Single MR-image super-resolution based on convolutional sparse representation

In this paper, a method is proposed to achieve a high-resolution image from a low-resolution image. Because of the ill-posedness of the super-resolution problem, sparsity constraint is used as a prior, in this work. On the one hand, we use convolutional sparse representation on the whole image different from the patch-based method. On the other hand, we apply fewer filters even in smaller sizes for reconstructing the high-resolution image. Therefore, despite the reduced processing time, the reconstructed image quality is improved compared to the reference methods. In this work, the training images are different in terms of content from the testing images. Experimental results on a variety of MR images indicate improvement in the quality of the high-resolution MR image, in terms of qualitative and quantitative criteria.