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Convolutional Wasserstein Distances: Efficient Optimal Transportation on Geometric DomainsJustin Solomon, Fernando de Goes, Gabriel Peyre, Marco Cuturi, Adrian Butscher, Andy Nguyen, Tao Du, Leonidas GuibasAugust 2015This paper introduces a new class of algorithms for optimization problems involving optimal transportation over geometric domains. Our main contribution is to show that optimal transportation can be made tractable over large domains used in graphics, such as images and triangle meshes, improving performance by orders of magnitude compared to ... more | |

Smoothed Local Histogram FiltersMichael Kass, Justin SolomonMay 2010Local image histograms contain a great deal of information useful for applications in computer graphics, computer vision and computational photography. Making use of that information has been challenging because of the expense of computing histogram properties over large neighborhoods. Efficient algorithms exist for some specific computations like the bilateral filter, but not others. ... more To appear in the Proceedings of SIGGRAPH 2010 Available as Pixar Technical Memo #10-02 |