Hyperspectral Image Dimension Reduction Using Weight Modified Tensor-Patch-Based Methods

Abstract

Dimension reduction (DR) addresses the problem known as the curse of dimensionality in myriad hyperspectral imagery applications. Although the spatial pattern may assist in the distinction between different land covers that have close spectral signatures, it is often neglected by the current DR methods. In order to overcome this defect, two solutions: patch-based and tensor-patch-based, are studied in this article for a group of graph-based DR methods. To date, only a few attempts have been made in the patch- and tensor-patch-based variations for the graph-based DR methods. This article proposed two weight modified tensor-patch-based methods, namely weight modified tensor locality preserving projections and weight modified tensor neighborhood preserving embedding. Specifically, as graph-based DR methods heavily rely on the construction of adjacency graphs, this paper proposes a new use of the weighted region covariance matrix in the calculation of adjacency graphs. We found that the two proposed tensor-patch methods outperform the up-to-date methods.

Keywords

• Dimension reduction (DR)
• hyperspectral imagery
• patch
• spectral-spatial
• tensor