An Optimal Transformation for Discriminant and Principal Component Analysis

IEEE Transactions on Pattern Analysis and Machine Intelligence

Volumn 10, Issue 6, 1988, Pages 978-983

  Duchene, J ^a   Leclercq, S ^a  

^a UNIVERSITÉ DE TECHNOLOGIE DE COMPIÈGNE   (France)

Author keywords

Discriminant analysis; eigenvectors; feature extraction; multivariate data; pattern recognition; principal component analysis

Indexed keywords

MATHEMATICAL TECHNIQUES--MATRIX ALGEBRA; MATHEMATICAL TRANSFORMATIONS;

DISCRIMINANT ANALYSIS; MULTIVARIATE DATA SETS; PATTERN CLASSIFICATION; PRINCIPAL-COMPONENT ANALYSIS;

PATTERN RECOGNITION;

EID: 0024104032     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/34.9121     Document Type: Article

References (15)

1. H. Sp-th, Cluster Analysis Algorithms. New York: Wiley, 1980.
2. J. Hartigan, Clustering Algorithms. New York: Wiley, 1975.
3. G. H. Ball and D. J. Hall, “A clustering technique for summarizing multivariate data”, Behavioral Sci., vol. 12, pp. 153–155, 1967.
4. K. Fukunaga and W. L. G. Koontz, “Application of the Karhunen Loeve expansion to feature selection and ordering”, IEEE Trans. Comput., vol. C-19, no. 4, pp. 311–318, 1970.
5. J. M. Romeder, Methodes et Programmes d'Analyse Discriminante. Paris: Dunod, 1973.
6. C. R. Rao, “The use and interpretation of principal component analysis in applied research”, Sankhya Series A, vol. 26, pp. 329–357, 1964.
7. T. Okada and S. Tomita, “An optimal orthonormal system for discriminant analysis”, Pattern Recognition, vol. 18, no. 2, pp. 139–144, 1985.
8. R. A. Fisher, “The use of multiple measurements in taxonomic problems”, Ann. Eugen., vol. 7, pp. 179–188, 1936.
9. Y. T. Chien, Interactive Pattern Recognition. New York: Dekker, 1978.
10. J. W. Sammon, “An optimal discriminant plane”, IEEE Trans. Comput., vol. C-19, pp. 826–829, 1970.
11. D. H. Foley and J. W. Sammon, “An optimal set of discriminant vectors”, IEEE Trans. Comput., vol. C-24, pp. 281–289, 1975.
12. J. Duchene, “A significant plane for two-class discrimination problems”, IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-8, pp. 557–559, 1986.
13. T. W. Anderson and X. X. Bahadur, “Classification into two multivariate normal distributions with different covariance matrices”, Ann. Math. Stat., vol. 33, pp. 420–431, 1962.
14. K. V. Mardia, Multivariate Analysis. London: Academic, 1979.
15. G. B. Swas, A. K. Jain, and R. C. Dubes, “Evaluation of projection algorithms”, IEEE Trans. Pattern Anal. Machine Intell, vol. PAMI-3, pp. 701–708, 1981.