Skip to main content

Classifying Faces with Discriminant Isometric Feature Mapping

  • Conference paper
  • 1447 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3789))

Abstract

Recently proposed manifold learning algorithms, e.g. Isometric feature mapping (Isomap), Locally Linear Embedding (LLE), and Laplacian Eigenmaps, are based on minimizing the construction error for data description and visualization, but not optimal from classification viewpoint. A discriminant isometric feature mapping for face recognition is presented in this paper. In our method, the geodesic distances between data points are estimated by Floyd’s algorithm, and Kernel Fisher Discriminant is then utilized to achieve the discriminative nonlinear embedding. Prior to the estimation of geodesic distances, the neighborhood graph is constructed by incorporating class information. Experimental results on two face databases demonstrate that the proposed algorithm achieves lower error rate for face recognition.

This research was partly supported by Beijing University of Posts and Telecommunications (BUPT) Education Foundation.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Turk, M.A., Pentland, A.P.: Eigenfaces for recognition. Journal of Cognitive Neurosicence 3, 72–86 (1991)

    Google Scholar 

  2. Belhumeur, P.N., Hespanha, J.P., Kriegman, D.J.: Eigenfaces vs. fisherfaces: recognition using class specific linear projection. IEEE Transactions on Pattern Analysis and Machine Intelligence 19, 711–720 (1997)

    Article  Google Scholar 

  3. Martinez, A., Kak, A.: Pca versus lda. IEEE Transactions on Pattern Analysis and Machine Intelligence 23, 228–233 (2001)

    Article  Google Scholar 

  4. Bartlett, M.S., Movellan, J.R., Sejnowski, T.J.: Face recognition by independent component analysis. IEEE Transactions on Neural Networks 13, 1450–1464 (2002)

    Article  Google Scholar 

  5. Vasilescu, M.A.O., Terzopoulos, D.: Multilinear analysis of image ensembles: Tensorfaces. In: Proc. European Conf. on Computer Vision and Pattern Recognition, Vancouver, B.C, pp. 447–460 (2002)

    Google Scholar 

  6. Vasilescu, M.A.O., Terzopoulos, D.: Multilinear independent component analysis. In: Proc. International Conf. on Computer Vision and Pattern Recognition, Vancouver, B.C, pp. 37–40 (2005)

    Google Scholar 

  7. He, X., Yan, S., Hu, Y., Niyogi, P., Zhang, H.J.: Face recognition using laplacianfaces. IEEE Transactions on Pattern Analysis and Machine Intelligence 27, 328–340 (2005)

    Article  Google Scholar 

  8. Yang, M.H., Ahuja, N., Kriegman, D.: Face recognition using kernel eigenfaces. In: Proc. IEEE International Conf. on Image Processing, Vancouver, B.C., pp. 37–40 (2000)

    Google Scholar 

  9. Yang, M.H.: Kernel eigenfaces vs. kernel fisherfaces: face recognition using kernel methods. In: Proc. IEEE International Conf. on Automatic Face and Gesture recognition, Washington, D.C., pp. 215–220 (2002)

    Google Scholar 

  10. Liu, Q., Huang, R., Lu, H., Ma, S.: Face recognition using kernel based fisher discriminant analysis. In: Proc. International Conf. on Automatic Face and Gesture recognition, Washington, D.C., pp. 788–795 (2002)

    Google Scholar 

  11. Liu, Q., Lu, H., Ma, S.: Improving kernel fisher discriminant analysis for face recognition. IEEE Transactions on Circuits and Systems for Video Technology 14, 42–49 (2004)

    Article  Google Scholar 

  12. Seung, H.S., Lee, D.D.: The manifold ways of perception. Science 290, 2268–2269 (2000)

    Article  Google Scholar 

  13. Silva, V., Tenenbaum, J., Langford, J.: A global geometric framework for nonlinear dimensionality reduction. Science 290(22), 2219–2223 (2000)

    Google Scholar 

  14. Roweis, S., Saul, L.: Nonlinear dimensionality reduction by locally linear embedding. Science 290, 2223–2226 (2000)

    Article  Google Scholar 

  15. Belkin, M., Niyogi, P.: Laplacian eigenmaps and spectral techniques for embedding and clustering. In: Advances in Neural Information Processing Systems, Vancouver, B.C., pp. 788–795 (2001)

    Google Scholar 

  16. Yang, M.H.: Extended isomap for pattern classification. In: Proc. National Conf. on Artificial Intelligence, Edmonton, Alta, Canada, pp. 224–229 (2002)

    Google Scholar 

  17. Scholkopf, B., Smola, A., Muller, K.: Nonlinear component analysis as a kernel eigenvalue problem. Neural Computation 10, 1299–1319 (1998)

    Article  Google Scholar 

  18. Mika, S., Ratsch, G., Weston, J., Scholkopf, B., Muller, K.: Fisher discriminant analysis with kernels. In: Proc. IEEE Workshop on Neural Networks for Signal Processing, Madison, W.I., pp. 41–48 (1999)

    Google Scholar 

  19. Baudat, G., Anouar, F.: Generalized discriminant analysis using a kernel approach. Neural Computation 12(5), 2385–2404 (2000)

    Article  Google Scholar 

  20. Specht, D.F.: A general regression neural network. IEEE Transactions on Neural network 2, 568–576 (1991)

    Article  Google Scholar 

  21. Chen, L.F., Liao, H.Y., Lin, J.C., Han, C.C.: Why recognition in a statistics-based face recognition system should be based on the pure face portion: a probabilistic decision-based proof. Pattern Recognition 34, 1393–1403 (2001)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Li, R., Wang, C., Hao, H., Tu, X. (2005). Classifying Faces with Discriminant Isometric Feature Mapping. In: Gelbukh, A., de Albornoz, Á., Terashima-Marín, H. (eds) MICAI 2005: Advances in Artificial Intelligence. MICAI 2005. Lecture Notes in Computer Science(), vol 3789. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11579427_57

Download citation

  • DOI: https://doi.org/10.1007/11579427_57

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29896-0

  • Online ISBN: 978-3-540-31653-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics