Facial Image Hallucination Through Coupled-Layer Neighbor Embedding

As the facial image captured by a low-cost camera is typically very low resolution (LR), blurring, and noisy, traditional neighbor-embedding-based facial image hallucination methods from one single manifold (i.e., the LR image manifold) fail to reliably estimate the intention geometrical structure, consequently leading to a bias to the image reconstruction result. In this paper, we introduce the notion of neighbor embedding (NE) from the LR and the high-resolution (HR) image manifolds simultaneously and propose a novel NE model, termed the coupled-layer NE (CLNE), for facial image hallucination. CLNE differs substantially from other NE models in that it has two layers: the LR and the HR layers. The LR layer in this model is the local geometrical structure of the LR patch manifold, which is characterized by the reconstruction weights of the LR patches; the HR layer is the intrinsic geometry that can geometrically constrain the reconstruction weights. With this coupled-constraint paradigm between the adaptation of the LR layer and the HR one, CLNE can achieve a more robust NE through iteratively updating the LR patch reconstruction weights and the estimated HR patch. The experimental results in simulation and real conditions confirm that the proposed method outperforms the related state-of-the-art methods in both quantitative and visual comparisons.