.2529/PIERS060906130556
Generalized neural network approach to eddy current inversion for real cracks, NDT & E International, vol.35, issue.8, pp.609-614, 2002. ,
DOI : 10.1016/S0963-8695(02)00048-8
Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound-constrained optimization, ACM Transactions on Mathematical Software, vol.23, issue.4, pp.550-560, 1997. ,
DOI : 10.1145/279232.279236
Eddy current testing of anomalies in conductive materials. I. Qualitative imaging via diffraction tomography techniques, IEEE Transactions on Magnetics, vol.27, issue.6, pp.4416-4437, 1991. ,
DOI : 10.1109/20.278657
URL : https://hal.archives-ouvertes.fr/hal-00643928
Eddy current testing of anomalies in conductive materials. II. Quantitative imaging via deterministic and stochastic inversion techniques, IEEE Transactions on Magnetics, vol.28, issue.3, pp.1850-1862, 1992. ,
DOI : 10.1109/20.141295
URL : https://hal.archives-ouvertes.fr/hal-00643928
Catalogue de méthodes inverses en contrôle non destructif, Note EDF ,
Scattering by objects with electric constrast Table des figures I, 1997. ,
parties réelle (a) et imaginaire (b) ,
109 VIII.12 Effet de la régularisation sur la reconstruction par EF-Basique pour le défaut de 2 mm de profondeur, VIII.11 Critère en fonction, p.110 ,
112 VIII.15 Comparaison des EQR et du critère primal entre les méthodes de reconstruction pour le défaut de 1 mm de profondeur 113 VIII.16 Comparaison entre les méthodes de reconstruction pour le défaut de 2 mm de profondeur 114 VIII.17 Comparaison entre les méthodes de reconstruction pour le défaut de 2 mm de profondeur 115 VIII.18 Evolution de ? CSI au cours des itérations pour les défauts de 1 mm et 2 mm de profondeur 116 VIII.20 Comparaison entre les méthodes de reconstruction pour les défauts de 1 mm et 2 mm de profondeur en termes de nombre d'itérations, Effet de la régularisation sur la reconstruction par EF-Basique pour le défaut long110 VIII.14 Comparaison des résultats de reconstruction entre les méthodes pour le défaut de 1 mm 115 VIII.19 Comparaison entre les méthodes de reconstruction pour le défaut de 2 mm de profondeur avec le même ? CSI final 116 VIII.21 Diagrammes de la profondeur estimée (a) et du temps (b) en fonction de la profondeur du défaut à estimer pour les méthodes EF-Basique et EF-CSI avec ou sans réglage automatique de ?, p.119 ,
124 IX.6 Reconstructions pour la méthode EF-Basique (a) et EF-AL-Basique (b) 124 IX.7 EQR et critère primal J NL (x) pour la méthode EF-Basique et pour la méthode, p.125 ,
129 IX.14 Diagrammes de la profondeur estimée (a) et du temps (b) en fonction de la profondeur du défaut à estimer pour les méthodes ,
150 G.1 Reconstructions avec la méthode EDF-EPM pour le défaut de 1 mm, 163 G.2 Reconstructions avec la méthode EDF-EPM pour le défaut de 2 mm . . . . . . 163 G.3 Reconstructions avec la méthode EDF-EPM pour le défaut long . . . . . . . . . 164 G.4 Reconstructions, p.164 ,
180 I.6 Reconstructions pour la méthode EF-CI-Basique pour le défaut de 1 mm de profondeur avec régularisation sur x ? ,
Basique pour le défaut de 1 mm de profondeur ,