Locality-constraint iterative neighbor embedding for face hallucination

Based on the assumption that low-resolution (LR) and high-resolution (HR) patch manifolds are locally isometric, the neighbor embedding based super-resolution algorithms try to preserve the local geometry of the patch manifold for the reconstructed HR patch manifold. However, due to 'one-to-many' mappings between LR and HR images, the neighborhood relationship of the LR patch manifold can't reflect the inherent data structure. In this paper, we explore the data structure by both considering the LR patch and HR patch manifolds instead of only considering one manifold (LR patch manifold). By incorporating the position prior of face and local geometry of HR patch manifold, we propose an improved neighbor embedding method to face hallucination, namely locality-constraint iterative neighbor embedding (LINE), in which we iteratively update the K-nearest neighbors (K-NN) and reconstruction weights based on the result (the hallucinated HR patch) from previous iteration, giving rise to improved performance compared with traditional neighbor embedding algorithms. Experimental results with application to face hallucination on simulated LR face images and real world ones demonstrate the effectiveness of the proposed method.