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I am an associate professor since 2008 at the Université de Bretagne Sud in Vannes (France). I am interested in harmonic analysis, multrifractal theory, wavelet analysis and to their applications in Image processing.

Contact

Email : beatrice.vedel[AT]univ-ubs.fr
(change [AT] into @)
Phone : +33 2 97 01 71 51

LMBA
Centre Yves Coppens
Campus de Tohannic
56017 Vannes Cedex
FRANCE

Research interests

Publications

In preparation

Hyperbolic wavelet analysis of classical isotropic and anisotropic Besov-Sobolev spaces, with Tino Ullrich.

Journal Papers

  • P. Abry, S. G. Roux, H. Wendt, P. Messier, A. G. Klein, N. Tremblay, P. Borgnat, S. Jaffard, B. Vedel, J. Coddington, L. Daffner, "Multiscale Anisotropic Texture Analysis and Classification of Photographic Prints: Art scholarship meets image processing algorithms," IEEE Signal Proces. Mag., vol. 32, no. 4, pp. 18-27, July 2015.
  • P. Abry, M. Clausel, S. Jaffard, S.G. Roux, and B.Vedel. In Revista Matematica Iberoamericana, 1:1--36, 2015.
  • S.G. Roux, M. Clausel, B. Vedel, S. Jaffard, and P. Abry. "Self-similar anisotropic texture analysis: the hyperbolic wavelet transform contribution." In Transaction on Image Processing, 22(11):4353 -- 4363, 2013.
  • M. Clausel, B. Vedel, Explicit constructions of operator scaling Gaussian fields, Fractals, vol 19 (1), pp 101-111 (2011)
  • H. Wendt, P. Abry, S.G. Roux, S. Jaffard, B. Vedel. Analyse multifractale d'image: l'apport des coefficients dominants, Traitement du Signal, vol. 25, no. 4-5 (2009) (journal national)
  • B. Vedel. Wavelet bases with pseudo-polynomials and orthonormal basis for confinement of the infrared divergence. J. Four. Anal. Appl. Vol 15, n1 (2009) 101-123
  • B. Vedel. Flat wavelet bases adapted to the homogeneous Sobolev spaces. Math. Nachrichten. Vol 282, Issue I (2009) 104-124
  • B. Vedel. Besov Characteristic of a distribution." Revista Matematica Complutense, vol. 20, num2, 407-421. (2007)
  • B. Vedel. Confinement of the infrared divergence of the Mumford Process. Appl. and Comp. Harm. Anal., 2006, 21, pp 305-323.
  • B. Vedel. Bases d'ondelettes adaptées au règlement de la divergence infra-rouge (Wavelet bases adapted to the settlement of infrared divergence), C.R. Acad. Sci. Paris, Ser. l 341 (2005)

    • Book chapters

  • M. Clausel, B. Vedel, An optimality result about sample paths properties of Operator Scaling Gaussian Random Fields in anisotropic Besov spaces. Annals of the University of Bucharest (mathematical series), Proceedings of the "XIème Colloque Franco-Roumain de Math\'ematiques Appliqu\'ees" 4 (LXII), pp 375-409 (2013).
  • S. Jaffard, P. Abry, S.G. Roux, B. Vedel, H. Wendt. The contribution of wavelets in multifractal analysis , in Wavelet Methods in Mathematical Analysis and Engineering, A. Damlamian, S. Jaffard, Eds., Series in contemporary applied mathematics, Vol. 14, pp. 55-98, World scientific publishing, (2010).
  • B. Vedel, H. Wendt, P. Abry, S. Jaffard, "On the impact of the number of vanishing moments on the dependence structures of compound Poisson motion and fractional Brownian motion in multifractal time," in Dependence in Probability and Statistics, P. Doukhan, G. Lang, D. Surgailis, Eds., Lecture Notes in Statistics, Vol. 200, pp. 71-102, Springer, (Oct. 2010).
  • P. Abry, S. Jaffard, S.G. Roux, B. Vedel, H. Wendt. Wavelet decomposition of measures: Application to multifractal analysis of images, in Unexploded Ordnance Detection and Mitigation: Proceedings of the NATO Advanced Study Institute on Unexploded Ordnance Detection and Mitigation, J. Byrnes, Ed., pp. 1-20, Springer, (2009).

    • Conferences : papers and posters

  • J. Mifdal, B. Coll, N. Courty, J. Froment, B. Vedel Hyperspectral and Multispectral Wasserstein barycenter for image fusion, IGARSS 2017, Jul 2017, Houston, United States.
  • J. Mifdal, B. Coll, N. Courty, J. Froment, B. Vedel, Hyperspectral and multispectral image fusion based on optimal transport, Workshop SIGMA'2016 : SIGNAL, IMAGE, GEOMETRY, MODELLING, APPROXIMATION, Oct 2016, Marseille, France. (Poster session)
  • S.G. Roux, P. Abry, B. Vedel, S. Jaffard, H. Wendt, "Hyperbolic wavelet leaders for anisotropic multifractal texture analysis," IEEE Int. Conf. Image Proces. (ICIP), Phoenix, AZ, USA, Sept. 2016.
  • S. Postec, J. Froment, B. Vedel, Non-Local means est un algorithme de débruitage local, XXIVe Colloque GRETSI - Traitement du Signal et des Images, Sep 2013, Brest, France. pp.ID107, 2013
  • S. Postec, J. Froment, B. Vedel, Un algorithme de débruitage Non-Local means espace-fréquence, XXIVe Colloque GRETSI - Traitement du Signal et des Images, Sep 2013, Brest, France. pp.ID181, 2013
  • S.G. Roux, B. Vedel, S. Jaffard, and P. Abry. "Coefficients dominants de la transformée hyperbolique en ondelettes 2d: Application à l'analyse de textures invariantes d'échelle, multifractales et anisotropes." In proceedings of the "XXIV colloque sur le Traitement du Signal et des Images GRETSI", Brest, France, 2013.
  • S. G. Roux, M. Clausel, B. Vedel, S. Jaffard and P. Abry. "Transformée hyperbolique en ondelettes 2D pour la caractérisation des images autosimilaires anisotropes." In proceedings of the XXIII ième colloque GRETSI, Bordeaux, France, 2011.

    • Manuscript

    Règlement de la divergence infra-rouge dans des bases d'ondelettes adaptées, Thèse de doctorat (PhD) - Advisor : Pascal Auscher

    Main co-authors

    Please visit their webpages !

    PhD Students and postdocs

  • Anne-Charlotte Philippe : post-doctoral researcher, since Oct. 2018 (project with industrial partners)
  • Stéphanie Le Garrec : PhD Student (co-advisor with J. Froment)
  • Kim Phuc Tran : post-doctoral researcher, Dec 2017- Sept. 2018 (project with industrial partners)

    • Teaching

  • I tought a mini-course 'Introduction à l'analyse en ondelettes' at the Journées du GdR Analyse Fonctionnelle, Harmonique et Probabilités en 2016
  • Master degrees courses : Fourier Analysis and distributions, PDE's, Image processing
  • Other courses : Topology, probabilities, numeric simulations, basics.