Research on Image Dimension Reduction Method Based on Non-negative Matrix Factorization and Discrete Cosine Transform

According to the denoising technique based on the non -negative matrix factorization (NMF) and Redundancy technique based on discrete cosine transform (DCT), a fusion method is proposed, namely, NMF-DCT dimension reduction method. This method is applied to the dimension reduction of ORL face images. The image reconstruction degree and compression ratio are used to be as evaluation criterion. The experimental results show that the NMF-DCT method is more effective than only use the NMF or only use the DCT. The NMF-DCT method has a good effect on the face image compression.