Antonin Chambolle

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Antonin Chambolle

Mathematics

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Applied Mathematics

#217

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#238

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Measure Theory

#1318

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#1662

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Mathematics

Antonin Chambolle's Degrees

PhD Mathematics Université Paris Cité
Masters Mathematics Université Paris Cité
Bachelors Mathematics Université Paris Cité

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Antonin Chambolle's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging (2011) (4152)
Image recovery via total variation minimization and related problems (1997) (1703)
An Algorithm for Total Variation Minimization and Applications (2004) (983)
Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage (1998) (832)
Diagonal preconditioning for first order primal-dual algorithms in convex optimization (2011) (461)
An introduction to Total Variation for Image Analysis (2009) (423)
On the ergodic convergence rates of a first-order primal–dual algorithm (2016) (418)
Practical, Unified, Motion and Missing Data Treatment in Degraded Video (2004) (408)
An algorithm for minimizing the Mumford-Shah functional (2009) (400)
An introduction to continuous optimization for imaging (2016) (390)
Image Decomposition into a Bounded Variation Component and an Oscillating Component (2005) (389)
Total Variation Minimization and a Class of Binary MRF Models (2005) (385)
Dual Norms and Image Decomposition Models (2005) (379)
Design-dependent loads in topology optimization (2003) (363)
On the Convergence of the Iterates of the “Fast Iterative Shrinkage/Thresholding Algorithm” (2015) (335)
A convex relaxation approach for computing minimal partitions (2009) (314)
Image Segmentation by Variational Methods: Mumford and Shah Functional and the Discrete Approximations (1995) (224)
On Total Variation Minimization and Surface Evolution Using Parametric Maximum Flows (2009) (205)
A l1-Unified Variational Framework for Image Restoration (2004) (195)
A Convex Approach to Minimal Partitions (2012) (195)
Global Solutions of Variational Models with Convex Regularization (2010) (173)
A Density Result in Two-Dimensional Linearized Elasticity, and Applications (2003) (165)
Stochastic Primal-Dual Hybrid Gradient Algorithm with Arbitrary Sampling and Imaging Applications (2017) (157)
An approximation result for special functions with bounded deformation (2004) (143)
Implementation of an adaptive finite-element approximation of the Mumford-Shah functional (2000) (143)
An algorithm for Mean Curvature Motion (2004) (143)
The Discontinuity Set of Solutions of the TV Denoising Problem and Some Extensions (2007) (142)
FINITE-DIFFERENCES DISCRETIZATIONS OF THE MUMFORD-SHAH FUNCTIONAL (1999) (139)
When and how do cracks propagate? (2009) (126)
A characterization of convex calibrable sets in (2005) (121)
Uniqueness of the Cheeger set of a convex body (2007) (114)
A convex approach for computing minimal partitions (2008) (110)
Discrete approximation of the Mumford-Shah functional in dimension two (1999) (96)
A characterization of convex calibrable sets in RN with respect to anisotropic norms (2008) (92)
On the convergence of the iterates of "FISTA" (2015) (88)
Crystalline Mean Curvature Flow of Convex Sets (2006) (85)
Nonlocal Curvature Flows (2014) (79)
Partial differential equations and image processing (1994) (78)
On Representer Theorems and Convex Regularization (2018) (75)
Crack Initiation in Brittle Materials (2008) (74)
Image Decomposition Application to SAR Images (2003) (72)
An Upwind Finite-Difference Method for Total Variation-Based Image Smoothing (2011) (72)
Regularity for solutions of the total variation denoising problem (2011) (61)
A remark on accelerated block coordinate descent for computing the proximity operators of a sum of convex functions (2015) (61)
Interpreting translation-invariant wavelet shrinkage as a new image smoothing scale space (2001) (60)
Total Variation in Imaging (2015) (60)
Supervised Descriptor Learning for Non-Rigid Shape Matching (2014) (59)
Revisiting Energy Release Rates in Brittle Fracture (2010) (57)
The Phase-Field Method in Optimal Design (2006) (56)
A Hölder infinity Laplacian (2012) (56)
Geometric properties of solutions to the total variation denoising problem (2016) (55)
Anisotropic curvature-driven flow of convex sets (2006) (53)
A Density Result in GSBDp with Applications to the Approximation of Brittle Fracture Energies (2017) (53)
Computing the Equilibrium Configuration of Epitaxially Strained Crystalline Films (2002) (51)
Continuity of neumann linear elliptic problems on varying two—dimensional bounded open sets (1997) (50)
A convex representation for the vectorial Mumford-Shah functional (2012) (47)
Korn-Poincaré inequalities for functions with a small jump set (2016) (47)
Compactness and lower semicontinuity in $GSBD$ (2018) (45)
Image decomposition: application to textured images and SAR images (2003) (43)
Some remarks on uniqueness and regularity of Cheeger sets (2010) (43)
The volume preserving crystalline mean curvature flow of convex sets in R^N (2009) (42)
Convergence of an Algorithm for the Anisotropic and Crystalline Mean Curvature Flow (2006) (42)
Approximation of functions with small jump sets and existence of strong minimizers of Griffith's energy (2017) (40)
A relaxation result for energies defined on pairs set-function and applications (2007) (37)
A Nonlocal Mean Curvature Flow and Its Semi-implicit Time-Discrete Approximation (2012) (37)
Inexact first-order primal–dual algorithms (2018) (37)
Approximation of a Brittle Fracture Energy with a Constraint of Non-interpenetration (2017) (37)
$C^\infty$ regularity of the free boundary for a two-dimensional optimal compliance problem (2003) (37)
Continuous limits of discrete perimeters (2009) (36)
Consistency result for a non monotone scheme for anisotropic mean curvature flow (2010) (35)
Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow (2005) (35)
Convex Relaxation of Vectorial Problems with Coupled Regularization (2014) (34)
Addendum to “An approximation result for special functions with bounded deformation” [J. Math. Pures Appl. (9) 83 (7) (2004) 929–954]: the N-dimensional case (2005) (33)
Implicit time discretization of the mean curvature flow with a discontinuous forcing term (2008) (32)
Time-delay regularization of anisotropic diffusion and image processing (2005) (31)
Total roto-translational variation (2017) (31)
Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals (2019) (31)
Homogenization of interfacial energies and construction of plane-like minimizers in periodic media through a cell problem (2009) (30)
Existence and Uniqueness for a Crystalline Mean Curvature Flow (2015) (30)
Continuous Matching via Vector Field Flow (2015) (29)
Interaction of a Bulk and a Surface Energy with a Geometrical Constraint (2007) (28)
Addendum to An approximation result for special functions with bounded deformation : the N dimensional case (2004) (28)
Some results on anisotropic fractional mean curvature flows (2016) (27)
Backtracking Strategies for Accelerated Descent Methods with Smooth Composite Objectives (2017) (26)
Existence and uniqueness for anisotropic and crystalline mean curvature flows (2017) (26)
Convex Representation for Lower Semicontinuous Envelopes of Functionals in L1 (2001) (26)
Approximation of the anisotropic mean curvature flow (2007) (25)
Crouzeix–Raviart Approximation of the Total Variation on Simplicial Meshes (2020) (23)
On the gradient flow of a one-homogeneous functional (2011) (23)
Inverse problems in image processing and image segmentation : some mathematical and numerical aspects (2000) (22)
Existence of strong solutions to the Dirichlet problem for the Griffith energy (2018) (21)
Mean curvature flow with obstacles (2011) (19)
A remark on the anisotropic outer Minkowski content (2012) (18)
Energy release rate for non smooth cracks in planar elasticity (2014) (18)
Learning Consistent Discretizations of the Total Variation (2020) (18)
Existence and uniqueness for planar anisotropic and crystalline curvature flow (2013) (17)
A phase-field approximation of the Steiner problem in dimension two (2019) (17)
