D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, Applied Mathematical Sciences, 1998.

J. A. Hudson and J. R. Heritage, The use of the Born approximation in seismic scattering problems, Geophysical Journal International, vol.66, issue.1, pp.221-240, 1981.
DOI : 10.1111/j.1365-246X.1981.tb05954.x

A. J. Devaney, Inverse-scattering theory within the Rytov approximation, Optics Letters, vol.6, issue.8, pp.374-376, 1981.
DOI : 10.1364/OL.6.000374

W. C. Chew and Y. M. Wang, 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

F. Li, Q. H. Liu, and L. Song, Three-Dimensional Reconstruction of Objects Buried in Layered Media Using Born and Distorted Born Iterative Methods, IEEE Geoscience and Remote Sensing Letters, vol.1, issue.2, pp.107-111, 2004.
DOI : 10.1109/LGRS.2004.826562

R. E. Kleinman, P. M. Van-den, and . Berg, 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

P. M. Van-den, R. E. Berg, and . Kleinman, A contrast source inversion method, Inverse Problems, vol.13, pp.1607-1620, 1997.

H. Harada, D. J. Wall, T. Takenaka, and M. Tanaka, Conjugate gradient method applied to inverse scattering problem, IEEE Transactions on Antennas and Propagation, vol.43, issue.8, pp.784-792, 1995.
DOI : 10.1109/8.402197

A. Franchois and C. Pichot, 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

A. D. Klose and A. H. Hielscher, Quasi-Newton methods in optical tomographic image reconstruction, Inverse Problems, vol.19, issue.2, pp.387-409, 2003.
DOI : 10.1088/0266-5611/19/2/309

O. Magnin, Utilisation des ondes sismiques pour la caractérisation d'objets enfouis ContributionàContributionà la mise au point d'une méthode d'imagerie sismique de trés haute résolution. ApplicationàApplicationà l'imagerie des fondations de pylônes du Réseau de Transport d'Electricité, 2008.

P. R. Williamson, A guide to the limits of resolution imposed by scattering in ray tomography, GEOPHYSICS, vol.56, issue.2, pp.202-207, 1991.
DOI : 10.1190/1.1443032

R. G. Pratt, Seismic waveform inversion in the frequency domain, Part 1: Theory and verification in a physical scale model, GEOPHYSICS, vol.64, issue.3, pp.888-901, 1999.
DOI : 10.1190/1.1444597

W. B. Beydoun and M. Mendes, -Migration/Inversion, Geophysical Journal International, vol.97, issue.1, pp.151-160, 1989.
DOI : 10.1111/j.1365-246X.1989.tb00490.x

URL : https://hal.archives-ouvertes.fr/hal-00871069

A. Abubakar, W. Hu, T. M. Habashy, P. M. Van-den, and . Berg, Application of the finite-difference contrast-source inversion algorithm to seismic full-waveform data, GEOPHYSICS, vol.74, issue.6, pp.47-58, 2009.
DOI : 10.1190/1.3250203

A. Askan, V. Akcelik, J. Bielak, and O. Ghattas, Full Waveform Inversion for Seismic Velocity and Anelastic Losses in Heterogeneous Structures, Bulletin of the Seismological Society of America, vol.97, issue.6, pp.1990-2008, 2007.
DOI : 10.1785/0120070079

D. Vautrin, M. Voorons, J. Idier, Y. Goussard, S. Kerzalé et al., Seismic imaging of transmission overhead line structure foundations, Computational Imaging IX, 2011.
DOI : 10.1117/12.872488

URL : https://hal.archives-ouvertes.fr/hal-00810880

A. Tarantola, Inversion of seismic reflection data in the acoustic approximation, GEOPHYSICS, vol.49, issue.8, pp.1259-1266, 1984.
DOI : 10.1190/1.1441754

R. G. Pratt and M. H. Worthington, INVERSE THEORY APPLIED TO MULTI-SOURCE CROSS-HOLE TOMOGRAPHY.. PART 1: ACOUSTIC WAVE-EQUATION METHOD1, Geophysical Prospecting, vol.1, issue.1, pp.287-310, 1990.
DOI : 10.1190/1.1442237

L. Sirgue and R. G. Pratt, Efficient waveform inversion and imaging: A strategy for selecting temporal frequencies, GEOPHYSICS, vol.69, issue.1, pp.231-248, 2004.
DOI : 10.1190/1.1649391

