Olivier Faugeras

Recent selected Publications

• Jonathan Touboul, Olivier Faugeras. A characterization of the first hitting time of double integral processes to curved boundaries. Advances in Applied Probability vol. 40, number 2 (in press).
• Olivier Faugeras, François Grimbert, Jean-Jacques Slotine. Absolute Stability and Complete Synchronization in Neural Fields.  SIAM Journal of Applied Mathematics (in Press).
• Olivier Faugeras, Romain Veltz, François Grimbert. Persistent neural states: stationary localized activity patterns in nonlinear continuous n-population, q-dimensional neural networks. Neural Computation (in Press).
• Iasonas Kokkinos,  Rachid Deriche, Olivier Faugeras, Petros Maragos. Computational analysis and learning for a biologically motivated model of boundary detection. Neurocomputing, Volume 71, Issues 10-12, June 2008, Pages 1798-1812.
  
  
  

• Olivier Faugeras, Christophe Lenglet, Théodore Papadopoulo, Rachid Deriche. Non Rigid Registration of Diffusion Tensor Images. RR-6104.
  
• Olivier Faugeras, François Grimbert, Jean-Jacques Slotine. Stability and Synchronization in Neural Fields. RR-6212. Accepted for publication in the SIAM Journal of Applied Mathematics.
  
• Jonathan Touboul, Olivier Faugeras. First hitting time of Double Integral Processes to curved boundaries. RR-6264. Accepted for publication in the Journal of Applied Probability.
• Jean-Philippe Pons, Renaud Keriven, Olivier Faugeras. Multi-view stereo reconstruction and scene flow estimation with a global image-based matching score. International Journal of Computer Vision, 72:2, apr 2007, p. 179–193.
• Jonathan Touboul, Olivier Faugeras. The statistics of spikes trains: a stochastic calculus approach. RR-6224.  Journal of Physiology - Paris, vol. 101/1-3, p. 78–98,  dec 2007.
  
• Olivier Faugeras, Yves Fregnac, Manuel Samuelides. A Future for Systems and Computational Neuroscience in France?.  Journal of Physiology - Paris, vol. 101/1-3, 2007, p. 1–8, dec 2007.

• Jan Kybic, Maureen Clerc, Olivier Faugeras, Renaud Keriven, Théodore  Papadopoulo. Generalized head models for {MEG/EEG}: boundary element method beyond nested volumes. Physics in  Medicine and Biology, 51, pages 1333-1346.
• Emmanuel Prados, Fabio Camilli, Olivier Faugeras. A viscosity solution method for Shape-From-Shading without image boundary data.  Mathematical Modelling and Numerical Analysis (M2AN), 40:2, pages 393-412.
  
• Emmanuel Prados, Fabio Camilli, Olivier Faugeras. A unifying and rigorous Shape From Shading method adapted to realistic data and applications. Journal of Mathematical Imaging and Vision, 25:3, pages 307-328.
  
• Emmanuel Prados, Christophe Lenglet, Jean-Philippe Pons, N. Wotawa, Rachid Deriche, Olivier Faugeras, Stefano Soatto. Control Theory and Fast Marching Methods for Brain Connectivity Mapping. Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, New York, NY, June, 2006.
• Guillaume Charpiat, Olivier Faugeras, Renaud Keriven, Pierre Maurel. Approximations of shape metrics and application to shape warping and empirical shape statistics. In Statistics and Analysis of Shapes. Hamid Krim and Anthony Yezzi Jr. Editors. Chapter 15, pages 363-395.
• François Grimbert, Olivier Faugeras. Bifurcation Analysis of Jansen's Neural Mass Model. Neural Computation, 18, pages 3052-3068.
  
• Christophe Lenglet, Michael Rousson, Rachid Deriche, Olivier Faugeras. Statistics on the Manifold of Multivariate Normal Distributions: Theory and Application to Diffusion Tensor MRI Processing. Journal of Mathematical Imaging and Vision, 25:3, pages 423-444.
• J.-P. Pons, G. Hermosillo, R. Keriven and O. Faugeras. Maintaining the point correspondence in the level set framework. Journal of Computational Physics, 220:1, pages 339-354.
  
• Thomas Deneux, Olivier Faugeras. Using nonlinear models in fMRI data analysis: model selection and activation detection. Neuroimage, 32, pages 1669-1689.
  

•  Guillaume Charpiat, Olivier Faugeras, Renaud Keriven, Approximations of shape metrics and application to shape warping and empirical shape statistics. Journal of Foundations of Computational Mathematics, 5:1, pages 1-58.
• Jan Kybic, Maureen Clerc, Toufic Abboud, Olivier Faugeras, Renaud Keriven, Théo Papadopoulo, Integral Formulations for the EEG Problem. IEEE Transactions on Medical Images, 24:1, pages 12-28.
• Jan Kybic, Maureen Clerc, Olivier Faugeras, Renaud Keriven, Théodore  Papadopoulo. Fast Multipole Acceleration of the {MEG/EEG} Boundary Element Method. Physics in Medicine and Biology, 50, pages 4695-4710.
• Emmanuel Prados, Olivier Faugeras. Shape from Shading. In Mathematical Models in Computer Vision: The Handbook, N. Paragios, Y. Chen, O. Faugeras Editors, Springer.
  