Implementation of a finite-elements approximation of the Mumford-Shah functional (2000) (15)
Approximating the total variation with finite differences or finite elements (2020) (15)
Mumford–Shah functionals on graphs and their asymptotics (2019) (14)
Korn and Poincaré-Korn inequalities for functions with a small jump set (2021) (14)
Fine properties of the subdifferential for a class of one-homogeneous functionals (2012) (14)
CONTROL OF THE WAVE EQUATION BY TIME-DEPENDENT COEFFICIENT (2002) (14)
Accelerated Alternating Descent Methods for Dykstra-Like Problems (2017) (14)
A simple phase-field approximation of the Steiner problem in dimension two (2016) (13)
Total Variation Minimization and Graph Cuts for Moving Objects Segmentation (2006) (13)
Phase-field approximation for a class of cohesive fracture energies with an activation threshold (2018) (13)
Minimizing movements and level set approaches to nonlocal variational geometric flows (2013) (12)
A uniqueness result in the theory of stereo vision : coupling shape from shading and binocular information allows unambiguous depth reconstruction (1994) (12)
The stress intensity factor for non-smooth fractures in antiplane elasticity (2011) (11)
Faster PET reconstruction with a stochastic primal-dual hybrid gradient method (2017) (11)
Minimizing movements of the Mumford and Shah energy (1997) (10)
Plane-Like Minimizers and Differentiability of the Stable Norm (2012) (10)
Crack initiation in elastic bodies (2005) (10)
Generalized crystalline evolutions as limits of flows with smooth anisotropies (2017) (9)
Classification and feature selection using a primal-dual method and projection on structured constraints (2021) (9)
A posteriori error estimates for the effective Hamiltonian of dislocation dynamics (2012) (9)
Accelerated Bregman Primal-Dual Methods Applied to Optimal Transport and Wasserstein Barycenter Problems (2022) (8)
Image restoration by constrained total variation minimization and variants (1995) (8)
Variational approximation of size-mass energies for k-dimensional currents (2017) (8)
The Hö̈lder infinite Laplacian and Hö̈lder extensions (2010) (8)
A Parametric Maximum Flow Approach for Discrete Total Variation Regularization (2012) (8)
How to make sure the iterates of FISTA converge (2014) (8)
Regularity for the Optimal Compliance Problem with Length Penalization (2015) (7)
Enhancement of Blurred and Noisy Images Based on an Original Variant of the Total Variation (2009) (7)
Anisotropic and crystalline mean curvature flow of mean-convex sets (2020) (7)
Equilibrium Configurations for Nonhomogeneous Linearly Elastic Materials with Surface Discontinuities (2020) (7)
Strong approximation in h-mass of rectifiable currents under homological constraint (2018) (7)
Representation, relaxation and convexity for variational problems in Wiener spaces (2011) (6)
A Convex Variational Model for Learning Convolutional Image Atoms from Incomplete Data (2018) (6)
Some Variations on Total Variation--Based Image Smoothing (2009) (5)
Phase-field approximation of some fracture energies of cohesive type (2018) (5)
On the weak convergence of the iterates of "FISTA" (2014) (5)
Adapted Basis for Nonlocal Reconstruction of Missing Spectrum (2014) (5)
Convergence of an algorithm for anisotropic mean curvature motion (2005) (5)
Mullins-Sekerka as the Wasserstein flow of the perimeter (2019) (5)
An extension result for generalised special functions of bounded deformation (2021) (4)
MACROSCOPIC CONTACT ANGLE AND LIQUID DROPS ON ROUGH SOLID SURFACES VIA HOMOGENIZATION AND NUMERICAL SIMULATIONS (2013) (4)
Pointwise Besov Space Smoothing of Images (2018) (4)
The Γ-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension (2020) (4)
The Gamma-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension (2013) (4)
Convergence of a Piggyback-Style Method for the Differentiation of Solutions of Standard Saddle-Point Problems (2022) (4)
Continuous optimization, an introduction (2016) (4)
Total Variation Denoising and Support Localization of the Gradient (2016) (4)
On the convergence rate of some nonlocal energies (2019) (3)
Robust supervised classification and feature selection using a primal-dual method (2019) (3)
Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities (2020) (3)
