Rapid and brief communication: Null Foley-Sammon transform

  • Authors:

  • Yue-Fei Guo;Lide Wu;Hong Lu;Zhe Feng;Xiangyang Xue

  • Affiliations:

  • Media Computing & Web Intelligence Laboratory, Department of Computer Science and Engineering, Fudan University, Shanghai, 200433, PR China;Media Computing & Web Intelligence Laboratory, Department of Computer Science and Engineering, Fudan University, Shanghai, 200433, PR China;Media Computing & Web Intelligence Laboratory, Department of Computer Science and Engineering, Fudan University, Shanghai, 200433, PR China;Media Computing & Web Intelligence Laboratory, Department of Computer Science and Engineering, Fudan University, Shanghai, 200433, PR China;Media Computing & Web Intelligence Laboratory, Department of Computer Science and Engineering, Fudan University, Shanghai, 200433, PR China

  • Venue:
  • Pattern Recognition
  • Year:
  • 2006

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Abstract

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.