Hyperspectral Data Processing: Algorithm Design and Analysis

13.4 Relationship Between FVC-FLSMA and OSP

If we replace in (13.12) with defined in (2.86), then the resulting weight vector becomes the least squares OSP (LSOSP) in Tu et al. (1997) and Chang (2003a):

(13.23)

With this interpretation, FVC-FLSMA can be considered as a discriminant analysis version of OSP. Additionally, is also idempotent. We can define a linear transformation by and where r is an image pixel vector. The resulting image with pixel vectors described by is called the -whitened hyperspectral image. Let be the -whitened lth class mean defined by . Equation (13.23) is reduced ...