Gilles Aubert

According to our database1, Gilles Aubert authored at least 92 papers between 1994 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
A $\varGamma $-Convergence Result and An Off-the-Grid Charge Algorithm for Curve Reconstruction in Inverse Problems.
J. Math. Imaging Vis., August, 2024

2023
Off-the-Grid Curve Reconstruction through Divergence Regularization: An Extreme Point Result.
SIAM J. Imaging Sci., June, 2023

Off-the-Grid Charge Algorithm for Curve Reconstruction in Inverse Problems.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2023

2022
Off-The-Grid Covariance-Based Super-Resolution Fluctuation Microscopy.
Proceedings of the IEEE International Conference on Acoustics, 2022

2021
A Continuous Relaxation of the Constrained ℓ <sub>2-ℓ</sub> <sub>0</sub> Problem.
J. Math. Imaging Vis., 2021

Off-The-Grid Variational Sparse Spike Recovery: Methods and Algorithms.
J. Imaging, 2021

2020
New Insights on the Optimality Conditions of the ℓ <sub>2-ℓ</sub> <sub>0</sub> Minimization Problem.
J. Math. Imaging Vis., 2020

2019
New Methods for l2-l0 Minimization and their Applications to 2D Single-Molecule Localization Microscopy.
Proceedings of the 16th IEEE International Symposium on Biomedical Imaging, 2019

2018
Single molecule localization by 𝓁<sub>2</sub>-𝓁<sub>0</sub> constrained optimization.
CoRR, 2018

2017
A Unified View of Exact Continuous Penalties for ℓ<sub>2</sub>-ℓ<sub>0</sub> Minimization.
SIAM J. Optim., 2017

2016
Erratum: A Continuous Exact ℓ<sub>0</sub> Penalty (CEL0) for Least Squares Regularized Problem.
SIAM J. Imaging Sci., 2016

A framework for multi-angle TIRF microscope calibration.
Proceedings of the 13th IEEE International Symposium on Biomedical Imaging, 2016

2015
A Continuous Exact ℓ<sub>0</sub> Penalty (CEL0) for Least Squares Regularized Problem.
SIAM J. Imaging Sci., 2015

2014
Space Variant Blind Image Restoration.
SIAM J. Imaging Sci., 2014

Poisson Skeleton Revisited: a New Mathematical Perspective.
J. Math. Imaging Vis., 2014

A 3D model with shape prior information for biological structures reconstruction using multiple-angle total internal reflection fluorescence microscopy.
Proceedings of the IEEE 11th International Symposium on Biomedical Imaging, 2014

Sparse reconstruction from Multiple-Angle Total Internal Reflection fluorescence Microscopy.
Proceedings of the 2014 IEEE International Conference on Image Processing, 2014

Topological gradient for a fourth order PDE and application to the detection of fine structures in 2D and 3D images.
Proceedings of the 2014 IEEE International Conference on Image Processing, 2014

2013
Blind depth-variant blur removal in confocal microscopy.
Proceedings of the 10th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2013

Blind restoration of confocal microscopy images in presence of a depth-variant blur and Poisson noise.
Proceedings of the IEEE International Conference on Acoustics, 2013

2012
Erratum: A Formal Gamma-Convergence Approach for the Detection of Points in 2-D Images.
SIAM J. Imaging Sci., 2012

2011
On the Illumination Invariance of the Level Lines under Directed Light: Application to Change Detection.
SIAM J. Imaging Sci., 2011

A new variational method for preserving point-like and curve-like singularities in 2-D images.
Proceedings of the IEEE International Conference on Acoustics, 2011

2010
A Formal Gamma-Convergence Approach for the Detection of Points in 2-D Images.
SIAM J. Imaging Sci., 2010

Region-Based Active Contours with Exponential Family Observations.
J. Math. Imaging Vis., 2010

Detection and tracking of threats in aerial infrared images by a minimal path approach.
Proceedings of the IEEE International Conference on Acoustics, 2010

2009
Efficient Schemes for Total Variation Minimization Under Constraints in Image Processing.
SIAM J. Sci. Comput., 2009

Can the Nonlocal Characterization of Sobolev Spaces by Bourgain et al. Be Useful for Solving Variational Problems?
SIAM J. Numer. Anal., 2009

