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arXiv · 2109.12880

Wasserstein Patch Prior for Image Superresolution

Johannes Hertrich·Antoine Houdard·Claudia Redenbach
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Abstract

In this paper, we introduce a Wasserstein patch prior for superresolution of two- and three-dimensional images. Here, we assume that we have given (additionally to the low resolution observation) a reference image which has a similar patch distribution as the ground truth of the reconstruction. This assumption is e.g. fulfilled when working with texture images or material data. Then, the proposed regularizer penalizes the $W_2$-distance of the patch distribution of the reconstruction to the patch distribution of some reference image at different scales. We demonstrate the performance of the proposed regularizer by two- and three-dimensional numerical examples.

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Johannes Hertrich, Antoine Houdard, Claudia Redenbach. 2021-12-17. Wasserstein Patch Prior for Image Superresolution. https://doi.org/10.1109/tci.2022.3199600

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