Document Type : Review Article

Authors

1 Department of Electrical and Electronic Engineering , Islamic Azad University, South Tehran Branch, Tehran, Iran

2 Department of Management systems, quality & Inspection, Standard Research Institute (SRI), Karaj, Iran

Abstract

In this paper, a face recognition system, by using Contourlet transform (CT) as a two dimensional discrete transform and principal component analysis (PCA) as a sub-space method to form the feature vectors, is implemented. Any input image is decomposed by CT up to three levels and the CT coefficients are obtained at three scales and 15 orientations. The obtained CT coefficients are used by PCA to form the feature vectors. At the end, the Euclidean distance is used for classification. Our experimental results on ORL data base show the appropriate performance in comparison with other approaches even though for each subject only one image is used for training and other 9 images are used for testing. The average accuracy of our proposed algorithm for face recognition is 96.07%. 人脸识别基于Contourlet变换和主成分分析的粗子带伊尔哈姆哈希米鲥鱼, 抽象 在本文中,面部识别系统,通过使用轮廓波变换(CT),其为二维离散变换和主成分分析(PCA),为子空间法,以形成特征向量,实现的。任何输入图象是通过CT分解最多三个水平和三个尺度和15取向获得的CT系数。将所得的CT系数由PCA用于形成特征向量。在结束时,欧几里德距离被用于分类。我们在ORL数据的基础的实验结果表明,与其他的方法,即使对于每个受试者仅一个图像用于培训和其他9图像用于测试比较的适当的性能。我们提出的算法用于人脸识别的平均精度为96.07%

Keywords

[1] J.F., Fuller, E.F., Fuchs, and K.J., Roesler, “Influence of harmonics on power distribution system protection, ” IEEE Trans. Power Delivery, Vol. 3, pp. 549-557, Apr. 1988.
[2] B.A., Myers, “A brief history of human computer interaction technology,” ACM interactions. Vol. 5, No. 2, 1998, pp. 44-54.
[3] D.S.N Carstens, P.R.N McCauley-bell, L.C.N Malone and R.F.N Demara, “Evaluation of the human impact of password authentication practices on information security,” Informing Science Journal, Vol.7, No.1, 2004, pp. 67-85.
[4] T.J., Stonham, “Practical face recognition and verification with wizard,” Aspects of Face Processing, Martinus Nijhoff Publishers, pp. 426-441, 1986.
[5] R., Chellappa, C.L., Wilson and S., Sirohey, “Human and machine recognition of faces: a survey,” Proceedings of the IEEE, Vol. 83, No. 5, pp. 705–740, 1995.
[6] M.. Turk, A.. Pentland, “Eigen faces for recognition,” Journal of Cognitive Neuroscience, Vol.3, No.1, pp. 71–86, 1991.
[7] S.T., Roweis , L.K., Saul, “Nonlinear dimensionality reduction by locally linear embedding,” American Association for the Advancement of Science, Vol.290, No.5500, pp.2323 – 2326, 2000.
[8] M., Lades et al, “Distortion invariant object recognition in the dynamic link architecture,” IEEE Transactions on Computers, Vol.42, No.3, pp. 300–311, 1993.
[9] X., Xie , K.M., Lam, “ Face recognition using elastic local reconstruction based on a single face image,” Published by Elsevier Ltd. Pattern Recognition, Vol.41, pp. 406 – 417, 2008.
[10] Y., Wang, J.P., Li, J., Lin and L., Liu, “The Contourlet transformation and SVM classification for face recognition,” IEEE Conference, pp. 208-211, 2008.
[11] F., Xiao, Y., Liang and X., Qu, “Learning local binary patterns with enhanced boosting for face recognition,” IEEE International Conferencepp, PP.1154-1158. . 2011.
[12] Ch., Lu, S., An, W., Liu and X., Liu, “An innovative weighted 2DLDA approach for face recognition,” Springer ,Vol. 65, pp. 81-87, 2011.
[13] N., Minh, V., Martin, “The Contourlet transform: an efficient directional multiresolution image representation,” IEEE Transactions on Image Processing, Vol.14, pp. 1-16, 2005.
[14] P. J., Burt, E.H., Adelson, “The laplacian pyramid as a compact image code,” IEEE Trans. Communications. Vol. 9, No. 4, pp. 532-540, 1983.
[15] R.H., Bamberger , M.J.T., Smith, “A filter bank for the directional decomposition of images: theory and design,” IEEE Trans. on Signal Processing. Vol. 40, No. 4, pp. 882–893, 1992.
[16] L., Yang, B.L., Guo and W., NI, “Multimodality medical image fusion based on multiscale geometric analysis of Contourlet transform,” journal Neurocomputing. Vol. 72, No. 1-3, pp. 203-211, 2008.
[17] H., Moon, P.J., Phillips, “Computational and performance aspects of PCA-based face recognition algorithm,” Perception. Vol. 30, pp. 303-321, 2001.
[18] T., Mandal, A., Majmudar, Q.M., Jonathan, “Face recognition by Curvelet based feature extraction,” International Conference on Intelligent Automation and Robotics, LNCS 4633, pp. 806-817, 2007.
[19] M., Pirra, E., Gandino, A., Torri, L., Garibald and J.M., Machorro-Lopez, “PCA algorithm for detection localization and evolution of damages in gearbox bearings,” IOP Publishing, International Conference on Damage Assessment of Structures DAMAS , pp. 1-10, 2011.
[20] M.N., Do , M., Vetterli, “Contourlets: a directional multiresolution image representation,” In Processing. ICIP, Vol. 1, pp. 357-360, 2002.
[21] ORL the oliver research laboratory in Cambridge, Uk , 1992-1994.
[22] X., Xu, D., Zhang and X., Zhang, “An efficient method for human face recognition using nonmulti-sampled contourlet transform and support vector machine,” Optica Applicata. Vol. XXXIX, No. 3, pp. 601-615, 2009.
[23] M., Lades, J.C., Vorbruggen, J., Buhmann, J., Lange, C.V.D., Malsburg, R.P., Wurtz and W. Konen, “Distortion invariant object recognition in the dynamic link architecture,” Journal IEEE Transactions on Computers. Vol.42, No.3, pp. 300–311, 1993.
[24] C., Liu, H., Wechsler, “Gabor feature based classification using the enhanced fisher linear discriminant model for face recognition,” IEEE Trans. on Image Processing. Vol.11,No. 4, pp. 467–476, 2002.