Collaborative Representation Cascade for Single-Image Super-Resolution

Most recent learning-based single-image super-resolution methods first interpolate the low-resolution (LR) input, from which overlapped LR features are then extracted to reconstruct their high-resolution (HR) counterparts and the final HR image. However, most of them neglect to take advantage of the intermediate recovered HR image to enhance image quality further. We conduct principal component analysis (PCA) to reduce LR feature dimension. Then we find that the number of principal components after conducting PCA in the LR feature space from the reconstructed images is larger than that from the interpolated images by using bicubic interpolation. Based on this observation, we present an unsophisticated yet effective framework named collaborative representation cascade (CRC) that learns multilayer mapping models between LR and HR feature pairs. In particular, we extract the features from the intermediate recovered image to upscale and enhance LR input progressively. In the learning phase, for each cascade layer, we use the intermediate recovered results and their original HR counterparts to learn single-layer mapping model. Then, we use this single-layer mapping model to super-resolve the original LR inputs. And the intermediate HR outputs are regarded as training inputs for the next cascade layer, until we obtain multilayer mapping models. In the reconstruction phase, we extract multiple sets of LR features from the LR image and intermediate recovered. Then, in each cascade layer, mapping model is utilized to pursue HR image. Our experiments on several commonly used image SR testing datasets show that our proposed CRC method achieves state-of-the-art image SR results, and CRC can also be served as a general image enhancement framework.