Scalable Multi-Class Sampling via Filtered Sliced Optimal Transport
Corentin Salaün, Iliyan Georgiev, Hans‐Peter Seidel, Gurprit Singh · ACM Transactions on Graphics · 2022
We propose a multi-class point optimization formulation based on continuous Wasserstein barycenters. Our formulation is designed to handle hundreds to thousands of optimization objectives and comes with a practical optimization scheme. We demonstrate the effectiveness of our framework on various sampling applications like stippling, object placement, and Monte-Carlo integration. We a derive multi-class error bound for perceptual rendering error which can be minimized using our optimization. We provide source code at https://github.com/iribis/filtered-sliced-optimal-transport.