Previously, we proposed a learning-based superresolution method using the TV regularization method, which significantly reduced image processing time by removing database redundancy. However, there was a problem when noise appeared in reconstructed images because of an excessive reduction in database redundancy.In this paper, we propose a new learning-based superresolution method, where noise is removed by utilizing Principal Components Analysis (PCA). The obtained algorithms significantly reduce the complexity and maintain a comparable image quality. This facilitates the adoption of learning-based super-resolution by motion pictures, e.g., internet and HDTV movies.