Hyperspectral Image Dimensionality Reduction via Graph Embedding in Core Tensor Space

Abstract

This letter tries to effectively reduce the dimension of hyperspectral images (HSIs) by jointly considering both the spectral redundancy and spatial continuity through a multilinear transformation with graph embedding in core tensor space. The whole process is constructed in the framework of Tucker decomposition (TD). Since the distance between intraclass samples should be relatively smaller than that of the interclass samples, the reduced tensor cores should maintain this property. To achieve this goal, a graph is embedded to the core tensor space during TD. Moreover, considering the unstability of solution of the previous works, we constrain the projected matrices by orthogonality so that the results can be more stable and the extracted features can be more discriminative. We further analyze the effect of different constrains to TD methods for HSI dimensionality reduction. Finally, the experimental results show the superiority of this method to many other tensor methods.