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Publications de Jean-François Aujol
Résultat de la recherche dans la liste des publications :
6 Articles |
1 - Detecting codimension-two objects in an image with Ginzburg-Landau models.
G. Aubert et J.F. Aujol et L. Blanc-Féraud. International Journal of Computer Vision, 65(1-2): pages 29-42, novembre 2005.
Mots-clés : Modele de Ginzburg-Landau, Detection de points, Segmentation, PDE, Images biologiques, Images SAR.
@ARTICLE{laure-ijcv05,
|
| author |
= |
{Aubert, G. and Aujol, J.F. and Blanc-Féraud, L.}, |
| title |
= |
{Detecting codimension-two objects in an image with Ginzburg-Landau models}, |
| year |
= |
{2005}, |
| month |
= |
{novembre}, |
| journal |
= |
{International Journal of Computer Vision}, |
| volume |
= |
{65}, |
| number |
= |
{1-2}, |
| pages |
= |
{29-42}, |
| pdf |
= |
{ftp://ftp-sop.inria.fr/ariana/Articles/GL_IJCV_5.pdf}, |
| keyword |
= |
{Modele de Ginzburg-Landau, Detection de points, Segmentation, PDE, Images biologiques, Images SAR} |
| } |
Abstract :
In this paper, we propose a new mathematical model for detecting in an image singularities of codimension greater than or equal to two. This means we want to detect points in a 2-D image or points and curves in a 3-D image. We drew one's inspiration from
Ginzburg-Landau (G-L) models which have proved their efficiency for modeling many phenomena in physics. We introduce the model, state its
mathematical properties and give some experimental results demonstrating its capability in image processing. |
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2 - Dual Norms and Image Decomposition Models.
J.F. Aujol et A. Chambolle. International Journal of Computer Vision, 63(1): pages 85-104, juin 2005.
Mots-clés : Decomposition d'images.
@ARTICLE{AujolChambolle,
|
| author |
= |
{Aujol, J.F. and Chambolle, A.}, |
| title |
= |
{Dual Norms and Image Decomposition Models}, |
| year |
= |
{2005}, |
| month |
= |
{juin}, |
| journal |
= |
{International Journal of Computer Vision}, |
| volume |
= |
{63}, |
| number |
= |
{1}, |
| pages |
= |
{85-104}, |
| pdf |
= |
{http://link.springer.com/article/10.1007/s11263-005-4948-3}, |
| keyword |
= |
{Decomposition d'images} |
| } |
|
3 - Modeling very Oscillating Signals. Application to Image Processing.
G. Aubert et J.F. Aujol. Applied Mathematics and Optimization, 51(2): pages 163--182, mars 2005.
@ARTICLE{AujolAubert,
|
| author |
= |
{Aubert, G. and Aujol, J.F.}, |
| title |
= |
{Modeling very Oscillating Signals. Application to Image Processing}, |
| year |
= |
{2005}, |
| month |
= |
{mars}, |
| journal |
= |
{Applied Mathematics and Optimization}, |
| volume |
= |
{51}, |
| number |
= |
{2}, |
| pages |
= |
{163--182}, |
| pdf |
= |
{http://link.springer.com/article/10.1007/s00245-004-0812-z}, |
| keyword |
= |
{} |
| } |
|
4 - Optimal Partitions, Regularized Solutions, and Application to Image Classification.
G. Aubert et J.F. Aujol. Applicable Analysis, 84(1): pages 15--35, janvier 2005.
@ARTICLE{AujolAubertclassif,
|
| author |
= |
{Aubert, G. and Aujol, J.F.}, |
| title |
= |
{Optimal Partitions, Regularized Solutions, and Application to Image Classification}, |
| year |
= |
{2005}, |
| month |
= |
{janvier}, |
| journal |
= |
{Applicable Analysis}, |
| volume |
= |
{84}, |
| number |
= |
{1}, |
| pages |
= |
{15--35}, |
| pdf |
= |
{http://www.math.u-bordeaux1.fr/~jaujol/HDR/A2.pdf}, |
| keyword |
= |
{} |
| } |
|
5 - Image Decomposition into a Bounded Variation Component and an Oscillating Component.
J.F. Aujol et G. Aubert et L. Blanc-Féraud et A. Chambolle. Journal of Mathematical Imaging and Vision, 22(1): pages 71--88, janvier 2005.
@ARTICLE{BLA05,
|
| author |
= |
{Aujol, J.F. and Aubert, G. and Blanc-Féraud, L. and Chambolle, A.}, |
| title |
= |
{Image Decomposition into a Bounded Variation Component and an Oscillating Component}, |
| year |
= |
{2005}, |
| month |
= |
{janvier}, |
| journal |
= |
{Journal of Mathematical Imaging and Vision}, |
| volume |
= |
{22}, |
| number |
= |
{1}, |
| pages |
= |
{71--88}, |
| pdf |
= |
{http://link.springer.com/article/10.1007/s10851-005-4783-8}, |
| keyword |
= |
{} |
| } |
|
6 - Wavelet-based Level Set Evolution for Classification of Textured Images.
J.F. Aujol et G. Aubert et L. Blanc-Féraud. IEEE Trans. Image Processing, 12(12), 2003.
