. K. Bibliographie-[-ag02-]-m, J. C. Au-yang, and . Griffith, Analysis of eddy current data using a probabilistic neural network, Journal of Pressure Vessel Technology, vol.124, issue.8, pp.261-264, 2002.

G. [. Albanese, F. Rubinacci, and . Villone, An Integral Computational Model for Crack Simulation and Detection via Eddy Currents, Journal of Computational Physics, vol.152, issue.2, pp.736-755, 1999.
DOI : 10.1006/jcph.1999.6261

P. [. Boutsidis and . Drineas, Random projections for the nonnegative least-squares problem, Linear Algebra and its Applications, vol.431, issue.5-7, pp.760-771, 2009.
DOI : 10.1016/j.laa.2009.03.026

M. [. Bebis and . Georgiopoulos, Feed-forward neural networks, IEEE Potentials, vol.13, issue.4, pp.27-31, 1999.
DOI : 10.1109/45.329294

J. R. Bowler and S. J. Norton, Eddy current inversion for layered conductors, Research in Nondestructive Evaluation, pp.205-219, 1992.
DOI : 10.1080/09349849209409535

J. C. Bour, Contrôle non destructif par courants de Foucault pulsés : contribution à la classification de défauts par réseaux de neurones, Thèse de doctorat, 1995.

J. R. Bowler, Eddy current calculations using half???space Green???s functions, Journal of Applied Physics, vol.61, issue.3, pp.833-839, 1987.
DOI : 10.1063/1.338131

C. [. Bishop and . Roach, Fast curve fitting using neural networks, Review of Scientific Instruments, vol.63, issue.10, pp.4450-4456, 1992.
DOI : 10.1063/1.1143696

]. S. Bur86 and . Burke, Impedance of a horizontal coil above a conducting half space, Journal of Physics D: Applied Physics, vol.19, pp.1159-1173, 1986.

P. Cawley, Non-destructive testing ? current capabilities and future directions, Journal of Materials Design and Applications, vol.215, issue.4, pp.213-223, 2001.
DOI : 10.1177/146442070121500403

W. Cheng, S. Kanemoto, I. Komura, and M. Shiwa, Depth sizing of partial-contact stress corrosion cracks from ECT signals, NDT & E International, vol.39, issue.5, pp.374-383, 2006.
DOI : 10.1016/j.ndteint.2005.10.007

]. P. Cou09 and . Courrieu, Fast solving of weighted pairing least-squares systems, Journal of Comutational and Applied Mathematics, vol.231, pp.39-48, 2009.

R. [. Chen and . Plemmons, Nonnegativity constraints in numerical analysis, Symposium on the Birth of Numerical Analysis, 2007.

T. Chen, G. Y. Tian, A. Sophian, and P. W. Que, Feature extraction and selection for defect classification of pulsed eddy current NDT, NDT & E International, vol.41, issue.6, pp.41467-476, 2008.
DOI : 10.1016/j.ndteint.2008.02.002

]. D. Cyb89 and . Cybenko, Approximation by superposition of a sigmoidal function, Mathematics of Control, Signals and Systems, vol.2, pp.303-314, 1989.

W. [. Dood and . Deeds, Analytical solutions to eddy-current probe coil problem, Journal of Applied Physics, vol.39, pp.2829-2839, 1968.
DOI : 10.2172/4499902

W. [. Dood, Deeds, Determination of multiple properties with multiple eddycurrent measurements, International advanced in Non-destructive Testing, pp.317-333, 1981.

J. M. Decitre, Modélisation électromagnétique et réalisation d'un dispositif d'imagerie magnéto-optique quantitatif, Thèse de doctorat, 2003.

I. Dufour, D. Placko, and M. Geoffroy, Active shielding of eddy current sensors: a method to focus the magnetic field in order to improve lateral resolution and coupling coefficient, NDT & E International, vol.28, issue.4, pp.225-233, 1995.
DOI : 10.1016/0963-8695(95)93627-I

]. I. Duf93 and . Dufour, Contribution à l'évolution de procédés de contrôle non destructif par capteurs inductifs: application au cas des matériaux composites carbones, Thèse de doctorat, 1993.

G. [. Dolabdjian, L. Wache, and . Perez, Improvement in the detection of subsurface fatigue cracks under airframe fasteners using improved rotating giant magnetoresistance magnetometer head, Insight, vol.49, issue.3, pp.133-136, 2007.

A. [. Edwards, S. Sophian, G. Y. Dixon, X. Tian, and . Jian, Dual EMAT and PEC noncontact probe: applications to defect testing, NDT&E International, pp.3945-52, 2006.
DOI : 10.1016/j.ndteint.2005.06.001

]. D. Geo87 and . George, An introduction to impedance plane phase analysis eddy current equipment and its use on aircraft structures, British journal of Nondestructive testing, vol.19, issue.2, pp.88-93, 1987.

]. D. Hag82 and . Hagemaier, Eddy current impedance plane analysis, Materials Evaluation, vol.41, pp.211-218, 1982.

R. Hamia, Performance et apport des capteurs magnétiques à très haute sensibilité aux systèmes du contrôle non destructif par courants de Foucault, Thèse de doctorat, 2011.

]. S. Hay99 and . Haykin, Neural network: A comprehensive foundation, 1999.

C. [. Hamia, S. Cordier, C. Saez, and . Dolabdjian, Giant Magnetoimpedance Sensor for Non Destructive Evaluation Eddy Current System, Sensor Letters, vol.7, issue.3, pp.437-441, 2009.
DOI : 10.1166/sl.2009.1045

M. [. Hagan and . Menhaj, Training feedforward networks with the Marquardt algorithm, IEEE Transactions on Neural Networks, vol.5, issue.6, pp.989-993, 1994.
DOI : 10.1109/72.329697

K. Hornik, M. Stinchcombe, and H. White, Multilayer feedforward networks are universal approximators, Neural Networks, vol.2, issue.5, pp.359-366, 1989.
DOI : 10.1016/0893-6080(89)90020-8

Z. [. Huang and . Wu, Thickness measurement of multi-layered structure by eddycurrent testing, in the proceeding of ISIST'02, Harbin Institute of Technology press, pp.38-42, 2002.

P. Huang and Z. Wu, Inversion of thicknesses of multi-layered structures from eddy current testing measurements, Journal of Zhejiang University SCIENCE, vol.5, issue.1, pp.86-91, 2004.
DOI : 10.1631/jzus.2004.0086

G. [. Huang, D. Zhang, Z. Hou, Z. Zhou, and . Wu, Modeling and inversion techniques for thickness measurement of multi-layered structures in eddy current testing, Insight, issue.7, pp.48-406, 2006.

]. N. Ida94 and . Ida, Numerical Modeling for Electromagnetic Non-destructive Evaluation, 1994.
DOI : 10.1007/978-1-4757-0560-7

B. [. Juillard, G. De-barmon, and . Berthiau, Simple analytical three-dimensional eddy-current model, IEEE Transactions on Magnetics, vol.36, issue.1, pp.258-266, 2000.
DOI : 10.1109/20.822536

[. Joubert and Y. L. Bihan, Eddy Current Data Fusion for the Enhancement of Defect Detection in Complex Metallic Structures, International Journal of Applied Electromagnetics and Mechanics, vol.19, issue.1-4, pp.647-651, 2004.

[. Joubert and Y. L. Diraison, Rotating field eddy current imaging for the NDE of buried and oriented defects buried in riveted lap-joints, Sensor Letters, vol.7, issue.3, pp.406-411, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00871813

P. Joubert, Y. Le-diraison, and J. Pinassaud, Procédé et dispositif d'imagerie à courant de Foucault pour la détection et la caractérisation de défauts enfouis dans des structures complexes, 2007.

S. [. Kim, I. S. Sra, and . Dhillon, A new projected quasi-Newton approach for solving nonnegative least squares problem, 2007.

J. [. Lesselier and . Bowler, Electromagnetic and Ultrasonic Nondestructive Evaluation -12 solicited papers, Inverse Problems, vol.18, issue.6, pp.1733-1958, 2002.

W. [. Luquire, C. W. Deeds, and . Dodds, Alternating Current Distribution Between Planar Conductors, Journal of Applied Physics, vol.41, issue.10, pp.3983-3990, 1970.
DOI : 10.1063/1.1658399

Y. and L. Diraison, Imagerie à courants de Foucault pour l'évaluation non-destructive de structures rivetées aéronautiques, Thèse de doctorat, 2009.

Y. Le-diraison, P. Joubert, and D. Placko, Characterization of subsurface defects in aeronautical riveted lap-joints using multi-frequency eddy current imaging, NDT & E International, vol.42, issue.2, pp.40133-140, 2009.
DOI : 10.1016/j.ndteint.2008.10.005
URL : https://hal.archives-ouvertes.fr/hal-00844766

]. Y. Leb03 and . Bihan, Study on the Transformer Equivalent Circuit of Eddy Current Nondestructive Evaluation, NDT&E International, vol.36, pp.297-302, 2003.

]. T. Lee91 and . Lee, Structure level adaptation for artificial neural networks, Kluwer academic publisher, 1991.

