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A Method for Image Classification Based on Polyharmonic Random Weights Networks and Curvelet Transform |
ZHAO Jian-Wei, ZHOU Zheng-Hua, CAO Fei-Long |
Department of Mathematics, College of Sciences, China Jiliang University, Hangzhou 310018 |
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Abstract Image classification is one of the most important and basic problems in image processing, and designing an effective feature extraction method and a fast classifier with a high recognition rate are two key points in image classification. Polyharmonic random weights networks (P-RWNs) are proposed based on the random weights networks (RWNs) and the advantage of polynomial that it can approximate the part with small variation effectively. Based on the proposed P-RWNs, a method for image classification is presented by integrating fast discrete curvelet transform (FDCT) and discriminative locality alignment (DLA). In the proposed method, FDCT is used to extract features from images, then the dimensionalities of these features are reduced by DLA before the features are input to the proposed P-RWNs classifier for recognition. Experimental results show that the proposed image classification method achieves higher recognition rate and recognition speed.
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Received: 07 January 2013
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[1] Hanbury A. A Survey of Methods for Image Annotation. Journal of Visual Languages and Computing, 2008, 19(5): 617-627 [2] Kirby M, Sirovich L. Application of the Karhunen-Loeve Procedure for the Characterization of Human Faces. IEEE Trans on Pattern Analysis and Machine Intelligence, 1990, 12(1): 103-108 [3] Feng G C, Yuen P C, Dai D Q. Human Face Recognition Using PCA on Wavelet Subband. Journal of Electronic Imaging, 2000, 9(2): 226-233 [4] Yang J, Zhang D, Frangi A F, et al. Two-Dimensional PCA: A New Approach to Appearance-Based Face Representation and Re-cognition. IEEE Trans on Pattern Analysis and Machine Intelligence, 2004, 26(1): 131-137 [5] Zhang D Q, Zhou Z H. (2D)2PCA: Two-Directional Two-Dimensional PCA for Efficient Face Representation and Recognition. Neurocomputing, 2005, 69(1/2/3): 224-231 [6] Bartlett M S, Movellan J R, Sejnowski T J. Face Recognition by Independent Component Analysis. IEEE Trans on Neural Networks, 2002, 13(6): 1450-1464 [7] Lu J, Plataniotis K N, Venetsanopoulos A N. Face Recognition Using LDA-Based Algorithms. IEEE Trans on Neural Networks, 2003, 14(1): 195-200 [8] Schelkopf B, Smola A, Mueller K R. Kernel Principal Component Analysis[EB/OL]. [2012-12-20]. http://www1.cs.columbia.edu/~cleslie/cs4761/papers/scholkopf_kernel.pdf [9] Yang J, Frangi A F, Yang J Y, et al. KPCA Plus LDA: A Complete Kernel Fisher Discriminant Framework for Feature Extraction and Recognition. IEEE Trans on Pattern Analysis and Machine Intelligence, 2005, 27(2): 230-244 [10] Zhang T H, Tao D C, Yang J. Discriminative Locality Alignment // Proc of the 10th European Conference on Computer Vision. Marseille, France, 2008, I: 725-738 [11] Huang K, Aviyente S.Wavelet Feature Selection for Image Classification. IEEE Trans on Image Processing, 2008, 17(9): 1709-1720 [12] Jemai O, Zaied M, Amar C B, et al. FBWN: An Architecture of Fast Beta Wavelet Networks for Image Classification // Proc of the International Joint Conference on Neural Networks. Barcelona, Spain, 2010: 1-8 [13] Chen J T, Wu C C. Discriminant Waveletfaces and Nearest Feature Classifiers for Face Recognition. IEEE Trans on Pattern Analysis and Machine Intelligence, 2002, 24(12): 1644-1649 [14] Zhang B L, Zhang H H, Ge S S. Face Recognition by Applying Wavelet Subband Representation and Kernel Associative Memory. IEEE Trans on Neural Networks, 2004, 15(1): 166-177 [15] Zhao M H, Li P, Liu Z F. Face Recognition Based on Wavelet Transform Weighted Modular PCA // Proc of the Congress on Image and Signal Processing. Haikou, China, 2008, IV: 589-593 [16] Murtagh F, Starck J L. Wavelet and Curvelet Moments for Image Classification: Application to Aggregate Mixture Grading. Pattern Recognition Letter, 2008, 29(10): 1557-1564 [17] Donoho D L, Duncan M R. Digital Curvelet Transform: Strategy, Implementation and Experiments[EB/OL]. [2012-12-20]. http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.88.1172&rep=rep1&type=pdf [18] Candès E J, Demanet L, Donoho D L, et al. Fast Discrete Curvelet