Antonin Chambolle

Claire Delplancke

Matthias J. Ehrhardt

Carola-Bibiane Schönlieb

Junqi Tang

J. Math. Imaging Vis., June, 2024

\({\boldsymbol{{L}^{1}}}\)-Gradient Flow of Convex Functionals.

[BibT_eX]

[DOI]

SIAM J. Math. Anal., 2024

Inclusion and Estimates for the Jumps of Minimizers in Variational Denoising.

[BibT_eX]

[DOI]

Michal Lasica

SIAM J. Imaging Sci., 2024

2023

Crystallinity of the Homogenized Energy Density of Periodic Lattice Systems.

[BibT_eX]

[DOI]

Leonard Kreutz

Multiscale Model. Simul., March, 2023

Explicit Diffusion of Gaussian Mixture Model Based Image Priors.

[BibT_eX]

[DOI]

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2023

A Relaxed Proximal Gradient Descent Algorithm for Convergent Plug-and-Play with Proximal Denoiser.

[BibT_eX]

[DOI]

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2023

Learned Discretization Schemes for the Second-Order Total Generalized Variation.

[BibT_eX]

[DOI]

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2023

The Total Variation-Wasserstein Problem: A New Derivation of the Euler-Lagrange Equations.

[BibT_eX]

[DOI]

Vincent Duval

João Miguel Machado

Proceedings of the Geometric Science of Information - 6th International Conference, 2023

2022

Accelerated Bregman Primal-Dual Methods Applied to Optimal Transport and Wasserstein Barycenter Problems.

[BibT_eX]

[DOI]

Juan Pablo Contreras

SIAM J. Math. Data Sci., December, 2022

Convergence of a Piggyback-Style Method for the Differentiation of Solutions of Standard Saddle-Point Problems.

[BibT_eX]

[DOI]

Lea Bogensperger

SIAM J. Math. Data Sci., 2022

"FISTA" in Banach spaces with adaptive discretisations.

[BibT_eX]

[DOI]

Robert Tovey

Comput. Optim. Appl., 2022

2021

Learning Consistent Discretizations of the Total Variation.

[BibT_eX]

[DOI]

SIAM J. Imaging Sci., 2021

2020

Crouzeix-Raviart Approximation of the Total Variation on Simplicial Meshes.

[BibT_eX]

[DOI]

J. Math. Imaging Vis., 2020

A Convex Variational Model for Learning Convolutional Image Atoms from Incomplete Data.

[BibT_eX]

[DOI]

Martin Holler

J. Math. Imaging Vis., 2020

Inexact first-order primal-dual algorithms.

[BibT_eX]

[DOI]

Julian Rasch

Comput. Optim. Appl., 2020

Classification and feature selection using a primal-dual method and projection on structured constraints.

[BibT_eX]

[DOI]

Michel Barlaud

Jean-Baptiste Caillau

Proceedings of the 25th International Conference on Pattern Recognition, 2020

2019

Backtracking Strategies for Accelerated Descent Methods with Smooth Composite Objectives.

[BibT_eX]

[DOI]

Luca Calatroni

SIAM J. Optim., 2019

On Representer Theorems and Convex Regularization.

[BibT_eX]

[DOI]

SIAM J. Optim., 2019

Total roto-translational variation.

[BibT_eX]

[DOI]

Numerische Mathematik, 2019

Pointwise Besov Space Smoothing of Images.

[BibT_eX]

[DOI]

J. Math. Imaging Vis., 2019

On the convergence rate of some nonlocal energies.

[BibT_eX]

[DOI]

Valerio Pagliari

CoRR, 2019

Robust supervised classification and feature selection using a primal-dual method.

[BibT_eX]

[DOI]

Michel Barlaud

Jean-Baptiste Caillau

CoRR, 2019

2018

Stochastic Primal-Dual Hybrid Gradient Algorithm with Arbitrary Sampling and Imaging Applications.

[BibT_eX]

[DOI]

Matthias J. Ehrhardt

Peter Richtárik

Carola-Bibiane Schönlieb

SIAM J. Optim., 2018

Convex Regularization and Representer Theorems.

[BibT_eX]

[DOI]

CoRR, 2018

2017

Regularity for the Optimal Compliance Problem with Length Penalization.

[BibT_eX]

[DOI]

SIAM J. Math. Anal., 2017

Accelerated Alternating Descent Methods for Dykstra-Like Problems.

[BibT_eX]

[DOI]

Pauline Tan

Samuel Vaiter

J. Math. Imaging Vis., 2017

Occlusion detection in dense stereo estimation with convex optimization.

[BibT_eX]

[DOI]

Pauline Tan

Pascal Monasse

Proceedings of the 2017 IEEE International Conference on Image Processing, 2017

2016

On the ergodic convergence rates of a first-order primal-dual algorithm.

[BibT_eX]

[DOI]

Math. Program., 2016

An introduction to continuous optimization for imaging.

[BibT_eX]

[DOI]

Acta Numer., 2016

2015

Total Variation in Imaging.

[BibT_eX]

[DOI]

Vicent Caselles

Proceedings of the Handbook of Mathematical Methods in Imaging, 2015

On the Convergence of the Iterates of the "Fast Iterative Shrinkage/Thresholding Algorithm".

[BibT_eX]

[DOI]

Charles Dossal

J. Optim. Theory Appl., 2015

Continuous Matching via Vector Field Flow.

[BibT_eX]

[DOI]

Etienne Corman

Maks Ovsjanikov

Comput. Graph. Forum, 2015

2014

Convex Relaxation of Vectorial Problems with Coupled Regularization.

[BibT_eX]

[DOI]

Evgeny Strekalovskiy

Daniel Cremers

SIAM J. Imaging Sci., 2014

Adapted Basis for Nonlocal Reconstruction of Missing Spectrum.

[BibT_eX]

[DOI]

Khalid Jalalzai

SIAM J. Imaging Sci., 2014

Properties of minimizers of the total variation and of the solutions of the total variation flow.

[BibT_eX]

[DOI]

Khalid Jalalzai

Proceedings of the 2014 IEEE International Conference on Image Processing, 2014

Supervised Descriptor Learning for Non-Rigid Shape Matching.

[BibT_eX]

[DOI]

Etienne Corman

Maks Ovsjanikov

Proceedings of the Computer Vision - ECCV 2014 Workshops, 2014

2013

Guest Editorial: Variational Models, Convex Analysis and Numerical Optimization in Mathematical Imaging.

[BibT_eX]

[DOI]

J. Math. Imaging Vis., 2013

2012

A Nonlocal Mean Curvature Flow and Its Semi-implicit Time-Discrete Approximation.

[BibT_eX]

[DOI]

Massimiliano Morini

Marcello Ponsiglione

SIAM J. Math. Anal., 2012

A Convex Approach to Minimal Partitions.

[BibT_eX]

[DOI]

Daniel Cremers

SIAM J. Imaging Sci., 2012

A posteriori error estimates for the effective Hamiltonian of dislocation dynamics.

[BibT_eX]

[DOI]

Simone Cacace

Régis Monneau

Numerische Mathematik, 2012

A convex representation for the vectorial Mumford-Shah functional.

[BibT_eX]

[DOI]

Evgeny Strekalovskiy

Daniel Cremers

Proceedings of the 2012 IEEE Conference on Computer Vision and Pattern Recognition, 2012

2011

An Upwind Finite-Difference Method for Total Variation-Based Image Smoothing.

[BibT_eX]

[DOI]

Stacey Levine

Bradley J. Lucier

SIAM J. Imaging Sci., 2011

A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging.

[BibT_eX]

[DOI]

J. Math. Imaging Vis., 2011

Diagonal preconditioning for first order primal-dual algorithms in convex optimization.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Computer Vision, 2011

2010

Global Solutions of Variational Models with Convex Regularization.

[BibT_eX]

[DOI]

SIAM J. Imaging Sci., 2010

Revisiting Energy Release Rates in Brittle Fracture.

[BibT_eX]

[DOI]

Gilles A. Francfort

Jean-Jacques Marigo

J. Nonlinear Sci., 2010

2009

Homogenization of interfacial energies and construction of plane-like minimizers in periodic media through a cell problem.

[BibT_eX]

[DOI]

Gilles Thouroude

Networks Heterog. Media, 2009

On Total Variation Minimization and Surface Evolution Using Parametric Maximum Flows.

[BibT_eX]

[DOI]

Jérôme Darbon

Int. J. Comput. Vis., 2009

Enhancement of Blurred and Noisy Images Based on an Original Variant of the Total Variation.

[BibT_eX]

[DOI]

Khalid Jalalzai

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009

An algorithm for minimizing the Mumford-Shah functional.

[BibT_eX]

[DOI]

Proceedings of the IEEE 12th International Conference on Computer Vision, ICCV 2009, Kyoto, Japan, September 27, 2009

A convex relaxation approach for computing minimal partitions.

[BibT_eX]

[DOI]

Proceedings of the 2009 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR 2009), 2009

2007

Interaction of a Bulk and a Surface Energy with a Geometrical Constraint.

[BibT_eX]

[DOI]

Margherita Solci

SIAM J. Math. Anal., 2007

The Discontinuity Set of Solutions of the TV Denoising Problem and Some Extensions.

[BibT_eX]

[DOI]

Vicent Caselles

Multiscale Model. Simul., 2007

Total Variation Minimization and Graph Cuts for Moving Objects Segmentation.

[BibT_eX]

[DOI]

Florent Ranchin

Françoise Dibos

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2007

2006

Convergence of an Algorithm for the Anisotropic and Crystalline Mean Curvature Flow.

[BibT_eX]

[DOI]

SIAM J. Math. Anal., 2006

2005

Image Decomposition into a Bounded Variation Component and an Oscillating Component.

[BibT_eX]

[DOI]

J. Math. Imaging Vis., 2005

Dual Norms and Image Decomposition Models.

[BibT_eX]

[DOI]

Jean-François Aujol

Int. J. Comput. Vis., 2005

Total Variation Minimization and a Class of Binary MRF Models.

[BibT_eX]

[DOI]

Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition, 2005

2004

An Algorithm for Total Variation Minimization and Applications.

[BibT_eX]

[DOI]

J. Math. Imaging Vis., 2004

A l<sup>1</sup>-Unified Variational Framework for Image Restoration.

[BibT_eX]

[DOI]

Proceedings of the Computer Vision, 2004

2003

Image Decomposition Application to SAR Images.

[BibT_eX]

[DOI]

Proceedings of the Scale Space Methods in Computer Vision, 4th International Conference, 2003

2002

Computing the Equilibrium Configuration of Epitaxially Strained Crystalline Films.

[BibT_eX]

[DOI]

Eric Bonnetier

SIAM J. Appl. Math., 2002

2001

Interpreting translation-invariant wavelet shrinkage as a new image smoothing scale space.

[BibT_eX]

[DOI]

Bradley J. Lucier

IEEE Trans. Image Process., 2001

2000

Implementation of an adaptive finite-element approximation of the Mumford-Shah functional.

[BibT_eX]

[DOI]

Blaise Bourdin

Numerische Mathematik, 2000

1998

Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage.

[BibT_eX]

[DOI]

IEEE Trans. Image Process., 1998

1995

Image Segmentation by Variational Methods: Mumford and Shah Functional and the Discrete Approximations.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 1995

1994

Partial Differential Equations and Image Processing.

[BibT_eX]

[DOI]