R. [. Lawson, . S. Hanson, S. Li, W. Huang, and . Zhao, Solving Least Square Problems Development of differential probes in pulsed eddy current testing for noise suppression, Sensors and Actuators A, pp.135675-679, 1974.

S. [. Li, W. Huang, P. Zhao, and . Yu, Study of pulse eddy current probes detecting cracks extending in all directions, Sensors and Actuators A, pp.14113-14132, 2008.

H. L. Libby, Introduction to electromagnetic nondestructive test methods, 1971.

G. Li, X. Kang, P. Huang, P. Chen, D. Hou et al., Thickness measuring of multilayer conductor based on eddy current testing, Chinese Control and Decision Conference, IEEE, pp.3269-3272, 2009.

T. [. Li, G. Y. Theodoulidis, and . Tian, Magnetic Field-Based Eddy-Current Modeling for Multilayered Specimens, IEEE Transactions on Magnetics, vol.43, issue.11, pp.4010-4015, 2007.
DOI : 10.1109/TMAG.2007.904930
URL : http://eprint.ncl.ac.uk/file_store/production/56545/D752337F-36BC-4AF9-A6BB-F97CBBC63DD8.pdf

B. Marchand, J. M. Decitre, and O. Casula, FLEXIBLE AND ARRAY EDDY CURRENT PROBES FOR FAST INSPECTION OF COMPLEX PARTS, proceedings of the 10th ECNDT, pp.337-344, 2010.
DOI : 10.1063/1.3362419

]. D. Mil98 and . Miller, Contribution à la conception d'une sonde multi-capteurs à courants de Foucault et aux prétraitements des signaux associés, 1998.

F. [. Mook, J. Michel, and . Simonin, Electromagnetic imaging using probe arrays, in proceedings of the 17th world conference on Nondestructive Testing (no.132, section 5), 2008.

W. [. Mcculloch and . Pitts, A logical calculus of the ideas immanent in nervous activity, The Bulletin of Mathematical Biophysics, vol.5, issue.4, pp.115-133, 1943.
DOI : 10.1007/BF02478259

M. [. Morini, R. Porcelli, and . Chan, A reduced Newton method for constrained linear least-squares problems, Journal of Computational and Applied Mathematics, vol.233, issue.9, pp.2200-2212, 2010.
DOI : 10.1016/j.cam.2009.10.006

J. C. Moulder, E. Uzal, and J. H. Rose, Thickness and conductivity of metallic layers from eddy current measurements, Review of Scientific Instruments, vol.63, issue.6, pp.3455-3465, 1992.
DOI : 10.1063/1.1143749

D. Plako and T. Bore, Modélisation par sources ponctuelles réparties: Localisation de Sources, Instrumentation Mesure et Métrologie, vol.9, pp.165-190, 2009.

H. [. Placko, E. Clergeot, and . Santander, Physical modeling of an eddy current sensor designed for real time distance and thickness measurement in galvanization industry, IEEE Transactions on Magnetics, vol.25, issue.4, pp.2861-2863, 1989.
DOI : 10.1109/20.34307

C. [. Perez, W. Dolabdjian, L. Waché, and . Butin, Advance in magneto-resistance magnetometer performances applied in eddy current sensor arrays, in proceedings of the 16th world conference on Nondestructive Testing Adaptative inversion database for electromagnetic nondestructive evaluation, NDT&E International, pp.40192-202, 2004.

T. [. Placko and . Kundu, DPSM for Modeling Engineering Problems, 2007.
DOI : 10.1002/9780470142400

D. Plako, Dispositif d'analyse de profil utilisant des capteurs à courants de Foucault, Thèse de doctorat, 1984.

C. Ravat, Conception de multicapteurs à courants de Foucault et inversion des signaux associés pour le contrôle non destructif, Thèse de doctorat, 2009.

G. [. Rumelhart, R. J. Hinton, and . William, Learning internal representations by error propagation, Parallel Distributed Processing-Exploration in the microstructure of Cognition, 1986.

Z. Ren and A. Razek, Computational of 3-D electromagnetic field using differential forms based elements and dual formulations, International journal of Numerical Modeling: Electronic Networks, Devices and Fields, pp.81-98, 1996.

I. T. Rekanos, T. P. Theodoulidis, S. M. Panas, and T. D. Tsiboukis, 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

A. [. Rubinacci, S. Tamburino, F. Ventre, L. Villone, L. Udpa et al., Numerical simulation of magneto-optic eddy current imaging, Electromagnetic Nondestructive Evaluation, pp.180-188, 2006.

J. Gergam, E. Moulin, and . Martincic, Study for the design of eddy current micro-sensor array for non destructive testing applications, pp.7583-587, 2007.

