Skip to main content

Mirror PCA: Exploiting Facial Symmetry for Feature Extraction

  • Conference paper
  • First Online:
Book cover Intelligent Computing Theories and Application (ICIC 2019)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 11643))

Included in the following conference series:

  • 1440 Accesses

Abstract

Feature extraction technique aiming at obtaining discriminative information from high-dimensional face images is of great importance in face recognition. One widely used method for extracting primary feature is Principal Component Analysis (PCA), which uses projection matrix for dimensionality reduction. There are many improvements of PCA but no one pays attention to the fact that both facial images and facial expression are symmetrical to some degree. Facial symmetry is a helpful characteristic, which benefits of feature extraction. In this paper, Mirror Principal Component Analysis (Mirror PCA) method is proposed for extracting representative facial features, which takes advantage of the facial symmetry in a face image. In order to verify the effectiveness of the proposed method, we compare the Mirror PCA method with other four methods on four famous face databases. The experimental results indicate that the representation capacity of our method is superior to others.

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 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

References

  1. Kirby, M., Sirovich, L.: Application of the Karhunen-Loeve procedure for the characterization of human faces. IEEE Trans. Pattern Anal. Mach. Intell. 12, 103–108 (1990)

    Article  Google Scholar 

  2. Fang, X., et al.: Approximate low-rank projection learning for feature extraction. IEEE Trans. Neural Netw. Learn. Syst. 29, 1–14 (2018)

    Article  MathSciNet  Google Scholar 

  3. Xu, Y., Zhang, D.: Represent and fuse bimodal biometric images at the feature level: complex-matrix-based fusion scheme. Opt. Eng. 49, 037002 (2010)

    Article  Google Scholar 

  4. Elgallad, E.A., Charfi, N., Alimi, A.M., Ouarda, W.: Human identity recognition using sparse auto encoder for texture information representation in palmprint images based on voting technique. In: Computer Science & Information Technology (2018)

    Google Scholar 

  5. Reza, M.S., Ma, J.: ICA and PCA integrated feature extraction for classification. In: IEEE International Conference on Signal Processing (2017)

    Google Scholar 

  6. Yoo, C.H., Kim, S.W., Jung, J.Y., Ko, S.J.: High-dimensional feature extraction using bit-plane decomposition of local binary patterns for robust face recognition. J. Vis. Commun. Image Represent. 45, 11–19 (2017)

    Article  Google Scholar 

  7. Lu, Y., Lai, Z., Xu, Y., Li, X., Zhang, D., Yuan, C.: Low-rank preserving projections. IEEE Trans. Cybern. 46, 1900–1913 (2016)

    Article  Google Scholar 

  8. Jolliffe, I.: Principal Component Analysis. Springer, Heidelberg (2011)

    MATH  Google Scholar 

  9. Yang, J., Zhang, D.D., Frangi, A.F., Yang, J.-Y.: Two-dimensional PCA: a new approach to appearance-based face representation and recognition. IEEE Trans. Pattern Anal. Mach. Intell. 26, 131–137 (2004)

    Article  Google Scholar 

  10. Kong, H., Wang, L., Teoh, E.K., Li, X., Wang, J.-G., Venkateswarlu, R.: Generalized 2D principal component analysis for face image representation and recognition. Neural Netw. 18, 585–594 (2005)

    Article  Google Scholar 

  11. Li, X., Pang, Y., Yuan, Y.: L1-norm-based 2DPCA. IEEE Trans. Syst. Man Cybern. Part B (Cybern.) 40, 1170–1175 (2010)

    Article  Google Scholar 

  12. Kim, Y.-G., Song, Y.-J., Chang, U.-D., Kim, D.-W., Yun, T.-S., Ahn, J.-H.: Face recognition using a fusion method based on bidirectional 2DPCA. Appl. Math. Comput. 205, 601–607 (2008)

    Article  MathSciNet  Google Scholar 

  13. Kim, C., Choi, C.-H.: Image covariance-based subspace method for face recognition. Pattern Recogn. 40, 1592–1604 (2007)

    Article  Google Scholar 

  14. Wang, H.: Block principal component analysis with L1-norm for image analysis. Pattern Recogn. Lett. 33, 537–542 (2012)

    Article  Google Scholar 

  15. Ng, A.Y.: Feature selection, L 1 vs. L 2 regularization, and rotational invariance. In: Proceedings of the Twenty-First International Conference on Machine Learning, p. 78. ACM (2004)

    Google Scholar 

  16. Ke, Q., Kanade, T.: Robust L/sub 1/norm factorization in the presence of outliers and missing data by alternative convex programming. In: 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR 2005), pp. 739–746. IEEE (2005)

    Google Scholar 

  17. Ding, C., Zhou, D., He, X., Zha, H.: R 1-PCA: rotational invariant L 1-norm principal component analysis for robust subspace factorization. In: Proceedings of the 23rd International Conference on Machine Learning, pp. 281–288. ACM (2006)

    Google Scholar 

  18. Kwak, N.: Principal component analysis based on L1-norm maximization. IEEE Trans. Pattern Anal. Mach. Intell. 30, 1672–1680 (2008)

    Article  MathSciNet  Google Scholar 

  19. Nie, F., Huang, H., Ding, C., Luo, D., Wang, H.: Robust principal component analysis with non-greedy ℓ1-norm maximization. In: Twenty-Second International Joint Conference on Artificial Intelligence (2011)

    Google Scholar 

  20. Pang, Y., Li, X., Yuan, Y.: Robust tensor analysis with L1-norm. IEEE Trans. Circuits Syst. Video Technol. 20, 172–178 (2010)

    Article  Google Scholar 

  21. Ekman, P., Hager, J.C., Friesen, W.V.: The symmetry of emotional and deliberate facial actions. Psychophysiology 18, 101–106 (1981)

    Article  Google Scholar 

  22. Saha, S., Bandyopadhyay, S.: A symmetry based face detection technique (2007)

    Google Scholar 

  23. Saber, E., Tekalp, A.M.: Frontal-view face detection and facial feature extraction using color, shape and symmetry based cost functions. Pattern Recogn. Lett. 19, 669–680 (1998)

    Article  Google Scholar 

  24. Xu, Y., Zhu, X., Li, Z., Liu, G., Lu, Y., Liu, H.: Using the original and ‘symmetrical face’ training samples to perform representation based two-step face recognition. Pattern Recogn. 46, 1151–1158 (2013)

    Article  Google Scholar 

  25. Yang, Q., Ding, X.: Symmetrical PCA in face recognition. In: Proceedings of International Conference on Image Processing, pp. II-II. IEEE (2002)

    Google Scholar 

  26. Martínez, A., Benavente, R.: The AR face database. Cvc Technical report 24 (1998)

    Google Scholar 

  27. Kuang-Chih, L., Jeffrey, H., Kriegman, D.J.: Acquiring linear subspaces for face recognition under variable lighting. IEEE Trans. Pattern Anal. Mach. Intell. 27, 684–698 (2005)

    Article  Google Scholar 

  28. Samaria, F.S., Harter, A.C.: Parameterisation of a stochastic model for human face identification. In: IEEE Workshop on Applications of Computer Vision (1994)

    Google Scholar 

  29. Huang, J.: The FERET database and evaluation procedure for face recognition. Image Vis. Comput. J. 16, 295–306 (1998)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jian-Xun Mi .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Mi, JX., Sun, Y. (2019). Mirror PCA: Exploiting Facial Symmetry for Feature Extraction. In: Huang, DS., Bevilacqua, V., Premaratne, P. (eds) Intelligent Computing Theories and Application. ICIC 2019. Lecture Notes in Computer Science(), vol 11643. Springer, Cham. https://doi.org/10.1007/978-3-030-26763-6_27

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-26763-6_27

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-26762-9

  • Online ISBN: 978-3-030-26763-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics