François-Xavier Vialard

Assistant Professor at University Paris-Dauphine (Paris 9) - Ceremade

Address: Université Paris-Dauphine, CEREMADE UMR CNRS 7534, Place du Maréchal De Lattre De Tassigny
75775 PARIS CEDEX 16 - FRANCE, Tel.: +33 (0)1 44-05-40-61

E-mail (remove ".nospam" and "nospam."): fxvialard.nospam@nospam.normalesup.org

Momentum scalar map on the surface of the brain

Research area

  • Mathematical and modelling aspects of Computational Anatomy
  • Analytical, geometrical and computational aspects of large deformation by diffeomorphisms (LDDMM)
  • Random shape evolutions in the LDMM framework.

    • Current research interests:

  • Higher-order models for Computational Anatomy. Have a look at the slides of my talk at the Workshop STIA-MICCAI and the associated paper written with Alain Trouvé.
  • Optimal control methods, variational data assimilation,
  • Statistics on high-dimensional Riemannian manifolds,
  • Growth of the brain's shape at an early age of development: Have a look at two movies in collaboration with L.Risser SurfaceRepresentation and SlicesEvolution contained and explained in these STIA-MICCAI slides.

    • Awards and Grants Co-author with Laurent Risser and Darryl Holm as the Principal Investigator of the ERC granted project 2010: Five Grand Challenges in Computational Anatomy.

    Articles, conference papers and working papers:

  • Invariant higher-order variational problems II. arXiv link (journal paper - submitted) F. Gay-Balmaz, D. D. Holm, D. M. Meier, T. S. Ratiu and F.X. Vialard.
  • Mixture of Kernels and Iterated semidirect Product of Diffeomorphisms Groups. Bruveris M., Risser L., Vialard F.X., journal paper, submitted
  • Construction of Diffeomorphic Spatio-temporal Atlases using Kärcher means and LDDMM: Application to Early Cortical Development - Workshop on Image Analysis of Human Brain Development - (MICCAI-IAHBD 2011) - Risser L., Vialard F.X., Serag A., Aljabar P., Rueckert D.
  • Geodesic Regression. Niethammer M., Huang Y., Vialard F.-X., MICCAI 2011 (link to Marc Niethammer's webpage)
  • Diffeomorphic Atlas Estimation using Karcher Mean and Geodesic Shooting on Volumetric Images. Medical Image Understanding and Analysis (MIUA'11). London, 2011. Vialard F.X., Risser L., Holm D.D., Rueckert D.
  • Invariant higher-order variational problems. arXiv link (journal paper - Communications in Mathematical Physics) F. Gay-Balmaz, D. D. Holm, D. M. Meier, T. S. Ratiu and F.X. Vialard.
  • Diffeomorphic 3D Image Registration via Geodesic Shooting using an Efficient Adjoint Calculation. (published in IJCV) Vialard F.X., Risser L., Rueckert D., Cotter C.J.
  • Simultaneous Multiscale Registration using Large Deformation Diffeomorphic Metric Mapping. (accepted for publication in IEEE TMI) Risser L., Vialard F.X., Wolz R., Murgasova M., Holm D. and Rueckert D.
  • A Second-Order Model for Time-Dependent Data Interpolation: Splines on Shape Spaces, Workshop Miccai 2010 STIA: Spatio-Temporal Image Analysis for Longitudinal and Time-Series Image Data, with A.Trouvé.
  • Coronary Motion Estimation Using Probability Atlas and Diffeomorphic Registration from CTA. International Workshop on Medical Imaging and Augmented Reality (MIAR'10) - Lecture Notes in Computer Science Beijing, 2010. Zhang D.P., Risser, L., Vialard F.X., Friman O., Neefjes L., Mollet N., Niessen W., Rueckert D.
  • Simultaneous Fine and Coarse Diffeomorphic Registration: Application to the Atrophy Measurement in Alzheimer's Disease - proceedings Springer's LNCS of MICCAI 2010 (Beijing), L.Risser, F.X.Vialard, R.Wolz, D.D.Holm and D.Rueckert.
  • Large diffeomorphic registration using fine and coarse strategies. With L.Risser, F.X. Vialard, M.Murgasova, D.Rueckert and D.D.Holm, in the proceedings - Springer's LNCS of WBIR 2010.
  • Extension to Infinite Dimensions of a Stochastic Second-Order Model associated with the Shape Splines. (pdf) (Submitted, 2010)
  • Shape Splines and Stochastic Shape Evolutions: A Second-Order Point of View. (pdf) (with Alain Trouvé, 2010, accepted for publication in Quarterly of Applied Mathematics)
  • Extension de l'appariement d'images par difféomorphismes aux fonctions à variation bornée. (Note au C.R.A.S), with Filippo Santambrogio, 2008.
  • A semi-differentiation lemma on BV functions. (CVGMT website) (with Filippo Santambrogio, submitted, 2008)
  • Hamiltonian approach to geodesic image matching. (pdf) (working paper)
  • Correlation, CDOs of ABS and the subprime crisis. With Frederic Patras and Jean-Pierre Lardy, published in Economica Eds: Christian Gourieroux and Monique Jeanblanc.

    PhD thesis defended in 2009 (Alain Trouvé was my advisor):

  • Hamiltonian Approach to Shape Spaces in a Diffeomorphic Framework : From the Discontinuous Image Matching Problem to a Stochastic Growth Model. HAL website

    • French title: Approche Hamiltonienne pour les espaces de formes dans le cadre des difféomorphismes: du recalage d’images discontinues à un modèle stochastique de croissance de formes

    Talks:

  • ARC BrainVar (Cachan, Sept. 2007): "Approche Hamiltonienne pour le recalage d'image"
  • Workshop Geometry and statistics on shape spaces (Bonn, 2008): "Hamiltonian image matching"
  • Séminaire de mathematiques appliquées de Johns Hopkins University (Baltimore, Sept. 2008), "From the Hamiltonian image matching problem to a stochastic growth model."
  • Workshop on Shape spaces: (Annapolis, Avril 2009)
  • Soutenance de thèse (Cachan, Mai 2009)
  • CardioMaths seminar (Imperial College, Juin 2009)
  • Groupe de travail de mathématiques appliquées de l'ENS Cachan-Bretagne (Nov 2009).
  • Groupe de travail calcul des variations - Université Paris-Dauphine (March 2010).
  • Workshop on Computational Anatomy and mathematics on shape spaces - Imperial College (May 2010).
  • Workshop Miccai: Spatio-Temporal Image Analysis for Longitudinal and Time-Series Image Data - Beijing (September 2010).
  • AMSTAT Seminar of Warwick University, March 2011.
  • Groupe de travail, Université Paris 5 - Descartes, March 2011.
  • Workshop on Shape spaces: Imperial College London, 2011.
  • NatImages , IHP November 9th 2011.
  • SIGMA , Université Paris 6, November 18th, 2011.

    • Enseignements: (Teaching in french)

  • Une introduction à Matlab pour l'option A de l'agrégation de mathématiques (Probabilités et statistiques).
  • Un TP sur Monte-Carlo.
  • Un TP sur la gestion de stock.
  • Un TP sur les chaînes de Markov.

    • Divers:

  • Voici un développement original d'une petite question mathématique paru sous une forme enrichie dans la RMS (revue de la filière mathématique), revue pour les prépas et premières années d'université. Cette preuve de l'additivité géométrique d'une propriété analytique peut constituer un développement pour une leçon d'agrégation sur les actions de groupes sur un ensemble.
  • Une note sur les isotopies. (pdf)
  • GMO detection statistical software OPACSA.
  • Mon mémoire de magistère. (pdf)

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