# Entropic Regularisation of Robust Optimal Transport

## TL;DR

This paper reinterprets a recent colour transfer method as a robust optimal transport framework with entropy regularisation, providing a new perspective on the approach.

## Contribution

It introduces a novel robust optimal transport formulation with entropy regularisation over marginals, unifying and extending previous colour transfer methods.

## Key findings

- Reinterprets a colour transfer method within a robust optimal transport framework
- Demonstrates the effectiveness of entropy regularisation in robust optimal transport
- Provides theoretical insights connecting colour transfer and optimal transport

## Abstract

Grogan et al [11,12] have recently proposed a solution to colour transfer by minimising the Euclidean distance L2 between two probability density functions capturing the colour distributions of two images (palette and target). It was shown to be very competitive to alternative solutions based on Optimal Transport for colour transfer. We show that in fact Grogan et al's formulation can also be understood as a new robust Optimal Transport based framework with entropy regularisation over marginals.