Transport

Optimal Transport will transport you far far away long long time ago !

A journey into semi-discrete optimal transport land

Optimal Transport is a mathematical theory that studies ways of deforming shape A (here an "armadillo") into shape B (here a sphere) while minimizing some definition of "effort".

In this tutorial, you will learn:

• what is optimal transport from a physics, mathematics and computer science perspective
• what is semi-discrete optimal transport
• how to program your own semi-discrete optimal transport at home
• how to simulate incompressible fluids with optimal transport

Overview

• Introduction
• How to program your own semi-discrete OT
• Fluid simulation

References and links

• Twitter thread
• Physics Magazine
• Physical Review Letters
• Recorded Course on OT at Symposium on Geometry Processing 2018
• Slides of the course
• Notions of Optimal Transport theory and how to implement them