• Emmanuel Prados, Olivier Faugeras. A generic and provably convergent Shape-From-Shading Method for Orthographic and Pinhole Cameras. International Journal of Computer Vision, 65:1/2, pages 97-125.
  

• Olivier Faugeras, Geoffray Adde, Guillaume Charpiat, Christophe Chefd'Hotel, Maureen Clerc,
  Thomas Deneux, Rachid Deriche, Gerardo Hermosillo, Renaud Keriven,
  Pierre Kornprobst, Jan Kybic, Christophe Lenglet,
  Lucero Lopez-Perez, Théo Papadopoulo, Jean-Philippe Pons, Florent Segonne,
  Bertrand Thirion, David Tschumperlé, Thierry Viéville, Nicolas Wotawa, Variational, geometric and statistical  methods for modeling brain anatomy and function. Neuroimage 23S1, pages S46-S55.
• Olivier Faugeras, Gerardo Hermosillo, Well-posedness of two nonrigid multimodal image registration methods.  SIAM Journal on Applied Mathematics,  64: 5, pages 1550-1587.
• Bertrand Thirion and Olivier Faugeras, Feature characterization in fMRI data: The information bottleneck approach. Medical Image Analysis, 8:4, pages 403-419.
  

  2003

•  Jan Kybic, Maureen Clerc, Toufic Abboud, Olivier Faugeras, Renaud Keriven, Théo Papadopoulo, Integral Formulations for the EEG Problem. INRIA Research report 4735, February 2003. Submitted to IEEE  MI.
• Denis Fize, Wim Vanduffel, Koen Nelissen, Katrien Denys, Christophe Chef d'Hotel, Olivier Faugeras and Guy A Orban, Retinotopic mapping in awake monkeys suggests a different functional organization for dorsal and ventral V4. INRIA Research report 4732, February 2003. A slightly different version has appeared in The Journal of Neuroscience Aug. 2003, 23: 7395 - 7406.
• Bertrand Thirion, Olivier Faugeras, Dynamical components Analysis of fMRI data through Kernel PCA. NeuroImage, 20:1, pages 34-49.
• Christophe  Chefd'Hotel, David Tschumperle, Rachid Deriche, Olivier Faugeras, Regularizing flows for constrained matrix-valued images. Journal of Mathematical Imaging and Vision, 20:(1-2),  pages 147-162.
  
• Gilles Aubert, Michel Barlaud, Olivier Faugeras, Stéphanie Jehan-Besson,  Image segmentation using active contours: calculus of variations or shape gradients? SIAM Journal on Applied Mathematics, 63:6, p. 2128-2154.
  
• Olivier Faugeras, Jose Gomes, Renaud Keriven. Computational Stereo: a Variational Approach. In Geometric Level Set Methods, S. Osher, N. Paragios Editors, Springer, pages 343-360.
  

• Gilles Aubert, Michel Barlaud, Olivier Faugeras, Stéphanie Jehan-Besson,  Image segmentation using active contours: calculus of variations or shape gradients?. INRIA Research report 4483, June 2002. To appear in SIAM Applied Mathematics. A shorter version has appeared in the Proceedings of ICCV'03.
• Emmanuel Prados, Olivier Faugeras, Elisabeth Rouy, Shape-from-Shading and Viscosity Solutions. INRIA Research report 4638. A shorter version has appeared in the Proceedings of ECCV'02.

•  Bertrand Thirion, Olivier Faugeras, Activation detection and characterisation in brain fMRI sequences. Application to the study of monkey vision. INRIA Research report 4213, June 2001.
• Olivier Faugeras, Gerardo Hermosillo, Well-posedness of eight problems of multi-modal statistical image-matching. INRIA Research report 4235, August 2001. A shorter version has been submitted in 2003 to SIAM Applied Mathematics.
• Gerardo Hermosillo,Christophe Chefd'Hotel, Olivier Faugeras, A Variational Approach to Multi-Modal Image Matching. INRIA Research report 4117, February 2001. A shorter version has appeared in the International Journal of Computer Vision (IJCV), volume 50, number 3, November 2002, pages  329-343.

  
  

• José Gomes, Olivier Faugeras, Representing and evolving smooth manifolds of arbitrary dimension embedded in embedded in Rⁿ as the intersection of n hypersurfaces: The vector distance functions. INRIA Research report 4012, October 2000. A slightly different version has appeared in the International Journal of Computer Vision (IJCV), volume 52, No 2/3, May/June 2003, pages 161-188.

• O. Faugeras, F. Clément, R. Deriche, R. Keriven, T. Papadopoulo, J. Roberts, T. Viéville, F. Devernay, J. Gomes, G. Hermosillo, P. Kornprobst and D. Lingrand, The inverse EEG and MEG problems: The adjoint state approach I: The continuous case. INRIA Research report 3673, May 1999.

  
  

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