Abstract
As discrete wavelet transform (DWT) is sensitive to the translation/shift of input signals, its effectiveness could be lessened for face recognition, particularly when the face images are translated. To alleviate drawbacks resulted from this translation effect, we propose a decimated redundant DWT (DRDWT)-based face recognition method, where the decimation-based DWTs are performed on the original signal and its 1-stepshift, respectively. Even though the DRDWT realizes the decimation, it enables us to explore the translation invariant DWT representation for the periodic shifts of the probe image that is the most similar to the gallery images. Therefore, it can solve the problem of translation sensitivity of the original DWT and address the translation effect occurring between the probe image and the gallery image. To further improve the recognition performance, we combine the global wavelet features obtained from the entire face and the local wavelet features obtained from face patches to represent both holistic and detail facial features, apply separate classifiers to global and local features and combine the resulted global and local classifiers to form an ensemble classifier. Experimental results reported for the FERET and FRGCv2.0 databases show the effectiveness of the DRDWT method and quantify its performance.
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Turk, M., Pentland, A.: Face recognition using eigenfaces. In: Proceedings of IEEE Conference on Computer Vision and Pattern Recognition, pp. 586–591 (1991)
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)
Bartlett M.S., Movellan J.R., Sejnowski T.J.: Face recognition by independent component analysis. IEEE Trans. Neural Netw. 13(6), 1450–1464 (2002)
Jiang X., Mandal B., Kot A.: Complete discriminant evaluation and feature extraction in kernel space for face recognition. Mach. Vis. Appl. 20, 35–46 (2009)
Shen L., Bai L.: MutalBoost learning for selecting Gabor features for face recognition. Pattern Recognit. Lett. 27(15), 1758–1767 (2006)
Guo, Y., Xu, Z.: Local Gabor phase difference pattern for face recognition. In: Proceedings of 19th International Conference on Pattern Recognition, ICPR, pp. 1–4 (2008)
Su Y., Shan S., Chen X., Gao W.: Hierarchical ensemble of global and local classifiers for face recognition. IEEE Trans. Image Process. 18(8), 1885–1896 (2009)
Verschae R., Ruiz-del-Solar J., Correa M.: A unified learning framework for object detection and classification using nested cascades of boosted classifiers. Mach. Vis. Appl. 19, 85–103 (2008)
Jarillo G., Pedrycz W., Reformat M.: Aggregation of classifiers based on image transformations in biometric face recognition. Mach. Vis. Appl. 19, 125–140 (2008)
Zhao W., Chellappa R., Phillips P.J., Rosenfeld A.: Face recognition: a literature survey. ACM Comput. Surv. 35(4), 399–459 (2003)
Wang, H., Yan, S., Huang, T., Liu, J., Tang, X.: Misalignment robust face recognition. IEEE Conference on Computer Vision and Pattern Recognition, CVPR, pp. 1–6 (2008)
Shan, S., Gao, W., Chang, Y., Cao, B., Yang, P.: Review of the strength of Gabor features for face recognition from the angle of its robustness to mis-alignment. In: 17th International Conference on Pattern Recognition, pp. 338–341 (2004)
Xu D., Yan S., Luo J.: Face recognition using spatially constrained earth mover’s distance. IEEE Trans. Image Process. 17(11), 2256–2260 (2008)
Chen, L., Zhang, L., Zhu, L., Li, M., Zhang, H.: A novel facial feature point localization algorithm using probabilistic-like output. Asian Conference on Computer Vision, pp. 1–6 (2004)
Shan, S., Chang, Y., Gao, W., Cao, B.: Curse of mis-alignment in face recognition: problem and a novel mis-alignment learning solution. In: IEEE International Conference on Automatic Face and Gesture Recognition, pp. 314–320 (2004)
Kwak K.C., Pedrycz W.: Face recognition using fuzzy integral and wavelet decomposition method. IEEE Trans. Syst. Man Cybern. Part B Cybern 34(1), 1666–1675 (2004)
Jadhav D.V., Holambe R.S.: Feature extraction using radon and wavelet transforms with application to face recognition. Neurocomputing 72, 1951–1959 (2009)
