Hyperspectral Super-resolution Accounting for Spectral Variability: Coupled Tensor LL1-Based Recovery and Blind Unmixing of the Unknown Super-resolution Image

Abstract

. In this paper, we propose to jointly solve the hyperspectral super-resolution problem and the unmix-6 ing problem of the underlying super-resolution image using a coupled LL1 block-tensor decomposi-7 tion. We consider a spectral variability phenomenon occurring between the observed low-resolution 8 images. Exact recovery conditions for the image and mixing factors are provided. We propose two 9 algorithms: an unconstrained one and another one subject to non-negativity constraints, to solve 10 the problems at hand. We showcase performance of the proposed approach on synthetic and real 11 images.