Jean-François Aujol's Publications

Refereed Journal Publications

Poisson Skeleton Revisited: A New Mathematical Perspective
G. Aubert and J-F. Aujol, Journal of Mathematical Imaging and Vision, to appear
Some proximal methods for Poisson intensity CBCT and PET
S. Antoine, J-F. Aujol, Y. Boursier and C. Mélot, Inverse Problems and Imaging, volume 6, number 4, 2012.
A bias-variance approach for the Non-Local Means
Vincent Duval, Jean-François Aujol and Yann Gousseau, SIAM Journal on Imaging Sciences, volume 4, number 2, pages 760-788, 2011.
Locally parallel texture modeling
Pierre Maurel, Jean-François Aujol and Gabriel Peyré, SIAM Journal on Imaging Sciences, volume 4, number 1, pages 413-447, 2011.
Exemplar-based inpainting from a variational point of view
Jean-François Aujol , Saïd Ladjal, and Simon Masnou, SIAM Journal on Mathematical Analysis, volume 42, issue 3, pages 1246-1285, 2010.
Mathematical modeling of textures : application to color image decomposition with a projected gradient algorithm
Vincent Duval, Jean-François Aujol and Luminita Vese, Journal of Mathematical Imaging and Vision, volume 37, issue 3, pages 232-248, 2010.
The TVL1 model: a geometric point of view
Vincent Duval, Jean-François Aujol and Yann Gousseau, SIAM Journal on Multiscale Modeling and Simulation, volume 8, number 1, pages 154-189, November 2009.
Local scale measure from the topographic map and application to remote sensing images
Bin Luo, Jean-François Aujol and Yann Gousseau, SIAM Journal on Multiscale Modeling and Simulation, volume 8, number 1, pages 1-29, September 2009.
Some first-order algorithms for total variation based image restoration
Jean-François Aujol, Journal of Mathematical Imaging and Vision, volume 34, number 3, pages 307-327, July 2009.
Irregular to regular sampling, denoising and deconvolution
Gabriele Facciolo, Andrès Almansa, Jean-François Aujol and Vicent Caselles, SIAM Journal on Multiscale Modeling and Simulation, volume 7, number 4, pages 1574-1608, April 2009.
Indexing of satellite images with different resolutions by wavelet features
Bin Luo, Jean-François Aujol, Yann Gousseau and Saïd Ladjal, IEEE Transactions on Image Processing, volume 17, number 8, pages 1465-1472, August 2008.
A Variational Approach to remove Multiplicative Noise
Gilles Aubert and Jean-François Aujol, SIAM Journal on Applied Mathematics, volume 68, number 4, pages 925-946, January 2008.
Resolution independant characteristic scale dedicated to satellite images
Bin Luo, Jean-François Aujol, Yann Gousseau, Saïd Ladjal and Henri Maître, IEEE Transactions on Image Processing, volume 16, number 10, pages 2503-2514, October 2007.
Constrained and SNR-based Solutions for TV-Hilbert Space Image Denoising
Jean-François Aujol and Guy Gilboa, Journal of Mathematical Imaging and Vision, volume 26, numbers 1-2, pages 217-237, November 2006.
Scale recognition, regularization parameter selection, and Meyer's G norm in total variation regularization
David Strong, Jean-François Aujol and Tony Chan, SIAM Journal on Multiscale Modeling and Simulation, volume 5, number 1, pages 273-303, 2006.
Combining geometrical and textured information to perform image classification
Jean-François Aujol and Tony Chan, Journal of Visual Communication and Image Representation, volume 17, number 5, pages 1004-1023, October 2006.
Color image decomposition and restoration
Jean-François Aujol and Sung H. Kang, Journal of Visual Communication and Image Representation, volume 17, number 4, pages 916-928, August 2006.
Structure-Texture Image Decomposition - Modeling, Algorithms, and Parameter Selection
Jean-François Aujol, Guy Gilboa, Tony Chan, and Stanley Osher, International Journal of Computer Vision, volume 67, number 1, pages 111-136, April 2006.
Detecting codimension-two objects in an image with Ginzburg-Landau models
Gilles Aubert, Jean-François Aujol and Laure Blanc-Féraud, International Journal of Computer Vision, volume 65, numbers 1-2, pages 29-42, November 2005.
Dual norms and image decomposition models
Jean-François Aujol and Antonin Chambolle, International Journal of Computer Vision, volume 63, number 1, pages 85-104, June 2005.
Modeling very oscillating signals. Application to image processing
Gilles Aubert and Jean-François Aujol, Applied Mathematics and Optimization, volume 51, number 2, pages 163-182, March/April 2005.
Image decomposition into a bounded variation component and an oscillating component
Jean-François Aujol, Gilles Aubert, Laure Blanc-Féraud and Antonin Chambolle, Journal of Mathematical Imaging and Vision, volume 22, number 1, pages 71-88, January 2005.
Optimal partitions, regularized solutions, and application to image classification
Gilles Aubert and Jean-François Aujol, Applicable Analysis, volume 84, number 1, pages 15-35, January 2005.
Wavelet-based level set evolution for classification of textured images
Jean-François Aujol, Gilles Aubert and Laure Blanc-Féraud, IEEE Transactions on Image Processing, volume 12, number 12, pages 1634-1641, December 2003.

Recent Research Reports

Convexification of high-dimension multi-label problems, HAL Preprint 00757084
Nicolas Papadakis, Jean-François Aujol, Vicent Caselles, and Romain Yildizoglu, November 2012
Poisson skeleton, HAL Preprint 00714250
Gilles Aubert and Jean-François Aujol, July 2012
Active contours without level sets, HAL Preprint 00696065
Romain Yildizoglu, Jean-François Aujol, and Nicolas Papadakis, May 2012
Optimal Transport Mixing of Gaussian Texture Models, HAL Preprint 00662720
Sira Ferradans, Gui-Song Xia, Sira Ferradans, Gabriel Peyré, and Jean-François Aujol, January 2012
Compact Representations of Stationary Dynamic Textures, HAL Preprint 00662719
Gui-Song Xia, Sira Ferradans Gabriel Peyré, and Jean-François Aujol, January 2012
Some proximal methods for CBCT and PET tomography, HAL Preprint 00640215
Sandrine Anthoine, Jean-Francois Aujol, Yannick Boursier, and Clothilde Mélot, November 2011

Refereed Conference Publications

Regularized Discrete Optimal Transport ,
S. Ferradan, N. Papadakis, G. Peyré, and J-F. Aujol, SSVM 2013, Orlando.
Optimal Transport Mixing of Gaussian Texture Models ,
S. Ferradan, G-S. Xia, G. Peyré, and J-F. Aujol, SSVM 2013, Orlando.
Active contours without level sets,
Romain Yildizoglu, Jean-Francois Aujol, and Nicolas papadakis, ICIP 2012, Orlando.
Compact representations of stationary dynamic textures,
Gui-Song Xia, , Sira Ferradans, Gabriel Peyré and Jean-Francois Aujol, ICIP 2012, Orlando.
Proximal Algorithms and CT: New Results on 3D Real Datas and Color CT ,
Y Boursier, M Dupont, S Anthoine, J-F Aujol, C Melot, SIAM Conference on Imaging Science 2012, Philadelphia.
On the efficiency of proximal methods in CBCT and PET,
Sandrine Anthoine, Jean-Francois Aujol, Yannick Boursier, and Clothilde Mélot, ICIP 2011, Brussels.
Méthodes proximales en tomographie CBCT et TEP,
Sandrine Anthoine, Jean-Francois Aujol, Yannick Boursier, and Clothilde Mélot, GRETSI 2011, Bordeaux.
Some proximal methods for CBCT and PET tomography,
Sandrine Anthoine, Jean-Francois Aujol, Yannick Boursier, and Clothilde Mélot, SPIE 2011, San Diego.
On the efficiency of proximal methods for CBCT and PET reconstruction with sparsity constraint,
Sandrine Anthoine, Jean-Francois Aujol, Yannick Boursier, and Clothilde Mélot, SPARSS 2011, Edinburgh.
Exemplar-based inpainting from a variational point of view,
Jean-Francois Aujol, Saïd Ladjal, and Simon Masnou, SIAM Conference on Imaging Science 2010, Chicago.
Calibrable sets and scales for TV-L2 and TV-L1 models,
Jean-Francois Aujol, Vincent Duval, and Yann Gousseau, SIAM Conference on Imaging Science 2010, Chicago.
Modeling locally parallel oscillating patterns,
Jean-Francois Aujol, Pierre Maurel, and Gabriel Peyré, SIAM Conference on Imaging Science 2010, Chicago.
Intégration d'un champs de normal en présence de discontinuités
Jean-Denis Durou and Jean-François Aujol, RFIA 2010.
Locally Parallel Textures Modeling with Adapted Hilbert Spaces
Pierre Maurel, Jean-François Aujol and Gabriel Peyré, EMMCVPR 2009, LNCS 5681, pages 429-442.
Integrating the Normal Field of a Surface in the Presence of Discontinuities
Jean-Denis Durou, Jean-François Aujol and Frédéric Courteille, EMMCVPR 2009, LNCS 5681, pages 261-273.
Projected gradient based Color Image Decomposition
Vincent Duval, Jean-François Aujol and Luminita Vese, SSVM 2009 , LNCS 5567, pages 295-306.
Accurate Local Scale Measure for Remote Sensing Images
Bin Luo, Jean-François Aujol and Yann Gousseau, SSVM 2009 , LNCS 5567, pages 856-867.
Extraction de textures localement parallèles par un espace de Hilbert adapté
Pierre Maurel, Jean-François Aujol and Gabriel Peyré, GRETSI 2009
Morphological Segmentation of Remote Sensing Images Based on Scale
Bin Luo, Jean-François Aujol and Yann Gousseau, SIAM Annual Meeting 2008, San Diego.
A Nonconvex Model for Speckle Noise Removal
Jean-François Aujol and Gilles Aubert, SIAM Conference on Imaging Science 2008, San Diego.
A nonconvex model to remove multiplicative noise
Gilles Aubert and Jean-François Aujol, SSVM 2007 , LNCS 4485, pages 68-79.
Cartographie des échelles d'une image à partir de la carte topographique. Applications aux images satellitaires
Bin Luo, Jean-François Aujol, Yann Gousseau and Henri Maître, GRETSI 2007
Extrapolation d'attibuts ondelettes pour l'indexation de bases d'images satellitaires à différentes résolutions
Bin Luo, Jean-François Aujol, Yann Gousseau and Saïd Ladjal, GRETSI 2007
Interpolation of wavelet features for satellite images with different resolutions
Bin Luo, Jean-François Aujol, Yann Gousseau and Saïd Ladjal, IGARSS 2006 , volume 1, pages 176 - 179.
Scale Characterization for Satellite Images
Bin Luo, Jean-François Aujol, Yann Gousseau, Saïd Ladjal and Henri Maître, ICASSP 2006 , volume 2, pages 809- 812.
Adaptive Structure-Texture Image Decomposition
Jean-François Aujol, Guy Gilboa, Tony Chan, and Stanley Osher, SIAM Conference on Imaging Science 2006 , Minneapolis.
Structure-Texture Decomposition by a TV-Gabor model
Jean-François Aujol, Guy Gilboa, Tony Chan and Stanley Osher, VLSM 2005, LNCS 3752, pages 85-96.
Combined geometric-texture image classification
Jean-François Aujol and Tony Chan, VLSM 2005, LNCS 3752, pages 161-172.
Simultaneous structure and texture compact representation
Jean-François Aujol and Basarab Matei, ACIVS 2004.
Décomposition d'images. Application aux images RSO.
Jean-François Aujol, Gilles Aubert, Laure Blanc-Féraud and Antonin Chambolle, GRETSI 2003 .
Wavelet-based level set evolution for classification of textured images
Jean-François Aujol, Gilles Aubert and Laure Blanc-Féraud, ICIP 2003, volume 2, pages 1041-1044.
Image decomposition. Application to SAR images.
Jean-François Aujol, Gilles Aubert, Laure Blanc-Féraud and Antonin Chambolle, Scale-Space 2003, LNCS 2695, pages 297-312.

Other conferences and workshops

Proximal methods in tomography CBCT and PET ,
Sandrine Anthoine, Jean-Francois Aujol, Yannick Boursier, and Clothilde Mélot, Journées Traitement de l'image, Marseille, November 2011.
Some proximal methods in tomography CBCT and PET,
Sandrine Anthoine, Jean-Francois Aujol, Yannick Boursier, and Clothilde Mélot, Mathematical imaging in interaction with biomedicine, Edinburgh, September 2011.
On the Efficiency of Some Proximal Algorithms in Tomography,
Sandrine Anthoine, Jean-Francois Aujol, Yannick Boursier, and Clothilde Mélot, Variational Image Analysis : challenges and perspetives, Heidelberg, July 2011.
A comparative review of SAR images speckle denoising methods based on functional minimization,
Jean-Francois Aujol, Emmanuel Bratsolis, Jérome Darbon, Loic Denis, Jean-Marie Nicolas, Xavier Rondeau, Marc Sigelle, and Florence Tupin,
SIAM Conference on Imaging Science 2010, Chicago.
Textures : oscillations ou textons ?,
Jean-François Aujol, Journée modélisation géométrique et traitement d'images, Grenoble, 17 Décembre, 2009.
Image decomposition by variational methods,
Jean-François Aujol, Workshop on Models and Images for Porous Media,
Paris, January 12-16, 2009.
Echelle et résolution en imagerie de télédetection,
Jean-François Aujol, Colloque "Mathématiques pour l'image", Orléans, 1-3 Avril 2008.
Modélisation des images,
Jérome Gilles et Jean-François Aujol, Ecole Analyse Multirésolution pour l'Image, Poitiers, 17-19 Mars 2008.
Variational methods in image processing,
Jean-François Aujol, Inverse Problems in Medical Imaging, Obergurgl, January 22-27, 2008.
A nonconvex model for multiplicative noise removal
Jean-François Aujol, Mathematical image processing meeting, CIRM, September 3-7, 2007.
Restauration d'images et bruit multiplicatif
Jean-François Aujol, SMAI 2007 , Praz sur Arly, Juin 2007.
A variational approach for multiplicative noise removal
Jean-François Aujol, Colloque sur le thème "Mathématiques et Image" , La Rochelle, Mai 2007.
Removing multiplicative noise by a variational approach
Jean-François Aujol, Journées de Metz 2007: PDE and variational methods in image analysis , Metz, Mai 2007.
TV-Hilbert model for image denoising and decomposition
Jean-François Aujol, Workshop "An interdisciplinary approach to Textures and Natural Images Processing", 2007 , Paris .
Recent advances in scale recognition and its application in total variation regularization
David Strong, Jean-François Aujol, and Tony Chan, SIAM Conference on Imaging Science 2006 , Minneapolis .
Color decomposition
Sung Ha Kang and Jean-François Aujol, SIAM Conference on Imaging Science 2006 , Minneapolis .
"Variational methods (I): Image restoration", "Variational methods (II): Image decomposition"
Jean-François Aujol, Optimization Methods in Computer Vision , invited talks, 13-17 March 2006, Les Houches, France .
Filtres de Gabor et décomposition d'images.
Jean-François Aujol, Journées Mathématiques de l'Image , 12-13 January 2006, Nice, France .
Scale Characterization for Remote Sensing Images
Jean-François Aujol, Bin Luo, Yann Gousseau and Henri Maître, ESA-EUSC 2005: Image Information Mining - Theory and Application to Earth Observation .
Contribution à l'analyse de textures en traitement d'images par méthodes variationnelles et équations aux dérivées partielles
Jean-François Aujol, GRETSI 2005 (invited talk) .
Décomposition u+v+w
Jean-François Aujol, Workshop "Contenu informatif des images numériques" (ENS Cachan, France) 25-26 November 2004 .
Classification d'images par contours actifs et ondelettes
Jean-François Aujol, CANUM 2004 .
Modélisation de signaux oscillants en imagerie numérique
Jean-François Aujol, CANUM 2003 .
Signed distance functions and discontinuous Hamilton-Jacobi Equations
Jean-François Aujol and Gilles Aubert, Workshop on Hamilton-Jacobi Equations Cortona 2002.
Distances signées et solutions de viscosité pour une classe d'équations de Hamilton-Jacobi discontinues
Jean-François Aujol and Gilles Aubert, CANUM 2002 .

Habilitation à Diriger des Recherches (in French)

Utilisation de méthodes variationnelles en traitement d'image

PhD Thesis (in French)

Contribution to texture analysis in image processing by variational methods and partial differential equations (13.9 M) ( 3.5 M ). More information about my PhD Thesis can be found there .
Award: best PhD Thesis in signal and image processing (EEA club award)

Talks

Click here to see my recent talks.

Reviewing activity

Reviewer for: SIAM Journal on Multiscale Modeling and Simulation, SIAM Journal on Applied Mathematics, SIAM Journal on Imaging Sciences, Journal of Mathematical Imaging and Vision, International Journal on Computer Vision, Journal of Visual Communication and Image Representation, Machine Vision and Application Journal, Contemporary Mathematics, IEEE Transactions on Image Processing, IEEE Transactions on Pattern Analysis and Machine Intelligence, IEEE Signal Processing Letters, IEEE Transactions on Signal Processing, Computer Vision and Image Understanding Registration, EURASIP Journal on Advances in Signal Processing, Journal of Electronic Imaging, International Journal of Pattern Recognition and Artificial Intelligence, ACIVS, ISSPA, CMA.

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