Optimization of Divergences within the Exponential Family for Image Segmentation.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009

A New Variational Method to Detect Points in Biological Images.
Proceedings of the 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, Boston, MA, USA, June 28, 2009

2008
A Variational Approach to Removing Multiplicative Noise.
SIAM J. Appl. Math., 2008

Motion and Appearance Nonparametric Joint Entropy for Video Segmentation.
Int. J. Comput. Vis., 2008

Region-based active contours and sparse representations for texture segmentation.
Proceedings of the 19th International Conference on Pattern Recognition (ICPR 2008), 2008

A contrast equalization procedure for change detection algorithms: Applications to remotely sensed images of urban areas.
Proceedings of the 19th International Conference on Pattern Recognition (ICPR 2008), 2008

2007
Using the Shape Gradient for Active Contour Segmentation: from the Continuous to the Discrete Formulation.
J. Math. Imaging Vis., 2007

Space-Time Segmentation Based on a Joint Entropy with Estimation of Nonparametric Distributions.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2007

Detection and Completion of Filaments: A Vector Field and PDE Approach.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2007

A Nonconvex Model to Remove Multiplicative Noise.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2007

2006
Segmentation of a Vector Field: Dominant Parameter and Shape Optimization.
J. Math. Imaging Vis., 2006

Segmentation of Vectorial Image Features Using Shape Gradients and Information Measures.
J. Math. Imaging Vis., 2006

Region-Based Active Contour with Noise and Shape Priors.
Proceedings of the International Conference on Image Processing, 2006

Active Contour Segmentation with a Parametric Shape Prior: Link with the Shape Gradient.
Proceedings of the International Conference on Image Processing, 2006

Statistical Region-Based Active Contours with Exponential Family Observations.
Proceedings of the 2006 IEEE International Conference on Acoustics Speech and Signal Processing, 2006

Mathematical problems in image processing - partial differential equations and the calculus of variations, 2nd Edition.
Applied mathematical sciences 147, Springer, ISBN: 9781441921826, 2006

Shape Gradient for Image and Video Segmentation.
Proceedings of the Handbook of Mathematical Models in Computer Vision, 2006

2005
Image Decomposition into a Bounded Variation Component and an Oscillating Component.
J. Math. Imaging Vis., 2005

Detecting Codimension - Two Objects in an Image with Ginzburg-Landau Models.
Int. J. Comput. Vis., 2005

2004
Combining shape prior and statistical features for active contour segmentation.
IEEE Trans. Circuits Syst. Video Technol., 2004

Gamma-Convergence of Discrete Functionals with Nonconvex Perturbation for Image Classification.
SIAM J. Numer. Anal., 2004

Image Disocclusion Using a Probabilistic Gradient Orientation.
Proceedings of the 17th International Conference on Pattern Recognition, 2004

Shape gradient for multi-modal image segmentation using mutual information.
Proceedings of the 2004 International Conference on Image Processing, 2004

Shape gradient for image segmentation using information theory.
Proceedings of the 2004 IEEE International Conference on Acoustics, 2004

A l<sup>1</sup>-Unified Variational Framework for Image Restoration.
Proceedings of the Computer Vision, 2004

2003
Wavelet-based level set evolution for classification of textured images.
IEEE Trans. Image Process., 2003

Image Segmentation Using Active Contours: Calculus of Variations or Shape Gradients?
SIAM J. Appl. Math., 2003

DREAM2S: Deformable Regions Driven by an Eulerian Accurate Minimization Method for Image and Video Segmentation.
Int. J. Comput. Vis., 2003

Image Decomposition Application to SAR Images.
Proceedings of the Scale Space Methods in Computer Vision, 4th International Conference, 2003

Filtering interferometric phase images by anisotropic diffusion.
Proceedings of the 2003 International Conference on Image Processing, 2003

Region-based active contours using geometrical and statistical features for image segmentation.
Proceedings of the 2003 International Conference on Image Processing, 2003

Shape Gradients for Histogram Segmentation using Active Contours.
Proceedings of the 9th IEEE International Conference on Computer Vision (ICCV 2003), 2003

2002
A 3-Step Algorithm Using Region-Based Active Contours for Video Objects Detection.
EURASIP J. Adv. Signal Process., 2002

