190 citations · 432 across the 36 of their papers we have counts for
5 papers · 1 filter
Characterizing the maximum parameter of the total-variation denoising through the pseudo-inverse of the divergence
Charles-Alban Deledalle, Nicolas Papadakis, Joseph Salmon +1
We focus on the maximum regularization parameter for anisotropic total-variation denoising. It corresponds to the minimum value of the regularization parameter above which the solu…
Convex Histogram-Based Joint Image Segmentation with Regularized Optimal Transport Cost
Nicolas Papadakis, Julien Rabin
We investigate in this work a versatile convex framework for multiple image segmentation, relying on the regularized optimal mass transport theory. In this setting, several transpo…
Regularized Optimal Transport and the Rot Mover's Distance
Arnaud Dessein, Nicolas Papadakis, Jean-Luc Rouas
This paper presents a unified framework for smooth convex regularization of discrete optimal transport problems. In this context, the regularized optimal transport turns out to be…
CLEAR: Covariant LEAst-square Re-fitting with applications to image restoration
C-A. Deledalle, N. Papadakis, J. Salmon +1
In this paper, we propose a new framework to remove parts of the systematic errors affecting popular restoration algorithms, with a special focus for image processing tasks. Genera…
Penalized Barycenters in the Wasserstein Space
Jérémie Bigot, Elsa Cazelles, Nicolas Papadakis
In this paper, a regularization of Wasserstein barycenters for random measures supported on is introduced via convex penalization. The existence and uniqueness of…