SYLVAIN DURAND M.A.P.5 Université Paris Descartes 45, rue des Saint Pères 75270 Paris Cedex 06 e-mail : sylvain.durand at mi.parisdescartes.fr

English version
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THEMES DE RECHERCHE

Traitement du signal et de l'image,  théorie des ondelettes, méthodes variationnelles, optimisation, théorie ergodique

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FORMATION ET DIPLOMES

Ecole Normale Supérieure de Paris, Thèse de Doctorat (dir. Yves Meyer, Université Paris IX-Dauphine), Habilitation à diriger les recherches (Université de Picardie Jules Verne)

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PUBLICATIONS

- S. Durand, Rotation invarient Riesz basis of directional wavelets, Applied and Comput. Harmonic Analysis, Elsevier, 2017. (Preprint)

- S. Durand, Y-M. Frapart, M. Kerebel, Electron paramagnetic resonance image reconstruction with total variation and curvelets regularization, Inverse Problem 33(11):114002, 2017. (Preprint)

- J. Preciozzi, P. Muse, A. Almansa, S. Durand, A. Khazaal, B. Rougé, A sparsity-based variational approach for the restoration of SMOS images from L1A data, IEEE Trans. on Geoscience and Remote Sensing 55(5):2811-2816, 2017.

- J. Preciozzi, P. Muse, A. Almansa, S. Durand, A. Khazaal, B. Rougé, SMOS images restauration from L1A data: A sparcity based variational approach, proc. of IEEE Int. Geoscience and Remote Sensing Symp., 2014.

- N. Bézière, C. Decroos, K. Mkhitaryan, E. Kish, F. Richard, S. Bigot-Marchand, S. Durand, F. Cloppet, C. Chauvet, M.-T. Corvol, F. Rannou, Y. Xu-Li, D. Mansuy, F. Peyrot, Y-M. Frapart, First combined in vivo X-ray tomography and high resolution molecular EPR imaging of mouse knee joint taking into account the disappearance kinetics of the EPR probe, Molecular Imaging 11(3): 220-8, 2012.

- J. Preciozzi, P. Muse, A. Almansa, S. Durand, F. Cabot, Y. Kerr, A. Khazaal, B. Rougé, Sparsity-based restoration of SMOS images in the presence of outliers, proc. of IEEE Int. Geoscience and Remote Sensing Symp., 2012.

- A. Almansa, J. Caron, S. Durand, Deblurring of irregularly sampled images by TV regularization in a spline space, proc. of IEEE Int. Conf. on Image Proc., 2010.

- S. Durand, J.Fadili, M.Nikolova, Multiplicative noise removal using L1 fidelity on frame coefficients, Journal of Math. Imaging and Vision 36(3): 201- 226, 2010. (Preprint)

- S. Durand, J.Fadili, M.Nikolova, Multiplicative noise cleaning via a variational method involving curvelets coefficients, SSVM, Lecture Notes in Comp. Sci., Springer, 5567:282-294, 2009.

- S. Durand, On the construction of discrete directional wavelets: HDWT, space-frequency localization and redundancy factor, SIAM Multiscale Modeling and Simulation 7(3):1325-1347, 2009. (Preprint)

- S. Bigot, D. Kachi, S. Durand, Spherical edge detector : application to omnidirectional imaging, ACIVS, Lecture Notes in Comp. Sci., Springer, 5259:554-565, 2008.

- S. Durand, M. Nikolova, Denoising of frame coefficients using l^1 data-fidelity term and edge preserving regularization, SIAM Multiscale Modeling and Simulation, 6(2):547-576, 2007. (Preprint)

- S. Durand, M-band filtering and non-redundant directional wavelets, Applied and Comput. Harmonic Analysis, Elsevier, 22(1):124-139, 2007. (Preprint)

- S. Bigot, D. Kachi, S. Durand, E.M. Mouaddib, Spherical image denoising and its application to omnidirectional imaging, proc. of VISAPP, 2007.

