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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 in their applications in Image processing.

Contact

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

LMBA
Centre Yves Coppens
Campus de Tohannic
56017 Vannes Cedex
FRANCE

Research interests

Preprint

  1. C. Esser and B. Vedel. Counter-examples to multifractal formalisms.
  2. Z. C. Vazia, A. Bousse, B. Vedel, F. Vermet, Z. Wang, T. Dassow, J. Froment, J.P. Tasu, D. Visvikis, J. Froment. Spectral Diffusion Posterior Sampling for Synergistic Reconstruction in Spectral Computed Tomography.

Journal Papers

  1. C. Esser, S. Jaffard and B. Vedel. Regulartiy properties of random wavelet series, To appear in Theory of Probability and Mathematical Statistics.
  2. Z. Wang, A. Bousse, F. Vermet, J. Froment, B. Vedel, A. Perelli, J.P. Tasu, D. Visvikis. Uconnect: Synergistic Spectral CT Reconstruction with U-Nets Connecting the Energy bins, IEEE Transactions on Radiation and Malsma Medical Sciences, 2023.
  3. M. Schäfer, T. Ullrich, B. Vedel. Hyperbolic wavelet analysis of classical isotropic and anisotropic Besov-Sobolev spaces. In J. Fourier Anal. Appl., 27:51, 2021
  4. 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.
  5. P. Abry, M. Clausel, S. Jaffard, S.G. Roux, and B.Vedel. "The hyperbolic wavelet transform: an efficient tool for multifractal analysis of anisotropic textures." In Revista Matematica Iberoamericana, 1:1--36, 2015.
  6. 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.
  7. M. Clausel, B. Vedel, Explicit constructions of operator scaling Gaussian fields, Fractals, vol 19 (1), pp 101-111 (2011)
  8. 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)
  9. 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
  10. B. Vedel. Flat wavelet bases adapted to the homogeneous Sobolev spaces. Math. Nachrichten. Vol 282, Issue I (2009) 104-124
  11. B. Vedel. Besov Characteristic of a distribution. Revista Matematica Complutense, vol. 20, num2, 407-421. (2007)
  12. B. Vedel. Confinement of the infrared divergence of the Mumford Process. Appl. and Comp. Harm. Anal., 2006, 21, pp 305-323.
  13. 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)
  14. Book chapters

  15. M. Clausel, B. Vedel, An optimality results 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).
  16. 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).
  17. 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).
  18. 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).
  19. Conferences : papers and posters

  20. Z. Wang, A. Bousse, F. Vermet, N. Pinton, J. Froment, B. Vedel, J.P. Tassu, D. Visvikis. Synergestic Multi-Energy Reconstruction with a Deep Penalty "Connecting the Energies". IEEE Nuclear Science Symposium Medical Imaging Conference and Room Temperature Semiconductor Conference} (2022)
  21. 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.
  22. 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)
  23. 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.
  24. 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
  25. 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
  26. 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.
  27. 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.

Main co-authors

Please visit their webpages !

PhD Students and postdoc

  • Corentin Vazia : PhD Student (co-advisor with J. Froment, A. Bousse, F. Vermet)
  • Christelle Davezac : PhD student (co-advisor with J. Froment)
  • Anne-Charlotte Philippe : post-doctoral researcher, Oct. 2018 - 2020 (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.