Scalable multi-class sampling via filtered sliced optimal transport
SIGGRAPH Asia 2022 (journal)
Abstract
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.
Resources
- paper
- supplemental document
- supplemental results: interactive image comparisons
- fast-forward video
- summary video
- talk video
- code: reference implementation
Videos
Fast-forward video
Summary video
Talk video
BibTeX reference
@article{Salaun:2022:ScalableMultiClassSampling,
author = {Corentin Sala\"un and Iliyan Georgiev and Hans-Peter Seidel and Gurprit Singh},
title = {Scalable multi-class sampling via filtered sliced optimal transport},
journal = {ACM Transactions on Graphics (Proceedings of SIGGRAPH Asia)},
year = {2022},
volume = {41},
number = {6},
doi = {10.1145/3550454.3555484}
}