Wasserstein Patch Prior for Image Superresolution [article]

Johannes Hertrich, Antoine Houdard, Claudia Redenbach
<span title="2021-12-17">2021</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
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
more &raquo; ... distribution of some reference image at different scales. We demonstrate the performance of the proposed regularizer by two- and three-dimensional numerical examples.
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2109.12880v2">arXiv:2109.12880v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3ccrd36pqzabppkveahukkb3te">fatcat:3ccrd36pqzabppkveahukkb3te</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20211229091209/https://arxiv.org/pdf/2109.12880v2.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/e9/83/e983926132a6026bb13aadd1e140b1537c1d7d52.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2109.12880v2" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>