Thesis of Matthieu Heitz

Eulerian methods for inverse problems using optimal transport


This project will develop numerical methods for solving important problems in computer graphics and vision via the optimal mass transport theory. These problems relate to histograms, and can be advantageously written and solved via regressions with loss functions involving optimal transport. These problems include data fitting, supervised learning or statistical inference.

Advisor: David Coeurjolly
Coadvisor: Nicolas Bonneel