Hyperspectral Data Processing: Algorithm Design and Analysis

31.3 Hyperspectral Imaging Techniques Expanded by BDE

In this section, three well-known HSI techniques, orthogonal subspace projection (OSP), constrained energy minimization (CEM), and RX-detector (RXD) described in Chapter 8 are considered as candidates to be expanded by BDE as MSI techniques. This is because each of these three techniques requires a different level of target knowledge. For OSP to work effectively, the complete knowledge of image endmembers including background must be provided a priori. Since such full target knowledge required by OSP is nearly impossible to obtain, specifically for image background, CEM is then developed to cope with this dilemma where only targets of interest are required to know in advance while the complete image background can be discarded. When obtaining partial knowledge of interesting targets becomes infeasible, RXD may be used to serve as this purpose for anomaly detection. In what follows, OSP, CEM, and RXD will be generalized to BEP-OSP, BEP-CEM, and BEP-RXD by including BEP as a preprocessing for BDE.

31.3.1 BEP-Based Orthogonal Subspace Projection

The BEP-based OSP introduced in this section operates in two phases. The first phase implements BEP to create additional new spectral bands from the original spectral bands. The objective of BEP is to make use of nonlinear correlation functions to produce a new set of second-order statistical bands. It is then followed by the second phase carried out by OSP. The procedure to implement the ...