Face Recognition using LDA Mixture Model

LDA 혼합 모형을 이용한 얼굴 인식

  • 김현철 (포항공과대학교 컴퓨터공학과) ;
  • 김대진 (포항공과대학교 컴퓨터공학과) ;
  • 방승양 (포항공과대학교 컴퓨터공학과)
  • Published : 2005.08.01

Abstract

LDA (Linear Discriminant Analysis) provides the projection that discriminates the data well, and shows a very good performance for face recognition. However, since LDA provides only one transformation matrix over whole data, it is not sufficient to discriminate the complex data consisting of many classes like honan faces. To overcome this weakness, we propose a new face recognition method, called LDA mixture model, that the set of alf classes are partitioned into several clusters and we get a transformation matrix for each cluster. This detailed representation will improve the classification performance greatly. In the simulation of face recognition, LDA mixture model outperforms PCA, LDA, and PCA mixture model in terms of classification performance.

LDA는 데이타를 잘 구분하게 하는 변환을 제공하고, 얼굴 인식에서 우수한 성능를 보였다. 그러나, LDA는 전체 데이타에 대해 단 하나의 변환 행렬만을 주므로 사람 얼굴과 같은 많은 클래스로 구성되어 있는 복잡한 데이타를 구분하기에 충분하지 않다. 이런 약점을 극복하기 위해 우리는 LDA 혼합 모형이라는 새로운 얼굴 인식 방법을 제안한다. LDA 혼합 모형에서는 모든 클래스가 여러 개의 군집으로 분할되고 각 군집에 대해서 하나의 변환 행렬을 얻는다. 이렇게 더 세세히 표현하는 방법은 분류 성능을 크게 향상시킬 것이다 얼굴 인식 실험 결과, LDA 혼합 모형은 PCA, LDA, PCA 혼합 모형보다 더 우수한 분류 성능을 보여주었다.

Keywords

References

  1. R. Chellappa, C.Wilson, and S.Sirohey, 'Human and machine recognition of faces: A survey.'Proc. IEEE, Vo1. 83, pp. 705-740, May 1995 https://doi.org/10.1109/5.381842
  2. W. Zhao, R. Chellappa, P.J. Phillips and A. Rosenfeld, 'Face Recognition: A Literature Survery,' UMD CfAR Technical Report CAR-TR-948, 2000
  3. R. Brunelli and T. Poggio, 'Face Recognition: Features versus Templates,' IEEE Trans. PAMI. , Vol. 15, pp.1042-1052, 1993 https://doi.org/10.1109/34.254061
  4. M. Turk and A. Pentland, 'Eigenfaces for Recognition,' J. Cognitive Neuroscience, 3(1), 1991
  5. Belhumeur P. N., Hespanha J. P., Kriegmaqn D. J., 'Eigenfaces vs. Fisherfaces : recognition using class specific Linear Projection,' IEEE Trans. on Pattern Analysis and Machine Intell., Vol.19, No.7, pp.711-720, 1997 https://doi.org/10.1109/34.598228
  6. K. Etemad, R. Chellappa, 'Discriminant analysis for recognition of human face images,' Journal of the Optical Society of America A, 14(8), 1724-1733, 1997 https://doi.org/10.1364/JOSAA.14.001724
  7. M.S. Bartlett, J.R. Movellan and T.J. Sejnowski, 'Face recognition by independent component analysis,' IEEE Transactions on Neural Networks 13(6), 2002 https://doi.org/10.1109/TNN.2002.804287
  8. J. Fortuna and D. Capson, 'ICA Filters For Lighting Invariant Face Recognition,' Proceedings of the 17th International Conference on Pattern Recognition, 2004 https://doi.org/10.1109/ICPR.2004.1334120
  9. R. Duda, P. Hart, D. Stork, Pattern Classification, Wiley, New York, 2001
  10. M. Tipping, C. Bishop, 'Mixtures of probabilistic principal component analyzers,' Neural Computation, 11, 443-482, 1999 https://doi.org/10.1162/089976699300016728
  11. P. Dempster, N. Laird, D. Rubin, 'Maximum likelihood from incomplete data via the EM algorithm,' Journal of the Royal Statistical Society: series-B, 39(4), 1-38, 1977
  12. L. Wang and T. K. Tan, 'Experimental results of face description based on the 2nd-order eigenface method,' ISO/MPEG m6001, Geneva, May, 2000
  13. A. Hyvarinen and E. Oja, 'A Fast Fixed Point Algorithms for Independent Component Analysis,' Neural Computation, Vol.9, No.7, pp.1483-1492, Oct., 1997 https://doi.org/10.1162/neco.1997.9.7.1483