Skip to main content

The Solution Space for Fisher Discriminant Analysis and the Uniqueness Under Constraints

  • Conference paper
Advances in Biometric Person Authentication (SINOBIOMETRICS 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3338))

Included in the following conference series:

  • 2226 Accesses

Abstract

This paper studies the solution space of Fisher Criteria. The space is large and it is impossible to find the best solution generally. This paper intends to construct an optimal projection, which solves the Fisher criteria and is the unique solution under nonsingular linear transformation if some constraints are0020given. Therefore a theorem is proposed which shows the feasible for constructing the projection, with a simple way to process the construction from the traditional LDA. Experiment result shows the ability and feasible of the proposed solution.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Belhumeur, P.N., Hespanha, J.P., Kriegman, D.J.: Eigenfaces vs. Fisherfaces: recognition using class specific linear projection. IEEE Trans. Pattern Anal. Mach. Intell. 19(7), 711–720 (1997)

    Article  Google Scholar 

  2. Jin, Z., Yang, J.Y., Hu, Z.S., Lou, Z.: Face recognition based on the uncorrelated discriminant transformation. Pattern Recognition 34, 1405–1416 (2001)

    Article  MATH  Google Scholar 

  3. Duchene, J., Leclercq, S.: An optimal transformation for discriminant and principal component analysis. IEEE Trans. Pattern Anal. Mach. Intell. 10(6), 978–983 (1988)

    Article  MATH  Google Scholar 

  4. Martinez, A.M., Kak, A.C.: PCA Versus LDA. IEEE Trans. Pattern Anal. Mach. Intell. 23(2), 228–233 (2001)

    Article  Google Scholar 

  5. Fisher, R.A.: The Use of Multiple Measures in Taxonomic Problems. Ann. Eugenics 7, 179–188 (1936)

    Google Scholar 

  6. Ye, J.P., Janardan, R., Park, C.H., Park, H.: An Optimization Criterion for Generalized Discriminant Analysis on Undersampled Problems. IEEE Trans. Pattern Anal. Mach. Intell. 26(8), 982–994 (2004)

    Article  Google Scholar 

  7. Zhao, W., Chellappa, R., Phillips, J., Rosenfeld, A.: Face Recognition: A Literature Survey. ACM Computing Surveys 35(4), 399–458 (2003)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zheng, W., Lai, J., Yuen, P.C. (2004). The Solution Space for Fisher Discriminant Analysis and the Uniqueness Under Constraints. In: Li, S.Z., Lai, J., Tan, T., Feng, G., Wang, Y. (eds) Advances in Biometric Person Authentication. SINOBIOMETRICS 2004. Lecture Notes in Computer Science, vol 3338. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30548-4_36

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-30548-4_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24029-7

  • Online ISBN: 978-3-540-30548-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics