G. Aubert

发表

Modeling Very Oscillating Signals. Application to Image Processing

G. Aubert, J. Aujol, Jean-François Aujol, 2005 .

L. Vese, G. Aubert, 1997 .

Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations (Applied Mathematical Sciences)

G. Aubert, P. Kornprobst, Pierre Kornprobst, 2006 .

Deterministic edge-preserving regularization in computed imaging

Michel Barlaud, Gilles Aubert, Pierre Charbonnier, 1997, IEEE Trans. Image Process..

Image decomposition: application to textured images and SAR images

G. Aubert, J. Aujol, A. Chambolle, 2003 .

A deterministic algorithm for edge-preserving computed imaging using Legendre transform

Michel Barlaud, Gilles Aubert, Pierre Charbonnier, 1994, Proceedings of the 12th IAPR International Conference on Pattern Recognition, Vol. 2 - Conference B: Computer Vision & Image Processing. (Cat. No.94CH3440-5).

Region-based active contours for video object segmentation with camera compensation

Michel Barlaud, Gilles Aubert, Stéphanie Jehan-Besson, 2001, Proceedings 2001 International Conference on Image Processing (Cat. No.01CH37205).

Video object segmentation using Eulerian region-based active contours

G. Aubert, M. Barlaud, S. Jehan-Besson, 2001, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001.

A l1-Unified Variational Framework for Image Restoration

Antonin Chambolle, Gilles Aubert, Julien Bect, 2004, ECCV.

Shape gradients for histogram segmentation using active contours

Olivier D. Faugeras, Michel Barlaud, Gilles Aubert, 2003, Proceedings Ninth IEEE International Conference on Computer Vision.

Tracking video objects using active contours

G. Aubert, M. Barlaud, M. Castaud, 2002, Workshop on Motion and Video Computing, 2002. Proceedings..

Optical-Flow Estimation while Preserving Its Discontinuities: A Variational Approach

Rachid Deriche, Pierre Kornprobst, Gilles Aubert, 1995, ACCV.

A VARIATIONAL APPROACH TO REMOVE MULTIPLICATIVE NOISE

G. Aubert, J. Aujol, Jean-François Aujol, 2006 .

Image Decomposition into a Bounded Variation Component and an Oscillating Component

Antonin Chambolle, Gilles Aubert, Jean-François Aujol, 2005, Journal of Mathematical Imaging and Vision.

Mathematical problems in image processing - partial differential equations and the calculus of variations

Pierre Kornprobst, Gilles Aubert, G. Aubert, 2010, Applied mathematical sciences.

Detection and tracking of moving objects using a new level set based method

G. Aubert, M. Barlaud, S. Jehan-Besson, 2000, Proceedings 15th International Conference on Pattern Recognition. ICPR-2000.

Image Processing: Mathematics

G. Aubert, 2006 .

Inward and outward curve evolution using level set method

Michel Barlaud, Gilles Aubert, Eric Debreuve, 1999, Proceedings 1999 International Conference on Image Processing (Cat. 99CH36348).

A mathematical study of the relaxed optical flow problem in the space BV (&Ω)

G. Aubert, P. Kornprobst, G. Aubert, 1999 .

CEL0: a continuous alternative to l0 penalty

G. Aubert, L. Blanc-Féraud, Emmanuel Soubies, 2015 .

Image disocclusion using a probabilistic gradient orientation

G. Aubert, L. Blanc-Féraud, E. Villager, 2004, ICPR 2004.

VARIATIONAL APPROXIMATION FOR DETECTING POINT-LIKE TARGET PROBLEMS ∗

G. Aubert, Daniele Graziani, 2011 .

An approximation of the Mumford–Shah energy by a family of discrete edge-preserving functionals

G. Aubert, L. Blanc-Féraud, R. March, 2006 .

Two deterministic half-quadratic regularization algorithms for computed imaging

Michel Barlaud, Gilles Aubert, Pierre Charbonnier, 1994, Proceedings of 1st International Conference on Image Processing.