D. [. Sabbagh, S. Radecki, B. Barkeshli, J. C. Shamee, S. A. Treece et al., Inversion of eddy-current data and the reconstruction of three-dimensional flaws, IEEE Transactions on Magnetics, vol.26, issue.2, pp.626-629, 1990.
DOI : 10.1109/20.106395

A. Sophian, G. Y. Tian, D. Taylor, and J. Rudlin, A feature extraction technique based on principal component analysis for pulsed Eddy current NDT, NDT & E International, vol.36, issue.1, pp.37-41, 2003.
DOI : 10.1016/S0963-8695(02)00069-5

A. Sophian, G. Y. Tian, D. Taylor, and J. Rudlin, Design of a pulsed eddy current sensor for detection of defects in aircraft lap-joints, Sensors and Actuators A, pp.92-98, 2002.

A. Sophian, G. Y. Tian, D. Taylor, and J. Rudlin, A feature extraction technique based on principal component analysis for pulsed Eddy current NDT, NDT & E International, vol.36, issue.1, pp.37-41, 2003.
DOI : 10.1016/S0963-8695(02)00069-5

Y. [. Tassin, P. Le-diraison, and . Joubert, A comparative study of source separation technique for the detection of buried defects in the EC NDE of aeronautical multilayered lap-joints, Studies in Applied Electromagnetics and Mechanics, pp.31125-132, 2008.

V. Thomas, Système multi-capteurs et traitement des signaux associé pour l'imagerie par courants de Foucault de pièces aéronautiques, Thèse de doctorat, 2010.

]. F. Tho95 and . Thollon, Conception et optimisation de capteurs à courant de Foucault pour la détection de defaults profonds dans des matériaux amagnétiques, Thèse de doctorat, 1995.

[. Tai, J. H. Rose, and J. C. Moulder, Thickness and conductivity of metallic layers from pulsed eddy???current measurements, Review of Scientific Instruments, vol.67, issue.11, pp.3965-3972, 1996.
DOI : 10.1063/1.1147300

A. [. Tian and . Sophian, Defect classification using a new feature for pulsed eddy current sensors, NDT & E International, vol.38, issue.1, pp.77-82, 2005.
DOI : 10.1016/j.ndteint.2004.06.001

P. [. Udpa and . Moore, Nondestructive Testing Handbook, 2004.

E. Uzal, J. C. Moulder, S. Mitra, and J. H. Rose, Impedance of coils over layered metals with continuously variable conductivity and permeability: Theory and experiment, Journal of Applied Physics, vol.74, issue.3, pp.2076-2089, 1993.
DOI : 10.1063/1.354773

E. Uzal and J. H. Rose, The impedance of eddy current probes above layered metals whose conductivity and permeability vary continuously, IEEE Transactions on Magnetics, vol.29, issue.2, pp.1869-1873, 1993.
DOI : 10.1109/20.250771

S. [. Udpa and . Udpa, Eddy current defect characterization using neural networks, Materials Evaluation, vol.48, pp.342-347, 1990.
DOI : 10.1016/0308-9126(90)90883-p

F. Vacher, F. Alves, and C. Gilles-pascaud, Eddy current nondestructive testing with giant magneto-impedance sensor, NDT & E International, vol.40, issue.6, pp.439-442, 2007.
DOI : 10.1016/j.ndteint.2007.02.002

]. S. Ver99 and . Vernon, The universal impedance diagram of the ferrite pot core eddy current transducer, IEEE Trans. Magnetics, vol.25, issue.3, pp.2639-2645, 1999.

J. [. Wrzuszczak and . Wrzuszczak, Eddy current flaw detection with neural network applications, Measurement, vol.38, issue.2, pp.132-136, 2005.
DOI : 10.1016/j.measurement.2005.04.004

J. Xin, N. Lei, L. Udpa, and S. S. Udpa, Nondestructive Inspection Using Rotating Magnetic Field Eddy-Current Probe, IEEE Transactions on Magnetics, vol.47, issue.5, pp.1070-1073, 2011.
DOI : 10.1109/TMAG.2011.2108996

H. [. Yusa, K. Huang, and . Myia, Numerical evaluation of the ill-posedness of eddy current problems to size real cracks, NDT & E International, vol.40, issue.3, pp.40185-191, 2007.
DOI : 10.1016/j.ndteint.2006.10.012

A. [. Yin and . Peyton, Thickness measurement of non-magnetic plates using multi-frequency eddy current sensors, NDT & E International, vol.40, issue.1, pp.43-48, 2007.
DOI : 10.1016/j.ndteint.2006.07.009