论文标题

可扩展的多级抽样通过过滤切片的最佳传输

Scalable multi-class sampling via filtered sliced optimal transport

论文作者

Salaün, Corentin, Georgiev, Iliyan, Seidel, Hans-Peter, Singh, Gurprit

论文摘要

我们提出了基于连续的Wasserstein Barycenters的多类优化公式。我们的配方旨在处理数百到数千个优化目标,并带有实用的优化方案。我们证明了框架对各种采样应用的有效性,例如点画,对象放置和蒙特卡洛集成。我们是一个导出的多级误差,用于感知渲染误差,可以使用我们的优化最小化。我们在https://github.com/iribis/filtered-sliced-optimal-transport上提供源代码。

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.

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