Topological gradient for a fourth order operator used in image analysis

G. Aubert, A. Drogoul, 2015 .

Non-parametric and non-rigid registration method applied to myocardial gated SPECT

G. Aubert, M. Barlaud, E. Debreuve, 2000 .

Shape Gradient for Image and Video Segmentation

Michel Barlaud, Gilles Aubert, Stéphanie Jehan-Besson, 2006, Handbook of Mathematical Models in Computer Vision.

Analysis of a New Variational Model to Restore Point-Like and Curve-Like Singularities in Imaging

G. Aubert, L. Blanc-Féraud, Daniele Graziani, 2013 .

New algorithm for solving variational problems in $W^{1,p}\SO$ and $BV\SO$: Application to image restoration

G. Aubert, P. Kornprobst, Pierre Kornprobst, 2007 .

New Insights on the Optimality Conditions of the ℓ2-ℓ0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ell _2-\ell _0$

G. Aubert, L. Blanc-Féraud, Emmanuel Soubies, 2019, Journal of Mathematical Imaging and Vision.

DREAM2S: Deformable Regions Driven by an Eulerian Accurate Minimization Method for Image and Video Segmentation

G. Aubert, M. Barlaud, S. Jehan-Besson, 2002, ECCV.

Medical image segmentation and tracking through the maximisation or the minimisation of divergence between PDFs

G. Aubert, J. Fadili, S. Jehan-Besson, 2010 .

Necessary and sufficient conditions for isotropic rank-one convex functions in dimension 2

Gilles Aubert, G. Aubert, 1995 .

Wavelet-based level set evolution for classification of textured images

Gilles Aubert, Jean-François Aujol, Laure Blanc-Féraud, 2003, Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429).

Décomposition d'images : Application aux images RSO

G. Aubert, J. Aujol, A. Chambolle, 2003 .

A new nonconvex variational approach for sensory neurons receptive field estimation

G. Aubert, P. Kornprobst, B. Cessac, 2016 .

Printer : Opaque this Shape Gradient for Image and Video Segmentation

G. Aubert, M. Barlaud, A. Herbulot, 2017 .

New Results - Biological and Computational Vision

Iasonas Kokkinos, Rachid Deriche, Petros Maragos, 2007 .

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S. Tramini, Michel Barlaud, Gilles Aubert, 2000 .

Analysis of a New Variational Model to Restore Point-Like and Curve-Like Singularities in Imaging

G. Aubert, L. Blanc-Féraud, Daniele Graziani, 2012, Applied Mathematics & Optimization.

On the Local Minimizers of the CEL0 Relaxation

G. Aubert, L. Blanc-Féraud, Emmanuel Soubies, 2019 .

A relaxation result for an inhomogeneous functional preserving point-like and curve-like singularities in image processing

G. Aubert, Daniele Graziani, 2012 .

Exact biconvex reformulation of the $\ell_2-\ell_0$ minimization problem

G. Aubert, A. Bechensteen, L. Blanc-F'eraud, 2019, 1903.01162.

Image Sequence Restoration: A PDE Based Coupled Method for Image Restoration and Motion Segmentation

Rachid Deriche, Pierre Kornprobst, Gilles Aubert, 1998, ECCV.

Poisson Skeleton Revisited: a New Mathematical Perspective

Gilles Aubert, Jean-François Aujol, G. Aubert, 2012, Journal of Mathematical Imaging and Vision.

Image Sequence Analysis via Partial Differential Equations

Rachid Deriche, Pierre Kornprobst, Gilles Aubert, 1999, Journal of Mathematical Imaging and Vision.

A Variational Model for Image Classification and Restoration

Josiane Zerubia, Gilles Aubert, Laure Blanc-Féraud, 2000, IEEE Trans. Pattern Anal. Mach. Intell..

Computing Optical Flow via Variational Techniques

Rachid Deriche, Pierre Kornprobst, Gilles Aubert, 1999, SIAM J. Appl. Math..

Optimal partitions, regularized solutions, and application to image classification

Gilles Aubert, G. Aubert, Jean-Franç Aujol ‡, 2005 .

Two Variational Models for Multispectral Image Classification

Josiane Zerubia, Gilles Aubert, Laure Blanc-Féraud, 2001, EMMCVPR.

Space Variant Blind Image Restoration

Gilles Aubert, Laure Blanc-Féraud, Saima Ben Hadj, 2014, SIAM J. Imaging Sci..

A Variational Approach to Removing Multiplicative Noise

Gilles Aubert, Jean-François Aujol, G. Aubert, 2008, SIAM J. Appl. Math..

Can the Nonlocal Characterization of Sobolev Spaces by Bourgain et al. Be Useful for Solving Variational Problems?

Pierre Kornprobst, Gilles Aubert, G. Aubert, 2009, SIAM J. Numer. Anal..

Optimization of Divergences within the Exponential Family for Image Segmentation

Mohamed-Jalal Fadili, Marinette Revenu, Gilles Aubert, 2009, SSVM.

DREAM2S: Deformable Regions Driven by an Eulerian Accurate Minimization Method for Image and Video Segmentation

Michel Barlaud, Gilles Aubert, Stéphanie Jehan-Besson, 2002, International Journal of Computer Vision.

A Level Set Model for Image Classification

Josiane Zerubia, Gilles Aubert, Laure Blanc-Féraud, 1999, International Journal of Computer Vision.

Motion and Appearance Nonparametric Joint Entropy for Video Segmentation

Michel Barlaud, Gilles Aubert, Eric Debreuve, 2008, International Journal of Computer Vision.

Space-Time Segmentation Based on a Joint Entropy with Estimation of Nonparametric Distributions

Michel Barlaud, Gilles Aubert, Eric Debreuve, 2007, SSVM.

Segmentation of a Vector Field: Dominant Parameter and Shape Optimization

Michel Barlaud, Gilles Aubert, Eric Debreuve, 2006, Journal of Mathematical Imaging and Vision.

A 3D model with shape prior information for biological structures reconstruction using multiple-angle total internal reflection fluorescence microscopy

Gilles Aubert, Emmanuel Soubies, Laure Blanc-Féraud, 2014, 2014 IEEE 11th International Symposium on Biomedical Imaging (ISBI).

Efficient Schemes for Total Variation Minimization Under Constraints in Image Processing

Gilles Aubert, Pierre Weiss, Laure Blanc-Féraud, 2009, SIAM J. Sci. Comput..

Poisson Skeleton Revisited: a New Mathematical Perspective

G. Aubert, J. Aujol, Jean-François Aujol, 2012, Journal of Mathematical Imaging and Vision.

Signed distance functions and viscosity solutions of discontinuous Hamilton-Jacobi Equations

Gilles Aubert, Jean-François Aujol, G. Aubert, 2002 .

Attenuation map segmentation without reconstruction using a level set method in nuclear medicine imaging

Michel Barlaud, Gilles Aubert, Eric Debreuve, 1998, Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269).

Variational approach for edge-preserving regularization using coupled PDEs

Michel Barlaud, Gilles Aubert, Laure Blanc-Féraud, 1998, IEEE Trans. Image Process..

Region-based active contours and sparse representations for texture segmentation

Mohamed-Jalal Fadili, Marinette Revenu, Gilles Aubert, 2008, 2008 19th International Conference on Pattern Recognition.

Detecting Codimension—Two Objects in an Image with Ginzburg-Landau Models

Gilles Aubert, Jean-François Aujol, Laure Blanc-Féraud, 2005, International Journal of Computer Vision.

From snakes to region-based active contours defined by region-dependent parameters.

Frédéric Precioso, Michel Barlaud, Gilles Aubert, 2004, Applied optics.

Non-parametric and non-rigid registration method applied to myocardial gated SPECT

Michel Barlaud, Gilles Aubert, I. Laurette, 2000, 2000 IEEE Nuclear Science Symposium. Conference Record (Cat. No.00CH37149).

New Insights on the Optimality Conditions of the ℓ 2-ℓ 0 Minimization Problem

Gilles Aubert, Emmanuel Soubies, Laure Blanc-Féraud, 2020, J. Math. Imaging Vis..

