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Optimal Transport Between GMM for Texture Synthesis

Authors
  • Leclaire, Arthur
  • Delon, Julie
  • Desolneux, Agnès
Publication Date
Mar 18, 2022
Source
HAL
Keywords
Language
English
License
Unknown
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Abstract

Using optimal transport in image processing tasks has become very popular. However, it still faces difficult computational issues when dealing with high dimensional distributions. We propose here to use the recently introduced GMM-OT formulation, which consists in restricting the optimal transport problem to the set of Gaussian mixture models. As a proof of concept, we use it to revisit the texture model Texto based on optimal transport between distributions of image patches. Using GMM-OT in this texture model allows to deal with larger patches, hence providing results with better geometric details. This new model allows for synthesis, mixing, and style transfer.

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