Orthogonal Discriminant Analysis for Interactive Pattern Analysis
Summary :
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.
- Publication
- IEICE TRANSACTIONS on Information Vol.E75-D No.4 pp.602-605
- Publication Date
- 1992/07/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- LETTER
- Category
- Image Processing, Computer Graphics and Pattern Recognition
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Yoshihiko HAMAMOTO, Taiho KANAOKA, Shingo TOMITA, "Orthogonal Discriminant Analysis for Interactive Pattern Analysis" in IEICE TRANSACTIONS on Information,
vol. E75-D, no. 4, pp. 602-605, July 1992, doi: .
Abstract: 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.
URL: https://global.ieice.org/en_transactions/information/10.1587/e75-d_4_602/_p
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@ARTICLE{e75-d_4_602,
author={Yoshihiko HAMAMOTO, Taiho KANAOKA, Shingo TOMITA, },
journal={IEICE TRANSACTIONS on Information},
title={Orthogonal Discriminant Analysis for Interactive Pattern Analysis},
year={1992},
volume={E75-D},
number={4},
pages={602-605},
abstract={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.},
keywords={},
doi={},
ISSN={},
month={July},}
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TY - JOUR
TI - Orthogonal Discriminant Analysis for Interactive Pattern Analysis
T2 - IEICE TRANSACTIONS on Information
SP - 602
EP - 605
AU - Yoshihiko HAMAMOTO
AU - Taiho KANAOKA
AU - Shingo TOMITA
PY - 1992
DO -
JO - IEICE TRANSACTIONS on Information
SN -
VL - E75-D
IS - 4
JA - IEICE TRANSACTIONS on Information
Y1 - July 1992
AB - 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.
ER -
English
