Hyperspectral Data Processing: Algorithm Design and Analysis

12.2 Three Perspectives to Derive OSP

Suppose that L is the number of spectral bands and r is an L-dimensional image pixel vector. Assume that there are p targets, and denote their corresponding signatures, which are generally referred to as digital numbers (DN). A linear mixture of r models the spectral signature of r as a linear combination of with appropriate abundance fractions specified by . More precisely, r is an column vector and M is an target spectral signature matrix, denoted by , where m_j is an column vector represented by the spectral signature of the jth target t_j resident in the pixel vector r. Let be a abundance column vector associated with r, where α_j denotes the abundance ...