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Null Foley–Sammon transform

2006; Elsevier BV; Volume: 39; Issue: 11 Linguagem: Inglês

10.1016/j.patcog.2006.05.009

1873-5142

Youguang Guo, Lide Wu, Hong Lu, Zhe Feng, Xiangyang Xue,

Image Retrieval and Classification Techniques

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.