Abstract:In image recognition applications, Riemannian manifold learning algorithms can not eliminate the redundant information in images effectively. Therefore, an image recognition algorithm based on Log-Gabor wavelet and Riemannian manifold learning is presented. Firstly, images are processed by the Log-Gabor filter to obtain high-dimensional Log-Gabor image features. Then, the Riemannian manifold learning algorithm is used to reduce the dimensionality of the image features. Research shows that the integration of Log-Gabor wavelet and Riemannian manifold learning is in accord with the process of human visual perception. The proposed algorithm has better robustness to illumination and angle variation of the image. Experimental results on several standard databases indicate the effectiveness of the proposedalgorithm.
[1] Wold S, Esbensen K, Geladi P. Principal Component Analysis. Chemometrics and Intelligent Laboratory Systems, 1987, 2(1/2/3): 37-52
[2] Balakrishnama S, Ganapathiraju A. Linear Discriminant Analysis-A Brief Tutorial[EB/OL]. [2014-08-30]. http://www.music.mcgill.ca/~ich/classes/mumt611_07/classifiers/lda_theory.pdf [3] Tenenbaum J B, de Silva V, Langford J C. A Global Geometric Framework for Nonlinear Dimensionality Reduction. Science, 2000, 290(5500): 2319-2323 [4] Roweis S T, Saul L K. Nonlinear Dimensionality Reduction by Locally Linear Embedding. Science, 2000, 290(5500): 2323-2326 [5] Belkin M, Niyogi P. Laplacian Eigenmaps for Dimensionality Reduction and Data Representation. Neural Computation, 2003, 15(6): 1373-1396 [6] He X F, Niyogi X. Locality Preserving Projections[EB/OL]. [2014-08-30]. http://machinelearning.wustl.edu/mlpapers/paper_files/NIPS2003_AA20.pdf [7] Zhang Z Y, Zha H Y. Principal Manifolds and Nonlinear Dimensionality Reduction via Tangent Space Alignment. Journal of Shanghai University: English Edition, 2004, 8(4): 406-424
[8] Brun A, Westin C F, Herberthson M, et al. Fast Manifold Learning Based on Riemannian Normal Coordinates // Proc of the 14th Scandinavian Conference on Image Analysis. Joensuu, Finland, 2005: 920-929 [9] Lin T, Zha H B. Riemannian Manifold Learning. IEEE Trans on Pattern Analysis and Machine Intelligence, 2008, 30(5): 796-809 [10] Zhang J P, Shen C, Feng J F. Classification with the Hybrid of Manifold Learning and Gabor Wavelet // Proc of the 3rd International Symposium on Neural Networks. Chengdu, China, 2006, I: 1346-1351 [11] Zhang Z L, Yang F, Tan W A, et al. Gabor FeatureBased Face Recognition Using Supervised Locality Preserving Projection. Signal Processing, 2007, 87(10): 2473-2483 [12] Wang Q J, Zhang R B. Face Recognition Based on LogGabor and Orthogonal IsoProjection. Computer Science, 2011, 38(2): 274-276, 295 (in Chinese)
(王庆军,张汝波.基于 LogGabor 和正交等度规映射的人脸识别.计算机科学, 2011, 38(2): 274-276, 295) [13] Field D J. Relations between the Statistics of Natural Images and the Response Properties of Cortical Cells. Journal of the Optical Society of America A: Optics Image Science and Vision, 1987, 4(12): 2379-2394 [14] Lin G J, Xie M. Face Recognition Based on Riemannian Manifold Learning // Proc of the International Conference on Computational ProblemSolving. Chengdu, China, 2011: 55-59 [15] Huang H, Li J W, Feng H L. Fusion of LogGabor Wavelet and Supervised Locality Preserving Projection for Face Recognition. Journal of ComputerAided Design & Computer Graphics, 2008, 20(10): 1332-1337 (in Chinese)
(黄 鸿,李见为,冯海亮.融合 LogGabor 小波和监督保局映射的人脸识别算法.计算机辅助设计与图形学学报, 2008, 20(10): 1332-1337) [16] Zhao L H, Yang C K, Pan F, et al. Face Recognition Based on Gabor with 2DPCA and PCA // Proc of the 24th Chinese Control and Decision Conference. Taiyuan, China, 2012: 2632-2635 [17] Nazari S, Moin M S. Face Recognition Using Global and Local Gabor Features // Proc of the 21st Iranian Conference on Electrical Engineering. Mashhad, Iran, 2013. DOI: 10.1109/IranianCEE.2013.6599704 [18] Tanaka K, Hotta S. Local Subspace Classifier with Gabor Filter Decomposition for Image Classification // Proc of the 2nd IAPR Asian Conference on Pattern Recognition. Naha, Japan, 2013: 823-827