A Continuous Relaxation of the Constrained ℓ 2-ℓ 0 Problem

G. Aubert, L. Blanc-Féraud, A. Bechensteen, 2021, J. Math. Imaging Vis..

A continuous relaxation of the constrained $L_2 − L_0$ problem

G. Aubert, L. Blanc-Féraud, A. Bechensteen, 2020 .

New ℓ2 - ℓ0 algorithm for single-molecule localization microscopy.

Laure Blanc-Féraud, Arne Bechensteen, Gilles Aubert, 2020, Biomedical optics express.

A Unified View of Exact Continuous Penalties for ℓ2-ℓ0 Minimization

Gilles Aubert, Emmanuel Soubies, Laure Blanc-Féraud, 2017, SIAM J. Optim..

The topological gradient method for semi-linear problems and application to edge detection and noise removal

Gilles Aubert, Audric Drogoul, G. Aubert, 2016 .

Erratum: A Continuous Exact ℓ0 Penalty (CEL0) for Least Squares Regularized Problem

Gilles Aubert, Emmanuel Soubies, Laure Blanc-Féraud, 2016, SIAM J. Imaging Sci..

Segmentation of Vectorial Image Features Using Shape Gradients and Information Measures

Michel Barlaud, Gilles Aubert, Stéphanie Jehan-Besson, 2006, Journal of Mathematical Imaging and Vision.

Using the Shape Gradient for Active Contour Segmentation: from the Continuous to the Discrete Formulation

Michel Barlaud, Gilles Aubert, Eric Debreuve, 2006, Journal of Mathematical Imaging and Vision.

Shape gradient for image segmentation using information theory

Michel Barlaud, Gilles Aubert, Stéphanie Jehan-Besson, 2004, 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing.

Region-based active contours using geometrical and statistical features for image segmentation

Michel Barlaud, Gilles Aubert, Stéphanie Jehan-Besson, 2003, Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429).

Image Segmentation Using Active Contours: Calculus of Variations or Shape Gradients?

Olivier D. Faugeras, Michel Barlaud, Gilles Aubert, 2003, SIAM J. Appl. Math..

A Nonconvex Model to Remove Multiplicative Noise

Gilles Aubert, Jean-François Aujol, G. Aubert, 2007, SSVM.

Image coupling, restoration and enhancement via PDE's

Rachid Deriche, Pierre Kornprobst, Gilles Aubert, 1997, Proceedings of International Conference on Image Processing.

A contrast equalization procedure for change detection algorithms: Applications to remotely sensed images of urban areas

Gilles Aubert, Pierre Weiss, Laure Blanc-Féraud, 2008, 2008 19th International Conference on Pattern Recognition.

A framework for multi-angle TIRF microscope calibration

Gilles Aubert, Emmanuel Soubies, Laure Blanc-Féraud, 2016, 2016 IEEE 13th International Symposium on Biomedical Imaging (ISBI).

Off-the-Grid Curve Reconstruction through Divergence Regularization: An Extreme Point Result

G. Aubert, L. Blanc-Féraud, Bastien Laville, 2023, SIAM J. Imaging Sci..

Off-The-Grid Variational Sparse Spike Recovery: Methods and Algorithms

Gilles Aubert, Laure Blanc-Féraud, Bastien Laville, 2021, J. Imaging.

Nonlinear image processing: modeling and fast algorithm for regularization with edge detection

M. Barlaud, L. Blanc-Feraud, G. Aubert, 1995, Proceedings., International Conference on Image Processing.

Sparse reconstruction from Multiple-Angle Total Internal Reflection fluorescence Microscopy

Gilles Aubert, Emmanuel Soubies, Laure Blanc-Féraud, 2014, 2014 IEEE International Conference on Image Processing (ICIP).

A Continuous Exact ℓ0 Penalty (CEL0) for Least Squares Regularized Problem

G. Aubert, L. Blanc-Féraud, Emmanuel Soubies, 2015, SIAM J. Imaging Sci..

Classification d'images multibandes par modèles variationnels

Josiane Zerubia, Gilles Aubert, Laure Blanc-Féraud, 2000 .

Multiphase Evolution and Variational Image Classification

Josiane Zerubia, Gilles Aubert, Laure Blanc-Féraud, 1999 .