Saito N., Coifman R.R., Geshwind F.B., Warner F.: Discriminant feature extraction using empirical probability density estimation and a local basis library. Pattern Recognit. 35(12), 2841–2852 (2002)
Coifman R., Wickerhauser M.V.: Entropy-based algorithms for best basis selection. IEEE Trans. Inform. Theory 38(2), 713–718 (1992)
Li D., Pedrycz W., Pizzi N.J.: Fuzzy and wavelet packet based feature extraction method and its application to signal classification. IEEE Trans. Biomed. Eng. 52(6), 1132–1139 (2005)
Holschneider M., Kronland-Martinet R., Morlet J., Tchamitchian P.: A real-time algorithm for signal analysis with the help of the wavelet transform. In: Combes, J.-M., Grossman, A., Tchamitchian, P. (eds) Wavelets: Time-Frequency Methods and Phase Space, pp. 286–297. Springer, Berlin (1989)
Nason, G.P., Silverman, B.W.: The stationary wavelet transform and some statistical applications. Lecture Notes in Statistics, pp. 281–299. Springer, Berlin (1995)
Lang M., Guo H., Odegard J.E., Burrus C.S., Wells R.O. Jr: Noise reduction using an undecimated discrete wavelet transform. IEEE Signal Process. Lett. 3(1), 10–12 (1996)
Liang J., Parks T.W.: A translation invariant wavelet representation algorithm with applications. IEEE Trans. Signal Process. 44(2), 225–232 (1996)
Pesquet J.C., Krim K., Carfantan H.: Time-invariant orthonormal wavelet representations. IEEE Trans. Signal Process. 44(8), 1964–1970 (1996)
Fowler J.E.: The redundant discrete wavelet transform and additive noise. IEEE Signal Process. Lett. 12(9), 629–632 (2005)
Beylkin G.: On the representation of operators in bases of compactly supported wavelets. SIAM. J. Numer. Anal. 29(6), 1716–1740 (1992)
Shensa M.J.: The discrete wavelet transform: wedding the à trous and Mallat algorithms. IEEE Trans. Signal Process. 40(10), 2464–2482 (1992)
Coifman, R.R., Donoho, D.L.: Translation invariant de-noising, wavelet and statistics. In: Antoniadis, A., Oppenheim, G.: (eds.) Lecture Notes in Statistics, pp. 125–150. Springer, Berlin (1995)
Li, D., Luo, H., Shi, Z.: Redundant DWT based translation invariant wavelet feature extraction for face recognition. In: Proceedings of 19th International Conference on Pattern Recognition, ICPR 1–4 (2008)
FERET database. http://www.nist.gov/humanid/feret/
Phillips, P.J., Flynn, P.J., Scruggs, T., Bowyer, K.W., Chang, J., Hoffman, K., Marques, J., Min, J., Worek, W.: Overview of the face recognition grand challenge. In: IEEE Conference on Computer Vision and Pattern Recognition, CVPR, pp. 947–954 (2005)
Phillips P.J., Moon H., Rizvi S., Rauss P.: The FERET evaluation methodology for face-recognition algorithms. IEEE Trans. Pattern Anal. Mach. Intell. 22(10), 1090–1104 (2000)
Phillips, P.J., Grother, P., Micheals, R.J., Blackburn, D.M., Tabassi, E., Bone, M.: Face recognition vendor test 2002: evaluation report
Aguerrebere, C., Capdehourat, G., Delbracio, M., Mateu, M., Fern’andez, A., Lecumberry, F.: Aguar’a: an improved face recognition algorithm through Gabor filter adaptation. In: IEEE Workshop in Automatic Identification Technologies, AutoID, pp. 74–79 (2007)
Liu C.: Capitalize on dimensionality increasing techniques for improving face recognition performance. IEEE Trans. Pattern Anal. Mach. Intell. 28(5), 725–737 (2006)
Zhang, B., Wang, Z., Zhong, B.: Kernel learning of histogram of local Gabor phase patterns for face recognition. EURASIP J. Adv. Signal Process. 1–8 (2008) (article ID 469109). doi:10.1155/2008/469109
Zhang B., Shan S., Chen X., Gao W.: Histogram of gabor phase patterns (HGPP): a novel object representation approach for face recognition. IEEE Trans. Image Process. 16(1), 57–68 (2007)
Pun C.-M., Lee M.-C.: Extraction of shift invariant wavelet features for classification of images with different sizes. IEEE Trans. Pattern Anal. Mach. Intell. 26(9), 1228–1233 (2004)
Kwak K.C., Pedrycz W.: Face recognition using fuzzy fisherface classifier. Pattern Recognit. 38(10), 1717–1732 (2005)
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Li, D., Tang, X. & Pedrycz, W. Face recognition using decimated redundant discrete wavelet transforms. Machine Vision and Applications 23, 391–401 (2012). https://doi.org/10.1007/s00138-011-0331-2
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DOI: https://doi.org/10.1007/s00138-011-0331-2