Neighbor embedding algorithm has been widely used in single-image super-resolution (SR) reconstruction, which makes the assumption that neighbor patches embedded are contained in a single manifold. However, this is not true for SR because of "one-to-many" mappings between low-resolution (LR) and high-resolution (HR) patches. To overcome the problem, we believe that textures may be contained in multiple manifolds. Under this assumption, by considering that the middle-frequency information of LR images has greater correlation with high resolution image than low frequency. We propose an improved ...