G. Aubert and L. Vese, A Variational Method in Image Recovery, SIAM Journal on Numerical Analysis, vol.34, issue.5, pp.1948-1979, 1997.
DOI : 10.1137/S003614299529230X

Y. Bachalany, S. Riachy, M. Mboup, and J. Richard, Diffrentiation numrique multivariable II : projection orthogonale et filtrage RIF

J. Barbot, D. Boutat, and E. T. Floquet, An observation algorithm for nonlinear systems with unknown inputs, Automatica, vol.45, issue.8, 1970.
URL : https://hal.archives-ouvertes.fr/inria-00391819

A. Brook, R. Kimmel, and N. A. Sochen, Variational Segmentation for Color images, International Journal of Computer Vision, vol.18, pp.247-268, 2003.

A. Bruhn, J. Weickert, and C. Schnörr, Lucas/Kanade Meets Horn/Schunck: Combining Local and Global Optic Flow Methods, International Journal of Computer Vision, vol.61, issue.3, pp.211-231, 2005.
DOI : 10.1023/B:VISI.0000045324.43199.43

T. E. Duncan, P. Mandl, and B. Pasik-duncan, Numerical differentiation and parameter estimation in higher-order linear stochastic systems, IEEE Transactions on Automatic Control, vol.41, issue.4, pp.522-532, 1996.
DOI : 10.1109/9.489273

M. Fliess and C. Join, Intelligent PID controllers " 16 th Mediterranean conference on control and automation, pp.25-27, 2008.

M. Fliess and C. Join, Model free control and Intelligent PID controllers : Towards a possible trivialization of nonlinear control ? " 15 th IFAC Symposium on system identification, 2009.

M. Fliess and C. Join, Towards new technical indicators for trading systems and risk management " 15 th IFAC symposium on system identification, 2009.

M. Fliess and C. Join, A mathematical proof of the existence of trends in financial time series " Systems Theory : Modelling, Analysis and Control, 2009.

M. Fliess, C. Join, M. Mboup, and A. Sedoglavic, Estimation des dérivées d'un signal multidimensionnel avec application aux images et aux videos, Actes 20 e Col. GRETSI, Louvain-laneuve 2005

M. Fliess, C. Join, M. Mboup, and H. Sira-ramirez, Compression diff??rentielle de transitoires bruit??s, Comptes Rendus Mathematique, vol.339, issue.11, pp.821-826, 2004.
DOI : 10.1016/j.crma.2004.10.003

M. Fliess, C. Join, M. Mboup, and H. Sira-ramirez, Analyse et representation de signaux transitoires : application à la compression, au débruitage et à la detection de ruptures, Actes 20 e Coll. GRETSI, 2005.

M. Fliess, C. Join, and H. Sira-ramrez, Non-linear estimation is easy Accssible sur http, Int. J. Modelling Identification Control, vol.3, 2008.

M. Fliess and H. Sira-ramirez, An algebraic framework for linear identification, ESAIM: Control, Optimisation and Calculus of Variations, vol.9, pp.151-168, 2003.
DOI : 10.1051/cocv:2003008

P. Gédouin, C. Join, E. Delaleau, J. Bourgeot, S. Arbab et al., Model free control of shape memory alloys and antagonistic actuators " 17 th IFAC world congress Seoul Korea, 2008.

B. Horn and B. Schunck, Determining optical flow, Artificial Intelligence, vol.17, issue.1-3, pp.185-203, 1981.
DOI : 10.1016/0004-3702(81)90024-2

S. Ibrir and S. Diop, A numerical procedure for filtering and efficient high-order signal differenciation, Int. J. Appl. Math. Compt. Sci, vol.14, pp.201-208, 2004.

C. Join and S. Tabbone, Robust curvature extrema detection based on new numerical derivation " . Advanced Concepts for Intelligent Vision Systems, ACVIS 2008
URL : https://hal.archives-ouvertes.fr/inria-00300799

A. Levant, Higher-order sliding modes, differentiation and output-feedback control, International Journal of Control, vol.76, issue.9-10, pp.924-941, 2003.
DOI : 10.1080/0020717031000099029

M. Mboup, Parameter estimation for signals described by differential equations, Applicable Analysis, vol.26, issue.1, pp.29-52, 2009.
DOI : 10.1109/MED.2008.4602161

M. Mboup, C. Join, and M. Fliess, Numerical differentiation with annihilators in noisy environment, Numerical Algorithms, vol.14, issue.12, pp.1017-1398, 2008.
DOI : 10.1007/s11075-008-9236-1

URL : https://hal.archives-ouvertes.fr/inria-00319240

J. Mikusinski, Operational calculus, 1983.

J. M. Morel, S. Solimini, and A. Brook, Segmentation of image: by variational methods: A constructive approach, Revista Matem??tica Complutense, vol.1, issue.1, pp.169-182, 1998.
DOI : 10.5209/rev_REMA.1988.v1.n1.18194

S. Riachy, Y. Bachalany, M. Mboup, and J. Richard, An algebraic method for multi-dimensional derivative estimation " . 16 th Mediterranean conference on control and automation, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00275461

J. Weickert and C. Schnörr, Variational optic flow computation with a spatio-temporal smoothness constraint, Journal of Mathematical Imaging and Vision, vol.14, issue.3, pp.245-255, 2001.
DOI : 10.1023/A:1011286029287

J. Weickert, Anisotropic diffusion in image processing, 1998.