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Wasserstein Patch Prior for Image Superresolution

2021-09-27 09:04:07
Johannes Hertrich, Antoine Houdard, Claudia Redenbach
arXiv_CV
     
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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URL

https://arxiv.org/abs/2109.12880

PDF

https://arxiv.org/pdf/2109.12880.pdf

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