@ARTICLE{aujolGL,
|
| author |
= |
{Aujol, J.F. and Aubert, G. and Blanc-Féraud, L.}, |
| title |
= |
{Wavelet-based Level Set Evolution for Classification of Textured Images}, |
| year |
= |
{2003}, |
| journal |
= |
{IEEE Trans. Image Processing}, |
| volume |
= |
{12}, |
| number |
= |
{12}, |
| pdf |
= |
{http://ieeexplore.ieee.org/iel5/83/28122/01257399.pdf?tp=&arnumber=1257399&isnumber=28122}, |
| keyword |
= |
{} |
| } |
|
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Thèse de Doctorat et Habilitation |
1 - Contribution à l'Analyse de Textures en Traitement d'Images par Méthodes Variationnelles et Equations aux Dérivées Partielles.
J.F. Aujol. Thèse de Doctorat, Universite de Nice Sophia Antipolis, juin 2004.
Mots-clés : Decomposition d'images, Classification, Restauration, Analyse fonctionnelle, Espace Variations Bornees, Espaces de Sobolev.
@PHDTHESIS{JFAujol,
|
| author |
= |
{Aujol, J.F.}, |
| title |
= |
{Contribution à l'Analyse de Textures en Traitement d'Images par Méthodes Variationnelles et Equations aux Dérivées Partielles}, |
| year |
= |
{2004}, |
| month |
= |
{juin}, |
| school |
= |
{Universite de Nice Sophia Antipolis}, |
| url |
= |
{https://hal.inria.fr/tel-00006303}, |
| pdf |
= |
{http://hal.inria.fr/docs/00/04/68/89/PDF/tel-00006303.pdf}, |
| keyword |
= |
{Decomposition d'images, Classification, Restauration, Analyse fonctionnelle, Espace Variations Bornees, Espaces de Sobolev} |
| } |
Résumé :
Cette thèse est un travail en mathématiques appliquées. Elle aborde quelques problèmes en analyse d'images et utilise des outils mathématiques spécifiques.
L'objectif des deux premières parties de cette thèse est de proposer un modèle pour décomposer une image f'en trois composantes : f=u+v+w. Notre approche repose sur l'utilisation d'espaces mathématiques adaptés à chaque composante: l'espace BV des fonctions à variations bornées pour u, un espace G'proche du dual de BV pour les textures, et un espace de Besov d'exposant négatif E'pour le bruit. Nous effectuons l'étude mathématique complète des différents modèles que nous proposons. Nous illustrons notre approche par de nombreux exemples.Dans la troisième et dernière partie de cette thèse, nous nous intéressons spécifiquement à la composante texturée. Nous proposons un algorithme de classification supervisée pour les images texturées. |
Abstract :
This Ph.D. thesis is a work in applied mathematics. It deals with image processing problems, and uses specific mathematical tools.
The aim of the two first parts is to propose a model for decomposing an image f'into three components : f=u+v+w. Our approach relies on the use of mathematical spaces adapted to each component : the space BV of functions with bounded variations for u, a space G'close to the dual space of BV for v, and a negative Besov space E'for w. We carry out the complete mathematical analysis of the different models we propose. We illustrate our approach with many numerical examples. In the third and last part, we only deal with the texture component of an image. We propose a supervised classification algorithm for textured images. |
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4 Articles de conférence |
1 - Simultaneous structure and texture compact representation.
J.F. Aujol et B. Matei. Dans Proc. Advanced Concepts for Intelligent Vision Systems, Brussels, Belgium, septembre 2004.
@INPROCEEDINGS{jf_acivs,
|
| author |
= |
{Aujol, J.F. and Matei, B.}, |
| title |
= |
{Simultaneous structure and texture compact representation}, |
| year |
= |
{2004}, |
| month |
= |
{septembre}, |
| booktitle |
= |
{Proc. Advanced Concepts for Intelligent Vision Systems}, |
| address |
= |
{Brussels, Belgium}, |
| pdf |
= |
{http://www.math.u-bordeaux1.fr/~jaujol/PAPERS/acivscompression.pdf}, |
| keyword |
= |
{} |
| } |
|
2 - Décomposition D'images: Application Aux Images RSO.
J.F. Aujol et G. Aubert et L. Blanc-Féraud et A. Chambolle. Dans Proc. GRETSI Symposium on Signal and Image Processing, Paris, France, septembre 2003.
@INPROCEEDINGS{jf_gretsi,
|
| author |
= |
{Aujol, J.F. and Aubert, G. and Blanc-Féraud, L. and Chambolle, A.}, |
| title |
= |
{Décomposition D'images: Application Aux Images RSO}, |
| year |
= |
{2003}, |
| month |
= |
{septembre}, |
| booktitle |
= |
{Proc. GRETSI Symposium on Signal and Image Processing}, |
| address |
= |
{Paris, France}, |
| url |
= |
{http://documents.irevues.inist.fr/handle/2042/13577}, |
| keyword |
= |
{} |
| } |
|
3 - Wavelet-Based Level Set Evolution for Classification of Textured Images.
J.F. Aujol et G. Aubert et L. Blanc-Féraud. Dans Proc. IEEE International Conference on Image Processing (ICIP), Barcelona, Spain, septembre 2003.
@INPROCEEDINGS{jf_icip,
|
| author |
= |
{Aujol, J.F. and Aubert, G. and Blanc-Féraud, L.}, |
| title |
= |
{Wavelet-Based Level Set Evolution for Classification of Textured Images}, |
| year |
= |
{2003}, |
| month |
= |
{septembre}, |
| booktitle |
= |
{Proc. IEEE International Conference on Image Processing (ICIP)}, |
| address |
= |
{Barcelona, Spain}, |
| url |
= |
{http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1246863}, |
| keyword |
= |
{} |
| } |
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