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Optimal transport between GMM for multiscale texture synthesis


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 improve 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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Dates and versions

hal-03613622 , version 1 (18-03-2022)
hal-03613622 , version 2 (01-06-2023)



Julie Delon, Agnès Desolneux, Laurent Facq, Arthur Leclaire. Optimal transport between GMM for multiscale texture synthesis. International Conference on Scale Space and Variational Methods in Computer Vision (SSVM), Luca Calatroni; Marco Donatelli; Serena Morigi; Marco Prato; Giuseppe Rodriguez; Matteo Santacesaria, May 2023, Cagliari, Italy. ⟨10.1007/978-3-031-31975-4_48⟩. ⟨hal-03613622v2⟩
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