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This œuvre, Non-convex relaxation of optimal transport for color transfer between images, by Julien Rabin is licensed under a Creative Commons Attribution-ShareAlike 4.0 International license.

Non-convex relaxation of optimal transport for color transfer between images


Non-convex relaxation of optimal transport for color transfer between images
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Optimal transport (OT) is a major statistical tool to measure similarity between features or to match and average features. However, OT requires some relaxation and regularization to be robust to outliers. With relaxed methods, as one feature can be matched to several ones, important interpolations between different features arise. This is not an issue for comparison purposes, but it involves strong and unwanted smoothing for transfer applications. We thus introduce a new regularized method based on a non-convex formulation that minimizes transport dispersion by enforcing the one-to-one matching of features. The interest of the approach is demonstrated for color transfer purposes.
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Non-convex relaxation of optimal transport for color transfer between images
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