Single Image Super Resolution (SISR) has significantly improved with Convolutional Neural Networks (CNNs) and Generative Adversarial Networks (GANs), often achieving order of magnitude better pixelwise accuracies (distortions) and state-of-the-art perceptual accuracy. Due to the stochastic nature of GAN reconstruction and the ill-posed nature of the problem, perceptual accuracy tends to correlate inversely with pixelwise accuracy which is especially detrimental to SISR, where preservation of original content is an objective. GAN stochastics can be guided by intermediate loss functions such as the VGG featurewise loss, but these features are typically derived from biased pre-trained networks. Similarly, measurements of perceptual quality such as the human Mean Opinion Score (MOS) and no-reference measures have issues with pre-trained bias. The spatial relationships between pixel values can be measured without bias using the Grey Level Co-occurence Matrix (GLCM), which was found to match the cardinality and comparative value of the MOS while reducing subjectivity and automating the analytical process. In this work, the GLCM is also directly used as a loss function to guide the generation of perceptually accurate images based on spatial collocation of pixel values. We compare GLCM based loss against scenarios where (1) no intermediate guiding loss function, and (2) the VGG feature function are used. Experimental validation is carried on X-ray images of rock samples, characterised by significant number of high frequency texture features. We find GLCM-based loss to result in images with higher pixelwise accuracy and better perceptual scores.
The paper considers the problem of generating a high-resolution image from a low-resolution one. The paper introduces the Grey Level Co-occurrence Matrix Method (GLCM) for evaluating the performance of super-resolution techniques and as an auxiliary loss function for training neural networks to perform well for super-resolution. The GLCM was originally introduced in a 1973 paper and has been used in a few papers in the computer vision community. The paper trains and validates a super-resolution GAN (SRGAN)  and a super-resolution CNN (SRCNN) on the DeepRock-SR dataset. Specifically, for the SRGAN, the paper uses the EDSRGAN network trained on loss function particular to the paper: The loss function consists of the addition of the L1 pixel-wise loss plus the VGG19 perceptual objective plus the proposed GLCM loss.
The paper finds that SRCNN outperforms SRGAN in terms of the PSNR metric, but SRGAN performs better in terms of the spatial texture similarity.  
Next, the paper shows that when trained with the mean L1-GMCM loss function, SRGAN performs best.
In summary, the paper proposes to use the GMCM loss for training and evaluation of the super-resolution methods. However, this metric is well known in the computer-vision community along with many others. Also, the idea to use this metric in training is only evaluated for one network (albeit a very sensible one) and only for one dataset (the DeepRock one). Since the novelty provided by the paper is small, I cannot recommend the acceptance of the paper.