Transforms. Multiscale Modelling Simulation, 2006, 5(3): 861-899 [19] Hu H F. Variable Lighting Face Recognition Using Discrete Wavelet Transform. Pattern Recognition Letters, 2011, 32(13): 1526-1534 [20] Cheng S S, Yang Y B, Li Y W. Study on Classification Based on Image Fusion with Curvelet Transform. Proc of SPIE, 2007. DOI:10.1117/12.742231 [21] Sun A R, Tan Y H. Hyperspectral Data Classification Using Image Fusion Based on Curvelet Transform. Proc of SPIE, 2007.DOI:10.1117/12.750049 [22] Mandal T, Wu Q M J, Yuan Y. Curvelet Based Face Recognition via Dimension Reduction. Signal Processing, 2009, 89(12): 2345-2353 [23] Gan J Y, He S B. Nonlinear Radon Transform and Its Application to Face Recognition. Pattern Recognition and Artificial Intelligence, 2011, 24(3): 405-410 (in Chinese) (甘俊英,何思斌.非线性Radon变换及其在人脸识别中的应用.模式识别与人工智能, 2011, 24(3): 405-410) [24] Cao F L, Xu Z B, Liang J Y. Approximation of Polynomial Functions by Neural Network: Construction of Network and Algorithm of Approximation. Chinese Journal of Computers, 2003, 26(8): 906-912 (in Chinese) (曹飞龙,徐宗本,梁吉业.多项式函数的神经网络逼近:网络的构造与逼近算法.计算机学报, 2003, 26(8): 906-912) [25] Giberti M J, Doboli A. Adaptive Precision Neural Networks for Image Classification // Proc of the NASA/ESA Conference on Adaptive Hardware and Systems. Noordwijk, the Netherlands, 2008: 244-251 [26] Cheng Y, Lu J, Yahagi T. Car License Plate Recognition Based on the Combination of Principal Components Analysis and Radial Basis Function Networks // Proc of the 7th International Conference of Signal Processing. Beijing, China, 2004, II: 1455-1458 [27] Ng W W Y, Dorado A, Yeung D S, et al. Image Classification with the Use of Radial Basis Function Neural Networks and the Minimization of the Localized Generalization Error. Pattern Recognition, 2007, 40(1): 19-32 [28] Fu Y, Wang Y W, Wang W Q, et al. Content-Based Natural Image Classification and Retrieval Using SVM. Chinese Journal of Computers, 2003, 26(10): 1261-1265 (in Chinese) (付 岩,王耀威,王伟强,等.SVM用于基于内容的自然图像分类和检索.计算机学报, 2003, 26(10): 1261-1265) [29] Cybenko G. Approximation by Superposition of a Sigmoidal Functions. Mathematics of Control, Signals and Systems, 1989, 2(4): 303-314 [30] Hornik K. Some New Results on Neural Network Approximation. Neural Networks, 1993, 6(8): 1069-1072 [31] Chen T P, Chen H, Liu R W. Approximation Capability in C(n)by Multiplayer Feedforward Networks and Related Problems. IEEE Trans on Neural Networks, 1995, 6(1): 25-30 [32] Xu Z B, Cao F L. The Essential Order of Approximation for Neural Networks. Science in China: Series F, 2004, 47(1): 97-112 [33] Rowley H A, Baluja S, Kanade T. Neural Network-Based Face Detection. IEEE Trans on Pattern Analysis and Machine Intelligence, 1998, 20(1): 23-38 [34] Er Meng J, Wu S Q, Lu J W, et al. Face Recognition with Radial Basis Function (RBF) Neural Networks. IEEE Trans on Neural Networks, 2002, 13(3): 697-710 [35] Ma L Y, Khorasani K. Facial Expression Recognition Using Constructive Feedforward Neural Networks. IEEE Trans on Systems, Man and Cybernetics: Part B, 2004, 34(3): 1588-1595 [36] de Diego I M, Serrano A, Conde C, et al. Face Verification with a Kernel Fusion Method. Pattern Recognition Letters, 2010, 31(9): 837-844 [37] Pao Y H, Park G H, Sobajic D J. Learning and Generalization Characteristics of the Random Vector Functional-Link Net. Neurocomputing, 1994, 6(2): 163-180 [38] Igelnik B, Pao Y H. Stochastic Choice of Basis Functions in Adaptive Function Approximation and the Functional-Link Net. IEEE Trans on Neural Networks, 1995, 6(6): 1320-1329 [39] Schmidt W F, Kraaijveld M A, Duin R P W. Feed forward Neural Networks with Random Weights // Proc of the 11th IAPR International Conference on Pattern Recognition. the Hague, the Netherlands, 1992, II: 1-4 [40] Igelnik B, Pao Y H. Additional Perspectives on Feedforward Neural-Nets and the Functional Link // Proc of the International Joint Conference on Neural Networks. Nagoya, Japan, 1993, Ⅲ: 2284-2287 [41] Tyukin J Y, Prokhorov D V. Feasibility of Random Basis Function Approximators for Modeling and Control // Proc of the IEEE International Symposium on Intelligent Control. Saint Petersburg, Russia, 2009: 1391-1396 [42] Duchon J. Splines Minimizing Rotation-Invariant Semi-norms in Sobolev Spaces. Lecture Notes in Mathematics, 1977, 571: 85-100 [43] Rao C R, Mitra S K. Generalized Inverse of Matrices and Its Applications. New York, USA: Wiley, 1971 |
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