S. Kerzalé, A. Girard, and G. D. Urso, Simulation des ondes sismiques dans la subsurface, EDF R&D, 2009.

E. H. Saenger, N. Gold, and S. A. Shapiro, Modeling the propagation of elastic waves using a modified finite-difference grid, Wave Motion, vol.31, issue.1, pp.77-92, 2000.
DOI : 10.1016/S0165-2125(99)00023-2

D. Vautrin and M. Voorons, Régularisation et optimisation pour l'imagerie sismique des fondations de pylônes, 2010.

R. Martin, D. Komatitsch, and A. Ezziani, An unsplit convolutional perfectly matched layer improved at grazing incidence for seismic wave propagation in poroelastic media, GEOPHYSICS, vol.73, issue.4, pp.51-61, 2008.
DOI : 10.1190/1.2939484

J. Virieux and S. Operto, An overview of full-waveform inversion in exploration geophysics, GEOPHYSICS, vol.74, issue.6, pp.127-152, 2009.
DOI : 10.1190/1.3238367

URL : https://hal.archives-ouvertes.fr/hal-00457989

R. Brossier, S. Operto, and J. Virieux, Seismic imaging of complex onshore structures by 2D elastic frequency-domain full-waveform inversion, GEOPHYSICS, vol.74, issue.6, pp.105-118, 2009.
DOI : 10.1190/1.3215771

URL : https://hal.archives-ouvertes.fr/insu-00418640

E. Crase, C. Wideman, M. Noble, and A. Tarantola, Nonlinear elastic waveform inversion of land seismic reflection data, Journal of Geophysical Research, vol.51, issue.2, pp.4685-4703, 1992.
DOI : 10.1029/90JB00832

URL : https://hal.archives-ouvertes.fr/hal-01113360

C. Ravaut, S. Operto, L. Improta, J. Virieux, A. Herrero et al., Multiscale imaging of complex structures from multifold wide-aperture seismic data by frequency-domain full-waveform tomography: application to a thrust belt, Geophysical Journal International, vol.159, issue.3, pp.1032-1056, 2004.
DOI : 10.1111/j.1365-246X.2004.02442.x

URL : https://hal.archives-ouvertes.fr/hal-00407340

S. Operto, J. Virieux, J. Dessa, and G. Pascal, Crustal seismic imaging from multifold ocean bottom seismometer data by frequency domain full waveform tomography: Application to the eastern Nankai trough, Journal of Geophysical Research, vol.108, issue.B4, pp.9306-9307, 2006.
DOI : 10.1029/2005JB003835

URL : https://hal.archives-ouvertes.fr/insu-00355209

F. Bleibinhaus, J. A. Hole, T. Ryberg, and G. S. Fuis, Structure of the California Coast Ranges and San Andreas Fault at SAFOD from seismic waveform inversion and reflection imaging, Journal of Geophysical Research, vol.57, issue.1, 2007.
DOI : 10.1029/2006JB004611

C. Shin and Y. H. Cha, Waveform inversion in the Laplace domain, Geophysical Journal International, vol.173, issue.3, pp.922-931, 2008.
DOI : 10.1111/j.1365-246X.2008.03768.x

P. Charbonnier, L. Blanc-feraud, G. Aubert, and M. Barlaud, 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

S. Michael and . Zhdanov, Geophysical inverse theory and regularization problems, 2002.

C. Gélis, J. Virieux, and G. Grandjean, Two-dimensional elastic full waveform inversion using Born and Rytov formulations in the frequency domain, Geophysical Journal International, vol.168, issue.2, pp.605-633, 2007.
DOI : 10.1111/j.1365-246X.2006.03135.x

C. Bunks, Multiscale seismic waveform inversion, GEOPHYSICS, vol.60, issue.5, pp.1457-1473, 1995.
DOI : 10.1190/1.1443880

X. Campman and C. Dwi-riyanti, Non-linear inversion of scattered seismic surface waves, Geophysical Journal International, vol.171, issue.3, pp.1118-1125, 2007.
DOI : 10.1111/j.1365-246X.2007.03557.x

J. Nocedal and S. J. Wright, Numerical Optimization, 1999.
DOI : 10.1007/b98874

D. Geman and C. Yang, Nonlinear image recovery with half-quadratic regularization, IEEE Transactions on Image Processing, vol.4, issue.7, pp.932-946, 1995.
DOI : 10.1109/83.392335

