Here you will find :
- My fields of interest
- Some results and demonstrations
from my PhD thesis
- My PhD Thesis (ps.gz, PDF)
- Some usefull publications
available on the web
- Other personal links to computer
vision web pages
Back to CEREMADE front page
My advisor Laurent D. COHEN's home page
- Multiscale methods
- Signal and image matching
- Stereovision
- Image registration
- Motion estimation
- Shape deformation
- Non linear inverse problems, non linear regression
The purpose of my PhD dissertation
It is to clarify
the contribution of multiscale methods in motion estimation
and registration algorithms and to improve them.
My work might also help dealing
with more general problems like non linear inverse
problems and non linear regression.
Abstract en Francais :
Dans ce travail nous abordons les problemes de l'estimation du mouvement
apparent et du recalage de signaux et d'images sous hypothese de
conservation des niveaux d'intensite. Dans une premiere partie nous
introduisons une nouvelle hypothese de rigidite du mouvement et
une pyramide multiechelle adaptee permettant d'ecrire une nouvelle
equation de contrainte du mouvement valide aux echelles grossieres
pour des mouvements d'amplitude importante.
Nous en deduisons des conditions suffisantes de convergence d'un
algorithme iteratif d'estimation/recalage au sens de la disparition
du flot optique residuel et du recalage de l'image d'etude vers
l'image cible, en dimension quelconque. Dans une seconde partie nous
discutons la mise en oeuvre de l'algorithme et tentons l'approche
par ensembles de niveaux en dimension 1 et 2. Ensuite nous obtenons
des resultats satisfaisants en utilisant l'algorithme du gradient
conjugue. Nous illustrons l'approche a l'aide de nombreux exemples
synthetiques ou reels en dimension 1 (y compris sur paire stereo) et
2.
Postscript version : these.ps.gz
PDF version : these1.pdf
(1st part) and these2.pdf
(2nd part)
Presented in 1997 :
- ICIP'97
(Eng., ps.gz) : A Multiresolution Algorithm for Signal and Image Registration
- Gretsi'97
(Fr., ps.gz) : Un Algorithme Multiresolution de Recalage de Signaux et
d'Images
- ORASIS'97
(Fr., html) : Un Algorithme Multirésolution de Recalage de Signaux
et d'Images
Searching for a "no a priori motion" model
My subsequent work aimed at extending and generalizing these results without
any motion model. I have then developped a multiscale
eulerian motion estimation technique, based on a
generalization of my first work. The mathematical
study yielded a new non local motion estimator, and I
give a proof of convergence of the method towards
the real motion if it satisfies some rigidity hypothesis,
together with the registrated image.
As a first attempt to get rid of any a priori motion model, some numerical
results using 1D level set boundaries are shown.
For grey levels are not stable in most of the real
examples, I then reconsidered the same motion model
as an implicit one, which I successfully
experimented on a wide variety of signals and images.
Although it is fully non local, the result should
be compared to those obtained with the fluid registration
process of Miller and Christensen, or
Bro-Nielsen, or with Thirion's demons method, or
with Trouvé's gradient algorithm.
Matching the same level sets : some demonstrations on boundary motion estimation in 1D
- 1D
signals
- Grey
level registration between two stereo images
Matching signals and images using an implicit motion model
- 1D
signals
- Disparity
estimation with stereoscopic Images
- Images
English :
- A. Trouvé : "An
Approach of Pattern Recognition through Infinite Dimensional Group".
A unified
mathematical framework for
many pattern recognition tasks with algorithms whose convergence are proved.
- J-M Odobez, P. Bouthemy : "Robust
multiresolution estimation of parametric motion of models
applied
to complex scenes". Many technical reports available at the IRISA
Documentation Center
- Gary Christensen, RD Rabbitt, MI Miller : "3D
brain mapping using a deformable neuroanatomy".
- M. Irani and S. Peleg : "Motion
Analysis for Image Enhancement: Resolution, Occlusion, and Transparency".
- Theodore
Papadopoulo : a PhD thesis on "Motion analysis of 3D rigid curves from
monocular
image sequences".
- Joao Costeira and Takeo
Kanade : "Multi-body Factorization Method for Motion Analysis".
Introduction of a new tool.
- M.
Bro-Nielsen : PhD thesis "Medical image registration and surgery simulation".
On
dynamical estimation-registration.
- E.Mémin,
P.Pérez, D.Machecourt : "Dense estimation and object-oriented
segmentation
of the optical flow with
robust techniques".
- N. Paragios and G.
Tziritas : "Adaptive detection and localization of moving objects
in image", among other numerous
publications.
- Z.Zhang, J.Feldmar, N.Ayache...: many technical
reports on matching or registration at INRIA
- C. Dimou and I. Pitas : "Parameter
Estimation of Non-Translational Motion Fields".
- Fadil Santosa : "A
level-set approach for inverse problems involving obstacles". Self-speaking.
- D. Bresch & J. Simon : "On
the normal variations of a domain".
- M. Covell : "Autocorrespondence
: Feature-based Match Estimation and Image Metamorphosis" : motion
and
morphing.
French :
- Zhang, Zhengyou : a state-of-the-art report on general matching techniques, among other publications.
A moving group (in France)
- GDR-PRC ISIS (Research Group for Information, Signal, Images and ViSion)
Some links to general information on computer vision applications:
- Machine
vision
- Fewer
Factory Inspectors, More Electronic Eyes
- Computer
Vision in Postal Automation
- Finding
Images/Video in Large Archives
- StereoVision
: a tutorial