Recent selected Publications
2012
- Jonathan Touboul, Geoffroy
Hermann, Olivier Faugeras, Noise-induced
behaviors
in
neural mean field dynamics, SIAM Journal on Applied
dynamical Systems, 11:1, pp. 49-81.
- Javier Baladron, Diego Fasoli,
Olivier Faugeras, Jonathan Touboul, Mean
Field
description of and propagation of chaos in recurrent
multipopulation networks of Hodgkin-Huxley and Fitzhugh-Nagumo neurons,
Journal
of Mathematical Neuroscience, in Press.
- Mathieu Galtier, Olivier
Faugeras, Paul Bressloff, Hebbian
learning
of recurrent connections: a geometrical perspective,
Neural Computation, in Press.
- Javier Baladron, Diego Fasoli,
Olivier Faugeras,
Three
Applications of GPU Computing in Neuroscience, Computing in Science and
Engineering (CiSE), in Press.
2011
- Pascal Chossat, Grégory
Faye, Olivier Faugeras, Bifurcation
of
Hyperbolic
Planforms, Journal of Nonlinear Science, Online
First, 4 February 2011.
- Thomas Deneux, Olivier
Faugeras, S. Takerkart, Guillaume Masson, and Ivo Vanzetta A
new
variational
method
for erythrocyte velocity estimation in
wide-field imaging in-vivo, IEEE TMI, March 2011.
- Romain Veltz and Olivier
Faugeras, Stability
of
the
stationary
solutions of neural field equations with propagation
delays, The Journal of Mathematical Neuroscience, 1:1, May 2011.
- Jonathan Touboul and Olivier
Faugeras A
Markovian
event-based
framework
for stochastic spiking neural networks,
Journal of Computational Neuroscience, vol. 30, April 2011.
- Jonathan Touboul, Patrick
Chauvel, Fabrice Wendling and Olivier Faugeras, Neural
Mass
Activity, Bifurcations and Epilepsy, Neural Computation, 23:12,
December
2011.
- Grégory Faye, Pascal
Chossat and Olivier Faugeras, Analysis
of a hyperbolic geometric
model for visual texture perception, The Journal of Mathematical
Neuroscience, 1:4, 2011.
2010
2009
- Olivier
Faugeras, Romain Veltz, François Grimbert Persistent neural states: stationary
localized activity patterns in nonlinear continuous n-population,
q-dimensional neural networks
Neural Computation, 21: 1, pp.
147-187 (2009).
- Olivier
Faugeras, Jonathan Touboul, Bruno Cessac, A
constructive
mean-field
analysis
of
multi
population neural networks with random synaptic weights and stochastic
inputs Frontiers in Computational
Neuroscience,
3:1 (2009)
- Pascal Chossat, Olivier Faugeras Hyperbolic
planforms in relation to visual
edges and textures perception PLos Comput Biol, 5, (2009)
2008
- 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.
- Olivier Faugeras,
François Grimbert, Jean-Jacques Slotine. Absolute
Stability
and
Complete
Synchronization
in
Neural Fields. SIAM Journal of
Applied Mathematics, 69:
1, pp. 205-250 (2008).
- 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.
2007
- 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.
2006
- 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.
2005
- 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.
2004
- 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.
2002
2001
- 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.
2000
1999
- 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.