An Optimal Transformation for Discriminant and Principal Component Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Digital image processing
Pattern Classification (2nd Edition)
Pattern Classification (2nd Edition)
An Optimal Set of Discriminant Vectors
IEEE Transactions on Computers
A new digital image watermarking scheme based on Schur decomposition
Multimedia Tools and Applications
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In this paper, we propose a novel dimensionality-reduction method-Fisher discriminant with Schur decomposition (FDS). Similar to Foley-Sammon discriminant analysis (FSD), FDS is an improvement of Fisher discriminant analysis (FDA) in that it eliminates linear dependences among discriminant vectors. In comparison with FSD, FDS is very simple in theory and realization. Experimental results conducted on two benchmark face-image databases, i.e. ORL and AR, demonstrate that FDS is highly effective and efficient in reducing dimensionalities of facial image spaces. Especially when the size of a database is large, FDS can even outperform the state-of-the-art facial feature extraction methods such as the null space method.