Null Foley–Sammon transform

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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.

论文关键词：Linear discriminant analysis,Null Foley–Sammon transform,Feature extraction,Fisher criterion,Foley–Sammon transform

论文评审过程：Received 5 December 2005, Accepted 11 May 2006, Available online 13 July 2006.

论文官网地址：https://doi.org/10.1016/j.patcog.2006.05.009