This article presents a new class of distances between arbitrary nonnegative Radon
measures inspired by optimal transport. These distances are defined by two equivalent …

This paper defines a new transport metric over the space of nonnegative measures. This
metric interpolates between the quadratic Wasserstein and the Fisher–Rao metrics and …

This chapter describes techniques for the numerical resolution of optimal transport
problems. We will consider several discretizations of these problems, and we will put a …

Optimal Transport is a well developed mathematical theory that defines robust metrics
between probability distributions. The computation of optimal displacements between …

We define a distance metric between partitions of a graph using machinery from optimal
transport. Our metric is built from a linear assignment problem that matches partition …

As a generalization of the optimal mass transport (OMT) approach of Benamou and
Brenier's, the regularized optimal mass transport (rOMT) formulates a transport problem from …

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 transport …

A generalized unbalanced optimal transport distance WBΛ on matrix-valued measures M (Ω,
Sn+) was defined in [44]a la Benamou-Brenier, which extends the Kantorovich-Bures and …

In this paper we propose and study a novel optimal transport based regularization of linear
dynamic inverse problems. The considered inverse problems aim at recovering a measure …

We present a method to simulate the flow past bioinspired swimmers starting from pictures of
an actual fish. The overall approach requires i) a skeleton graph generation to get a level-set …