Abstract
Variations in illumination is a well-known affecting factor of face recognition system performance. Feature extraction is one of the principal steps on a face recognition framework, where it is possible to alleviate the illumination effects on face images. The aim of this work is to study the illumination invariant properties of a hypercomplex image representation. A quaternion description from the image is built using second order derivatives decomposition. This representation is transformed to quaternion frequency domain in order to analyze its illumination invariant and discriminative properties, which are compared against the ones of the complex frequency domain representation obtained by using first order derivative decomposition. The hypercomplex quaternion representation was found to be more discriminative than the complex one, when comparing on face recognition with images under varying lighting conditions.
Chapter PDF
Similar content being viewed by others
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
Chen, H., Belhumeur, P., Jacobs, D.: In search of illumination invariants. In: IEEE International Conference on Computer Vision and Pattern Recognition (2000)
Belhumeur, P., Pentland, J., Kriegman, D.: Eigenfaces vs. fisherfaces: Recognition using class specific linear projection. IEEE Trans. Pattern Anal. Machine Intell. 19, 711–720 (1997)
Hafed, Z.M., Levine, M.D.: Face recognition using the discrete cosine transform. Int. J. Comput. Vision 43(3), 167–188 (2001)
Savvides, M., Vijaya Kumar, B., Khosla, P.: Corefaces-robust shift invariant pca based correlation filter for illumination tolerant face recognition. In: Proc. IEEE CVPR 2004 (2004)
Qing, L., Shan, S., Chen, X., Gao, W.: Face recognition under varying lighting based on the probabilistic model of gabor phase. IEEE Computer Society, Los Alamitos (2006)
Pujol, A.: Contributions to Shape and Texture Face Similarity Measurement. PhD thesis, Universitat Autónoma de Barcelona (2001)
Ahonen, T., Hadid, A., Pietikäinen, M.: Face recognition with local binary patterns. In: Pajdla, T., Matas, J(G.) (eds.) ECCV 2004. LNCS, vol. 3021, pp. 469–481. Springer, Heidelberg (2004)
Vijayakumar, B., Savvides, K., Venkataramani, K., Xie, C.: Spatial frequency domain image processing for biometric recognition. In: IEEE International Conference on Image Processing, pp. 53–56 (2002)
Garea, E., Kittler, J., Messer, K., Mendez, H.: An illumination insensitive representation for face verification in the frequency domain. In: ICPR 2006, pp. 215–218. IEEE Computer Society, Los Alamitos (2006)
Chunyan, X., Savvides, M., Vijayakumar, B.: Quaternion correlation filters for face recognition in wavelet domain. In: Proc. IEEE Int. Conf. on Acoustics, Speech, and Signal Processing (2005)
Sim, T., Baker, S., Bsat, M.: The cmu pose, illumination, and expression (pie) database of human faces. Technical report (2007)
Hamilton, W.: 24. In: Elements of Quaternions. Longmans, Green (1866)
Sangwine, S., Le Bihan, N.: Quaternion polar representation with a complex modulus and complex argument inspired by the cayley-dickson form. In: Proc. IEEE Int. Conf. on Acoustics, Speech, and Signal Processing (2005)
Moxey, C., Sangwine, S., Ell, T.: Hypercomplex correlation techniques for vector images. IEEE Transaction on Signal Processing 51, 1941–1953 (2003)
Denis, P.: Quaternions et Algèbres Géométriques, de nouveaux outils pour les images numériques couleur. PhD thesis, Université de Poitiers (2006)
Mahecha, V.: Aplicación de los números hipercomplejos o cuaterniones en imágenes de color. Ingeniería y desarrollo (023), 72–83 (2008)
Bayro, E.: 6. In: Geometric Computing for Perception Action Systems, pp. 115–136. Springer, New York (2001)
Messer, K., Matas, J., Kittler, J., Jonsson, K.: Xm2vtsdb: The extended m2vts database. In: Second International Conference on Audio and Video-based Biometric Person Authentication, pp. 72–77 (1999)
Lee, K.C., Ho, J., Kriegman, D.J.: Acquiring linear subspaces for face recognition under variable lighting. IEEE Transactions on Pattern Analysis and Machine Intelligence 27(5), 684–698 (2005)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Rizo-Rodríguez, D., Méndez-Vázquez, H., García-Reyes, E. (2010). Illumination Invariant Face Image Representation Using Quaternions. In: Bloch, I., Cesar, R.M. (eds) Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications. CIARP 2010. Lecture Notes in Computer Science, vol 6419. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16687-7_58
Download citation
DOI: https://doi.org/10.1007/978-3-642-16687-7_58
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-16686-0
Online ISBN: 978-3-642-16687-7
eBook Packages: Computer ScienceComputer Science (R0)