Hyperspectral image fusion based on L-NMF

The fusion of a hyperspectral image (HSI) and a panchromatic image (PI) creates data that is beneficial to subsequent processing. Based on the traditional nonnegative matrix factorization (NMF)-based fusion method, the logarithmic hyperbolic cosine function is introduced as a spectral constraint. Under the constraint, the original HSI is decomposed into endmember and abundance matrices. The abundance matrix is then enhanced using PI, and the fused HSI is finally obtained with NMF reconstruction. In this way, the fused data have comparable spatial detail and spectral information. According to the experiments on the simulated and real data, the proposed fusion method obtains balanced fused results, and it is more suitable for the HSI fusion task.