- S. Durand, M. Nikolova, Stability of Minimizers of Least Squares with a Non convex Regularization. Part II: Glocal Behavior, Applied Mathematics and Optimization, Springer, 53(3):259-277, 2006. (Preprint)

- S. Durand, M. Nikolova, Stability of Minimizers of Least Squares with a Non convex Regularization. Part I: Local Behavior, Applied Mathematics and Optimization, Springer, 53(2):185-208, 2006. (Preprint)

- S. Durand, Orthonormal bases of non-separable wavelets with sharp directions, proc. of IEEE Int. Conf. on Image Proc., 2005.

- F. Alter, S. Durand, J. Froment, Adapted total variation for artifact free decompression of JPEG images, Journal of Math. Imaging and Vision, Kluwer, 23:199-211, 2005.

- S. Durand, D. Schneider, Random ergodic theorems and regularizing random weights, Ergod. Th. and Dynam. Sys., 23: 1059-1092, 2004. (Preprint)

- A. Almansa, S. Durand, B. Rougé, Measuring and Improving Image Resolution by Adaptation of the reciprocal Cell, Journal of Math. Imaging and Vision, Kluwer, 21(3):235-279, 2004. (Preprint)

- F. Alter, S. Durand, J. Froment, Deblocking DCT-based compressed images with weighted total variation, proc. of IEEE Int. Conf. on Acoust., Speech and Signal Proc., 2004.

- S. Durand, J. Froment, Reconstruction of wavelet coefficients using Total Variation minimization, SIAM, Journal on scientific computing, 24(5):1754-1767, 2003. (Preprint)

- S. Durand, N. Nikolova, Restoration of wavelet coefficients by minimizing a specially designed function, proc. of IEEE Workshop on Var. and Level Set Meth. in Comp. Vision, 2:145--152, 2003.

- A. Almansa, S. Durand, B. Rougé, Measuring and Improving Image Resolution by Adaptation of the reciprocal Cell, proc. of IEEE Int. Geoscience and Remote Sensing Symp., 2003.

- S. Durand, D. Schneider, Théorèmes ergodiques aléatoires et suites de poids aléatoires régularisants, C. R. Acad. Sci. Paris, Ser. I 334, 375-378, 2002.

- P. Dhérété, S. Durand, J. Froment, B. Rougé, A best wavelet-packet basis for joined image deblurring-denoising and compression, in Proc. of SPIE Int. Symp. on Optic. Science and Tech., 2002.

- S. Durand, M. Nikolova, Stability of image restoration by minimizing regularized objective functions, in Proc. of IEEE Workshop on Var. and Level Set Meth. in Comp. Vision, 2001.

- S. Durand, J. Froment, Artifact free signal denoising with wavelets, in Proc. of IEEE Int. Conf. on Acoust., Speech and Signal Proc., Vol.6, 2001.

- S. Durand, F. Malgouyres, B. Rougé, Image deblurring, spectrum interpolation and application to satellite imaging, ESAIM: Control, Opt. and Cal. of Var., 5:445-475, 2000.

- S. Durand, Etude de la vitesse de convergence de l'algorithme en cascade dans la construction des ondelettes d'Ingrid Daubechies, Revista Matematica Iberoamericana, Vol. 12, No. 2, pp. 277-297, 1996.

- A. Bonami, S. Durand, G. Weiss, Wavelets obtained by continuous deformations of the Haar wavelet, Revista Matematica Iberoamericana, Vol. 12, No. 1, pp. 1-18, 1996.

- S. Durand, R. Feres, Bounded representation of amenable groupoids and transference, non soumis, 1995.

- S. Durand, Convergence of cascade algorithms introduced by I. Daubechies, Numer. Algo., 4:307-322, 1993.

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ENSEIGNEMENTS

- Analyse fonctionnelle

- Méthodes variationnelles, problèmes inverses, restauration

- Distributions et théorie de l'échantillonnage

- Topologie

- Projets tutorés