A Variational Approach to One Dimensional Phase Unwrapping.
Proceedings of the 16th International Conference on Pattern Recognition, 2002

DREAM<sup>2</sup>S: Deformable Regions Driven by an Eulerian Accurate Minimization Method for Image and Video Segmentation.
Proceedings of the Computer Vision, 2002

Mathematical problems in image processing - partial differential equations and the calculus of variations.
Applied mathematical sciences 147, Springer, ISBN: 0387953264, 2002

2001
Space-Time Segmentation Using Level Set Active Contours Applied to Myocardial Gated SPECT.
IEEE Trans. Medical Imaging, 2001

An object based motion method for video coding.
Proceedings of the 2001 International Conference on Image Processing, 2001

Region-based active contours for video object segmentation with camera compensation.
Proceedings of the 2001 International Conference on Image Processing, 2001

Video Objects Segmentation Using Eulerian Region-Based Active Contours.
Proceedings of the Eighth International Conference On Computer Vision (ICCV-01), Vancouver, British Columbia, Canada, July 7-14, 2001, 2001

Two Variational Models for Multispectral Image Classification.
Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition, 2001

2000
A Variational Model for Image Classification and Restoration.
IEEE Trans. Pattern Anal. Mach. Intell., 2000

A Level Set Model for Image Classification.
Int. J. Comput. Vis., 2000

Detection and Tracking of Moving Objects using a New Level Set Based Method.
Proceedings of the 15th International Conference on Pattern Recognition, 2000

Spatio-Frequency Noise Distribution a Priori for Satellite Image Joint Denoising/Deblurring.
Proceedings of the 2000 International Conference on Image Processing, 2000

1999
Computing Optical Flow via Variational Techniques.
SIAM J. Appl. Math., 1999

Image Sequence Analysis via Partial Differential Equations.
J. Math. Imaging Vis., 1999

Some Remarks on the Equivalence between 2D and 3D Classical Snakes and Geodesic Active Contours.
Int. J. Comput. Vis., 1999

Optimal Joint Decoding/deblurring Method for Optical Images.
Proceedings of the 1999 International Conference on Image Processing, 1999

Inward and Outward Curve Evolution Using Level Set Method.
Proceedings of the 1999 International Conference on Image Processing, 1999

Simultaneous Image Classification and Restoration Using a Variational Approach.
Proceedings of the 1999 Conference on Computer Vision and Pattern Recognition (CVPR '99), 1999

1998
Variational approach for edge-preserving regularization using coupled PDEs.
IEEE Trans. Image Process., 1998

Quantization Noise Removal for Optimal Transform Decoding.
Proceedings of the 1998 IEEE International Conference on Image Processing, 1998

Attenuation Map Segmentation without Reconstruction Using a Level Set Method in Nuclear Medicine Imaging.
Proceedings of the 1998 IEEE International Conference on Image Processing, 1998

Image Sequence Restoration: A PDE Based Coupled Method for Image Restoration and Motion Segmentation.
Proceedings of the Computer Vision, 1998

1997
Deterministic edge-preserving regularization in computed imaging.
IEEE Trans. Image Process., 1997

Segmentation and Edge-Preserving Restoration.
Proceedings of the Proceedings 1997 International Conference on Image Processing, 1997

Image Coupling, Restoration and Enhancement via PDE's.
Proceedings of the Proceedings 1997 International Conference on Image Processing, 1997

Non-linear operators in image restoration.
Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97), 1997

1996
Nonlinear regularization using constrained edges in image reconstruction.
Proceedings of the Proceedings 1996 International Conference on Image Processing, 1996

1995
Nonlinear image processing: modeling and fast algorithm for regularization with edge detection.
Proceedings of the Proceedings 1995 International Conference on Image Processing, 1995

Optical-Flow Estimation while Preserving Its Discontinuities: A Variational Approach.
Proceedings of the Recent Developments in Computer Vision, 1995

1994
A deterministic algorithm for edge-preserving computed imaging using Legendre transform.
Proceedings of the 12th IAPR International Conference on Pattern Recognition, 1994

Two Deterministic Half-Quadratic Regularization Algorithms for Computed Imaging.
Proceedings of the Proceedings 1994 International Conference on Image Processing, 1994


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