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• W2019106840 abstract "This article details two approaches to compute barycenters of measures using 1-D Wasserstein distances along radial projections of the input measures. The first method makes use of the Radon transform of the measures, and the second is the solution of a convex optimization problem over the space of measures. We show several properties of these barycenters and explain their relationship. We show numerical approximation schemes based on a discrete Radon transform and on the resolution of a non-convex optimization problem. We explore the respective merits and drawbacks of each approach on applications to two image processing problems: color transfer and texture mixing." @default.
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• W2019106840 date "2014-04-08" @default.
• W2019106840 modified "2023-10-16" @default.
• W2019106840 title "Sliced and Radon Wasserstein Barycenters of Measures" @default.
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• W2019106840 doi "https://doi.org/10.1007/s10851-014-0506-3" @default.
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