Title On Total Variation Minimization and Surface Evolution Using Parametric Maximum Flows Permalink (2009) (2)
Décomposition d'images : Application aux images RSO (2003) (2)
Anisotropic tubular neighborhoods of sets (2021) (2)
Occlusion detection in dense stereo estimation with convex optimization (2017) (2)
Stochastic Primal Dual Hybrid Gradient Algorithm with Adaptive Step-Sizes (2023) (1)
A relaxed proximal gradient descent algorithm for convergent plug-and-play with proximal denoiser (2023) (1)
“FISTA” in Banach spaces with adaptive discretisations (2021) (1)
Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field (2022) (1)
A Convex Variational Model for Learning Convolutional Image Atoms from Incomplete Data (2019) (1)
Minimizing Movements for Anisotropic and Inhomogeneous Mean Curvature Flows (2022) (1)
Existence and qualitative properties of isoperimetric sets in periodic media (2012) (1)
(1) An algorithm for total variation minimization: applications to image denoising and image decomposition problems, (2) Total variation minimization and binary energies: algorithms and applications to segmentation and interface evolution problems (2006) (1)
A Density Result in GSBDp with Applications to the Approximation of Brittle Fracture Energies (2018) (1)
A general compactness theorem in $G(S)BD$ (2022) (1)
ESAIM: Control, Optimisation and Calculus of Variations (1)
Total roto-translational variation (2019) (0)
The stress intensity factor for non-smooth fractures in antiplane elasticity (2012) (0)
Geometric partial differential equations : proceedings (2013) (0)
N A ] 9 F eb 2 01 3 Existence and uniqueness for planar anisotropic and curvature flow (2013) (0)
A posteriori error estimates for the effective Hamiltonian of dislocation dynamics (2011) (0)
Approximation of a Brittle Fracture Energy with a Constraint of Non-interpenetration (2017) (0)
Accelerated Alternating Descent Methods for Dykstra-Like Problems (2017) (0)
Mathematical Imaging and Surface Processing (2016) (0)
Crouzeix–Raviart Approximation of the Total Variation on Simplicial Meshes (2020) (0)
PIECEWISE RIGIDITY ANTONIN CHAMBOLLE (2006) (0)
Preface to the Special Issue on Optimization for Data Sciences (2019) (0)
The Saturn Ring Effect in Nematic Liquid Crystals with External Field: Effective Energy and Hysteresis (2021) (0)
On the ergodic convergence rates of a first-order primal–dual algorithm (2015) (0)
Inexact first-order primal–dual algorithms (2020) (0)
Pointwise Besov Space Smoothing of Images (2018) (0)
Variational Curvature Flows (2014) (0)
A variationnal model for equilibrium shapes of hetero-epitaxial films (2002) (0)
Guest Editorial: Variational Models, Convex Analysis and Numerical Optimization in Mathematical Imaging (2013) (0)
Guest Editorial: Variational Models, Convex Analysis and Numerical Optimization in Mathematical Imaging (2013) (0)
Learned Discretization Schemes for the Second-Order Total Generalized Variation (2023) (0)
1d approximation of measures in Wasserstein spaces (2023) (0)
Plane-Like Minimizers and Differentiability of the Stable Norm (2012) (0)
First-Order Primal-Dual Algorithms (2018) (0)
Convex Regularization and Representer Theorems (2018) (0)
Properties of minimizers of the total variation and of the solutions of the total variation flow (2014) (0)
On the Convergence of the Iterates of the “Fast Iterative Shrinkage/Thresholding Algorithm” (2015) (0)
Explicit Diffusion of Gaussian Mixture Model Based Image Priors (2023) (0)
Nonlocal Curvature Flows (2015) (0)
School on mathematical problems in image processing : 4-22 September 2000 (2000) (0)
Minimisation and Ambrosio-Tortorelli approximation of the Griffith energy with Dirichlet boundary condition (2019) (0)
Crystallinity of the Homogenized Energy Density of Periodic Lattice Systems (2021) (0)
A free discontinuity approach to optimal profiles in Stokes flows (2023) (0)
$L^1$-gradient flow of convex functionals (2023) (0)
5293 - A VARIATIONAL APPROACH TO STRESS-INDUCED INSTABILITIES IN HETEROEPITAXIAL GROWTH (2013) (0)

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What Schools Are Affiliated With Antonin Chambolle?

Antonin Chambolle's AcademicInfluence.com Rankings