Null Foley-Sammon transform

摘要

In this paper, an important conclusion for linear discriminant analysis is proved: in the case of the small sample size, (number-of-classes-1) null projection directions (NPDs) do exist, on which, the within-class distance equals zero and the between-class distance is positive. The Null Foley-Sammon Transform (NFST), which is constituted by NPDs, is also proposed. Its effectiveness is evidenced by experiments on face recognition. (c) 2006 Pattern Recognition Society. Published by Elsevier Ltd. All rights reserved.