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.

翻译：在本文中,我们先推出瓦西斯坦语补丁,然后再对二维和三维图像进行超分解。在这里,我们假设我们已经(除低分辨观测外)给出了一个参考图像,其分布与重建的地面真相相似。例如,在使用质地图像或材料数据时,这一假设就得到了实现。然后,拟议的正规化器对重建补丁分布到不同尺度的某些参考图像的补分分布的距离处以2美元至2美元不等的惩罚。我们用二维和三维数字示例展示了拟议正统化器的性能。