From local representation to global face hallucination: A novel super-resolution method by nonnegative feature transformation

Most of global face hallucination methods treat the face as a whole, ignoring the fact that the face is composed by part-based organs. Therefore, the results obtained by these methods always lack of detailed information. Nonnegative matrix factorization (NMF) based face hallucination method is properly used to enhance the detailed information. Usually, NMF basis is only learnt from high-resolution (HR) samples, leading to over-smooth output and lack of high frequency details. In order to solve this problem, we propose a simple but novel face hallucination method using nonnegative feature transformation by two-step framework. In particular, we learn the NMF basis from low-resolution (LR) and HR samples separately, and then transform the local representation feature of input into the global representation subspaces, keeping the weights into the HR samples space for output. Furthermore, the maximum a posteriori (MAP) method is used to estimate a better output. Experiments show that the hallucinated face of the proposed method is not only more high-frequency details, but also has better performance than many state-of-art algorithms.