4 papers
A convergent Plug-and-Play Majorization-Minimization algorithm for Poisson inverse problems
Thibaut Modrzyk, Ane Etxebeste, Ãlie Bretin +1
In this paper, we present a novel variational plug-and-play algorithm for Poisson inverse problems. Our approach minimizes an explicit functional which is the sum of a Kullback-Lei…
A Cahn--Hilliard--Willmore phase field model for non-oriented interfaces
Elie Bretin, Antonin Chambolle, Simon Masnou
We investigate a new phase field model for representing non-oriented interfaces, approximating their area and simulating their area-minimizing flow. Our contribution is related to…
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach
Matthieu Bonnivard, Elie Bretin, Antoine Lemenant +1
This work focuses on a phase field approximation of Plateau's problem. Inspired by Reifenberg's point of view, we introduce a model that combines the Ambrosio-Torterelli energy wit…
Turing patterns on polymerized membranes: a coarse-grained lattice modelling with internal degree of freedom for polymer direction
F. Kato, H. Koibuchi, E. Bretin +6
We numerically study Turing patterns (TPs) on two-dimensional surfaces with a square boundary in using a surface model for polymerized membranes. The variables used to…