N. J. Carino, The Impact-Echo Method: An Overview, Structures 2001, 2001.
DOI : 10.1061/40558(2001)15

S. J. Norton, Iterative algorithms for computing the shape of a hard scattering object: Computing the shape derivative, The Journal of the Acoustical Society of America, vol.116, issue.2, pp.1002-1008, 2004.
DOI : 10.1121/1.1771611

C. Soussen and A. Mohammad-djafari, Polygonal and Polyhedral Contour Reconstruction in Computed Tomography, IEEE Transactions on Image Processing, vol.13, issue.11, pp.1507-1523, 2004.
DOI : 10.1109/TIP.2004.836159

I. T. Rekanos, Shape Reconstruction of a Perfectly Conducting Scatterer Using Differential Evolution and Particle Swarm Optimization, IEEE Transactions on Geoscience and Remote Sensing, vol.46, issue.7, pp.1967-1974, 2008.
DOI : 10.1109/TGRS.2008.916635

E. L. Miller, M. Kilmer, and C. Rappaport, A new shape-based method for object localization and characterization from scattered field data, IEEE Transactions on Geoscience and Remote Sensing, vol.38, issue.4, pp.1682-1696, 2000.
DOI : 10.1109/36.851967

M. El-shenawee and E. L. Miller, Spherical harmonics microwave algorithm for shape and location reconstruction of breast cancer tumor, IEEE Transactions on Medical Imaging, vol.25, issue.10, pp.1258-1271, 2006.
DOI : 10.1109/TMI.2006.881377

M. Li, A. Abubakar, and T. M. Habashy, A Three-Dimensional Model-Based Inversion Algorithm Using Radial Basis Functions for Microwave Data, IEEE Transactions on Antennas and Propagation, vol.60, issue.7, pp.3361-3372, 2012.
DOI : 10.1109/TAP.2012.2196931

J. A. Sethian, Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science, 1999.

S. J. Osher and R. P. Fedkiw, Level Set Methods and Dynamic Implicit Surfaces, 2002.

A. Litman, D. Lesselier, and F. Santosa, Reconstruction of a two-dimensional binary obstacle by controlled evolution of a level-set, Inverse Problems, vol.14, issue.3, pp.685-706, 1998.
DOI : 10.1088/0266-5611/14/3/018

URL : https://hal.archives-ouvertes.fr/hal-00438279

R. Ferraye, J. Dauvignac, and C. Pichot, An inverse scattering method based on contour deformations by means of a level set method using frequency hopping technique, IEEE Transactions on Antennas and Propagation, vol.51, issue.5, pp.1100-1113, 2003.
DOI : 10.1109/TAP.2003.811468

O. Dorn and D. Lesselier, Level set methods for inverse scattering, Inverse Problems, vol.22, issue.4, pp.67-131, 2006.
DOI : 10.1088/0266-5611/22/4/R01

URL : https://hal.archives-ouvertes.fr/hal-00637348

A. Aghasi and J. Romberg, Sparse Shape Reconstruction, SIAM Journal on Imaging Sciences, vol.6, issue.4, pp.2075-2108, 2013.
DOI : 10.1137/130911573

M. Sussman, P. Smereka, and S. Osher, A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow, Journal of Computational Physics, vol.114, issue.1, pp.146-159, 1994.
DOI : 10.1006/jcph.1994.1155

H. Zhao, T. Chan, B. Merriman, and S. Osher, A Variational Level Set Approach to Multiphase Motion, Journal of Computational Physics, vol.127, issue.1, pp.179-195, 1996.
DOI : 10.1006/jcph.1996.0167

R. H. Byrd, P. Lu, J. Nocedal, and C. Zhu, A Limited Memory Algorithm for Bound Constrained Optimization, SIAM Journal on Scientific Computing, vol.16, issue.5, pp.1190-1208, 1995.
DOI : 10.1137/0916069

N. A. Schmid, Y. Bresler, and P. Moulin, Complexity regularized shape estimation from noisy Fourier data, Proceedings. International Conference on Image Processing, pp.453-456, 2002.
DOI : 10.1109/ICIP.2002.1039985

J. Rissanen, Stochastic Complexity in Statistical Inquiry, World Scientific, 1998.
DOI : 10.1142/0822