Orthogonal Discriminant Analysis for Interactive Pattern Analysis

Yoshihiko HAMAMOTO  Taiho KANAOKA  Shingo TOMITA  

IEICE TRANSACTIONS on Information and Systems   Vol.E75-D   No.4   pp.602-605
Publication Date: 1992/07/25
Online ISSN: 
Print ISSN: 0916-8532
Type of Manuscript: LETTER
Category: Image Processing, Computer Graphics and Pattern Recognition
pattern recognition,  interactive pattern analysis,  dimensionality reduction,  feature extraction,  discriminant analysis,  Karhunen-Loeve expansion,  

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In general, a two-dimensional display is defined by two orthogonal unit vectors. In developing the display, discriminant analysis has a shortcoming that the extracted axes are not orthogonal in general. First, in order to overcome the shortcoming, we propose discriminant analysis which provides an orthonormal system in the transformed space. The transformation preserves the discriminatory ability in terms of the Fisher criterion. Second, we present a necessary and sufficient condition that discriminant analysis in the original space provides an orthonormal system. Finally, we investigate the relationship between orthogonal discriminant analysis and the Karhunen-Loeve expansion in the original space.