  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.
