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Pose-Encoded Spherical Harmonics for Robust Face Recognition Using a Single Image

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Analysis and Modelling of Faces and Gestures (AMFG 2005)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 3723))

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Abstract

Face recognition under varying pose is a challenging problem, especially when illumination variations are also present. Under Lambertian model, spherical harmonics representation has proved to be effective in modelling illumination variations for a given pose. In this paper, we extend the spherical harmonics representation to encode pose information. More specifically, we show that 2D harmonic basis images at different poses are related by close-form linear combinations. This enables an analytic method for generating new basis images at a different pose which are typically required to handle illumination variations at that particular pose. Furthermore, the orthonormality of the linear combinations is utilized to propose an efficient method for robust face recognition where only one set of front-view basis images per subject is stored. In the method, we directly project a rotated testing image onto the space of front-view basis images after establishing the image correspondence. Very good recognition results have been demonstrated using this method.

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References

  1. Barsi, R., Jacobs, D.: Lambertian Reflectance and Linear Subspaces. IEEE Trans. PAMI 25(2), 218–233 (2003)

    Google Scholar 

  2. Belhumeur, P., Hespanha, J., Kriegman, D.: Eigenfaces vs. Fisherfaces: Recognition Using Class Specific Linear Projection. IEEE Trans. PAMI 19, 711–720 (1997)

    Google Scholar 

  3. Beyme, B.: Face Recognition Under Varying Pose. Tech. Report 1461, MIT AI Lab (1993)

    Google Scholar 

  4. Blanz, V., Vetter, T.: Face Recognition based on Fitting a 3D Morphable Model. IEEE Trans. PAMI 25(9), 1063–1074 (2003)

    Google Scholar 

  5. Dovgard, R., Basri, R.: Statistical Symmetric Shape from Shading for 3D Structure Recovery of Faces. In: ECCV (2004)

    Google Scholar 

  6. Freeman, W., Tenenbaum, J.: Learning Bilinear Models for Two-Factor Problems in Vision. In: Proceedings, IEEE Conference on CVPR, Puerto Rico, pp. 554–560 (June 1997)

    Google Scholar 

  7. Geoghiades, A., Belhumeur, P., Kriegman, D.: Illumination-Based Image Synthesis: Creating Novel Images of Human Faces Under Differing Pose and Lighting. In: Proceedings, Workshop on Multi-View Modeling and Analysis of Visual Scenes, pp. 47–54 (1999)

    Google Scholar 

  8. Pentland, A., Moghaddam, B., Starner, T.: View-based and Modular Eigenspaces for Face Recognition. In: Proceedings, IEEE Conf. on CVPR, pp. 84–91 (June 1994)

    Google Scholar 

  9. Ramamoorthi, R.: Analytic PCA Construction for theoretical Analysis of Lighting Variability in Images of A Lambertian Object. IEEE. PAMI 24(10), 1322–1333 (2002)

    Google Scholar 

  10. Sim, T., Kanade, T.: Illuminating the Face. Tech. Report CMU-RI-TR-01-31, Robotics Institute, CMU (2001)

    Google Scholar 

  11. Sim, T., Baker, S., Bsat, M.: The CMU Pose, Illumination, and Expression (PIE) Database of Human Faces. In: AFGR, pp. 46–51 (2002)

    Google Scholar 

  12. Yue, Z., Chellappa, R.: Pose-Normailzed View Synthesis of a Symmetric Object Using a Single Image. In: ACCV (2004)

    Google Scholar 

  13. Zhang, L., Samaras, D.: Face Recognition Under Variable Lighting Using Harmonic Image Examplars. In: CVPR, vol. I, pp. 19–25 (2003)

    Google Scholar 

  14. Zhang, L., Wang, S., Samaras, D.: Face Synthesis and Recognition from a Single Image under Arbitrary Unknown Lighting using a Spherical Harmonic Basis Morphable Model. In: CVPR (2005) (to appear)

    Google Scholar 

  15. Zhao, W., Chellappa, R.: SFS Based View Synthesis for Robust Face Recognition. In: Int. Conf. on Automatic Face and Gesture Recognition (2000)

    Google Scholar 

  16. Zhao, W., Chellappa, R.: Symmetric Shape-from-Shading Using Self-ratio Image. Int. Journal Computer Vision 45, 55–75 (2001)

    Article  MATH  Google Scholar 

  17. Zhao, W., Chellappa, R., Phillips, J., Rosenfeld, A.: Face Recognition: A Literature Survey. ACM Computing Surveys (December 2003)

    Google Scholar 

  18. Zhou, S., Chellappa, R., Jacobs, D.: Characterization of human faces under illumination variations using rank, integrability, and symmetry constraints. In: ECCV (2004)

    Google Scholar 

  19. 3DFS-100 3 Dimensional Face Space Library, 3rd version, University of Freiburg (2002)

    Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Yue, Z., Zhao, W., Chellappa, R. (2005). Pose-Encoded Spherical Harmonics for Robust Face Recognition Using a Single Image. In: Zhao, W., Gong, S., Tang, X. (eds) Analysis and Modelling of Faces and Gestures. AMFG 2005. Lecture Notes in Computer Science, vol 3723. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11564386_18

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  • DOI: https://doi.org/10.1007/11564386_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29229-6

  • Online ISBN: 978-3-540-32074-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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