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A Remark on the Anisotropic Outer Minkowski content

Antonin Chambolle , Stefano Lisini , Luca Lussardi
2012
Preprints, Working Papers, ... hal-00681922v2
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The $\Gamma$-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension

Giovanni Bellettini , Antonin Chambolle , Michael Goldman
Mathematical Models and Methods in Applied Sciences, 2014
Journal articles hal-00779609v1
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Accelerated Alternating Descent Methods for Dykstra-like problems

Antonin Chambolle , Pauline Tan , Samuel Vaiter
Journal of Mathematical Imaging and Vision, 2017, 59 (3), pp.481-497. ⟨10.1007/s10851-017-0724-6⟩
Journal articles hal-01346532v1

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

Antonin Chambolle , Gilles Thouroude
Networks and Heterogeneous Media, 2009, 4 (1), pp.127-152. ⟨10.3934/nhm.2009.4.127⟩
Journal articles hal-00381326v1
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Variational approximation of size-mass energies for k-dimensional currents

Antonin Chambolle , Luca Alberto Davide Ferrari , Benoît Merlet
ESAIM: Control, Optimisation and Calculus of Variations, 2019, 25 (2019) (43), pp.39. ⟨10.1051/cocv/2018027⟩
Journal articles hal-01622540v3
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Error estimates for finite differences approximations of the total variation

Corentin Caillaud , Antonin Chambolle
IMA Journal of Numerical Analysis, 2022, pp.drac001. ⟨10.1093/imanum/drac001⟩
Journal articles hal-02539136v2
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On Representer Theorems and Convex Regularization

Claire Boyer , Antonin Chambolle , Yohann de Castro , Vincent Duval , Frédéric de Gournay et al.
SIAM Journal on Optimization, 2019, 29 (2), pp.1260-1281. ⟨10.1137/18M1200750⟩
Journal articles hal-01823135v3
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Energy release rate for non smooth cracks in planar elasticity

Jean-François Babadjian , Antonin Chambolle , Antoine Lemenant
Journal de l'École polytechnique — Mathématiques, 2015, 2, pp.117-152
Journal articles hal-01015179v1

Macroscopic contact angle and liquid drops on rough solid surfaces via homogenization and numerical simulations

Simone Cacace , Antonin Chambolle , Antonio Desimone , Livio Fedeli
ESAIM: Mathematical Modelling and Numerical Analysis, 2013, 47 (3), pp.837-858. ⟨10.1051/m2an/2012048⟩
Journal articles hal-00854862v1
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Some results on anisotropic fractional mean curvature flows

Antonin Chambolle , Matteo Novaga , Berardo Ruffini
Interfaces and Free Boundaries, 2017, 19 (3), pp.393-415. ⟨10.4171/IFB/387⟩
Journal articles hal-01291718v1
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On the Convergence Rate of some Nonlocal Energies

Antonin Chambolle , Matteo Novaga , Valerio Pagliari
Nonlinear Analysis: Theory, Methods and Applications, 2020, 200 (112016), 23pp. ⟨10.1016/j.na.2020.112016⟩
Journal articles hal-02164431v2
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Representation, relaxation and convexity for variational problems in Wiener spaces

Antonin Chambolle , Michael Goldman , Matteo Novaga
Journal de Mathématiques Pures et Appliquées, 2013
Journal articles hal-00627083v4
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KORN AND POINCARÉ-KORN INEQUALITIES FOR FUNCTIONS WITH SMALL JUMP SET

Filippo Cagnetti , Antonin Chambolle , Lucia Scardia
2020
Preprints, Working Papers, ... hal-02775095v1

Geometric properties of solutions to the total variation denoising problem

Antonin Chambolle , Vincent Duval , Gabriel Peyré , Clarice Poon
Inverse Problems, 2016
Journal articles hal-01323720v1
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Existence and uniqueness for planar anisotropic and crystalline curvature flow.

Antonin Chambolle , Matteo Novaga
2013
Preprints, Working Papers, ... hal-00786387v1
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AN EXTENSION RESULT FOR GENERALISED SPECIAL FUNCTIONS OF BOUNDED DEFORMATION

Filippo Cagnetti , Antonin Chambolle , Matteo Perugini , Lucia Scardia
Journal of Convex Analysis, 2020, 28 (2), pp.457--470
Journal articles hal-03347722v1
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A phase-field approximation of the Steiner problem in dimension two

Antonin Chambolle , Luca Alberto Davide Ferrari , Benoît Merlet
Advances in Calculus of Variation, 2019, 12 (2), pp.157-179. ⟨10.1515/acv-2016-0034⟩
Journal articles hal-01359483v2

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

Antonin Chambolle , M. Holler , T. Pock
Journal of Mathematical Imaging and Vision, 2020, 62 (3), pp.417-444. ⟨10.1007/s10851-019-00919-7⟩
Journal articles hal-02959406v1
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Variational approximation of size-mass energies for k-dimensional currents

Antonin Chambolle , Luca A.D. Ferrari , Benoit Merlet
ESAIM: Control, Optimisation and Calculus of Variations, 2019, 25, pp.43. ⟨10.1051/cocv/2018027⟩
Journal articles hal-02952640v1
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Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field

François Alouges , Antonin Chambolle , Dominik Stantejsky
Calculus of Variations and Partial Differential Equations, In press
Journal articles hal-03583697v2
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Total Variation Minimization and Graph Cuts for Moving Objects Segmentation

Florent Ranchin , Antonin Chambolle , Françoise Dibos
2006
Preprints, Working Papers, ... hal-00092007v1
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Backtracking strategies for accelerated descent methods with smooth composite objectives

Luca Calatroni , Antonin Chambolle
SIAM Journal on Optimization, 2019, 29 (3), pp.1772--1798
Journal articles hal-01596103v1
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On the convergence of the iterates of "FISTA

Antonin Chambolle , Charles H Dossal
Journal of Optimization Theory and Applications, 2015, Volume 166 ( Issue 3), pp.25
Journal articles hal-01060130v3
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Crouzeix-Raviart approximation of the total variation on simplicial meshes

Antonin Chambolle , Thomas Pock
Journal of Mathematical Imaging and Vision, 2020, 62 (6-7), pp.872--899. ⟨10.1007/s10851-019-00939-3⟩
Journal articles hal-01787012v3
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Strong approximation in h-mass of rectifiable currents under homological constraint

Antonin Chambolle , Luca Alberto Davide Ferrari , Benoît Merlet
Advances in Calculus of Variation, 2021, 14 (3), pp.343--363. ⟨10.1515/acv-2018-0079⟩
Journal articles hal-01813234v1
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A first-order primal-dual algorithm for convex problems with applications to imaging

Antonin Chambolle , Thomas Pock
2010
Preprints, Working Papers, ... hal-00490826v1
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The volume preserving crystalline mean curvature flow of convex sets in R^N

Giovanni Bellettini , Vicent Caselles , Antonin Chambolle , Matteo Novaga
Journal de Mathématiques Pures et Appliquées, 2009, 92 (5), pp.499-527. ⟨10.1016/j.matpur.2009.05.016⟩
Journal articles hal-00440091v1
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Some Variations on Total Variation--Based Image Smoothing

Antonin Chambolle , Stacey Levine , Bradley Lucier
2009
Preprints, Working Papers, ... hal-00370195v1
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A posteriori error estimates for the effective Hamiltonian of dislocation dynamics

Simone Cacace , Antonin Chambolle , Régis Monneau
Numerische Mathematik, 2011, 55 p. ⟨10.1007/s00211-011-0430-z⟩
Journal articles hal-00432605v1
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Implicit time discretization of the mean curvature flow with a discontinuous forcing term.

Antonin Chambolle , Matteo Novaga
Interfaces and Free Boundaries, 2008, 10 (3), pp.283--300
Journal articles hal-00381471v1