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 W2-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.
Cite
@article{arxiv.2109.12880,
title = {Wasserstein Patch Prior for Image Superresolution},
author = {Johannes Hertrich and Antoine Houdard and Claudia Redenbach},
journal= {arXiv preprint arXiv:2109.12880},
year = {2022}
}