An approach to facial expression recognition integrating radial basis function kernel and multidimensional scaling analysis

To better deal with high dimensions and extract the essential feature of facial expression images in facial expression recognition task, a novel approach integrating radial basis function kernel and multidimensional scaling analysis is proposed in this paper. Firstly, the radial basis function kernel is invoked to map facial expression images to the Hilbert space. Then, Hilbert distance is substituted for the Euclidean distance and a neighbor graph is constructed to express the relationship between data points by employing k nearest neighbor method. Finally, we apply the modified MDS algorithm to reduce the dimension and extract features of facial expression images. Experiments results on the JAFFE database show that this proposed algorithm performs better than Isomap algorithm and supervised Isomap algorithm, and it is more feasible and effective.

[1]  Wang Jue Locally Linear Embedding and Its Application in Facial Expressions Recognition , 2010 .

[2]  Pedro Antonio Gutiérrez,et al.  Evolutionary q-Gaussian radial basis function neural networks for multiclassification , 2011, Neural Networks.

[3]  Stefanos Zafeiriou,et al.  Regularized Kernel Discriminant Analysis With a Robust Kernel for Face Recognition and Verification , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[4]  Tao Yu,et al.  Adaptive spherical Gaussian kernel in sparse Bayesian learning framework for nonlinear regression , 2009, Expert Syst. Appl..

[5]  Flora S. Tsai A visualization metric for dimensionality reduction , 2012, Expert Syst. Appl..

[6]  Haixian Wang,et al.  Locality-Preserved Maximum Information Projection , 2008, IEEE Transactions on Neural Networks.

[7]  Daniel Thalmann,et al.  Planar arrangement of high-dimensional biomedical data sets by isomap coordinates , 2003, 16th IEEE Symposium Computer-Based Medical Systems, 2003. Proceedings..

[8]  Ying Guang Yang,et al.  Study of Emotion Recognition Based on Surface Electromyography and Improved Least Squares Support Vector Machine , 2011, J. Comput..

[9]  Stephen Lin,et al.  Graph Embedding and Extensions: A General Framework for Dimensionality Reduction , 2007, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[10]  Nicu Sebe,et al.  Authentic Facial Expression Analysis , 2004, FGR.

[11]  Joshua B. Tenenbaum,et al.  The Isomap Algorithm and Topological Stability , 2002, Science.

[12]  Lionel Tarassenko,et al.  Novel signal shape descriptors through wavelet transforms and dimensionality reduction , 2003, SPIE Optics + Photonics.

[13]  Qijun Zhao,et al.  Facial expression recognition on multiple manifolds , 2011, Pattern Recognit..

[14]  Rudolf Fleischer,et al.  Distance Approximating Dimension Reduction of Riemannian Manifolds , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[15]  Yuan Yan Tang,et al.  Topology Preserving Non-negative Matrix Factorization for Face Recognition , 2008, IEEE Transactions on Image Processing.

[16]  Jie Wang,et al.  Gaussian kernel optimization for pattern classification , 2009, Pattern Recognit..

[17]  YU Xue-lian Radar Target Recognition Using Range Profiles Based on KLLE and KNR , 2008 .

[18]  Ziqiang Wang,et al.  Manifold Adaptive Kernel Local Fisher Discriminant Analysis for Face Recognition , 2012, J. Multim..

[19]  Maja J. Mataric,et al.  Deriving action and behavior primitives from human motion data , 2002, IEEE/RSJ International Conference on Intelligent Robots and Systems.

[20]  Yuxiao Hu,et al.  Face recognition using Laplacianfaces , 2005, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[21]  Wang Jing Robust Laplacian eigenmap , 2011 .

[22]  Eric O. Postma,et al.  Dimensionality Reduction: A Comparative Review , 2008 .

[23]  Mikhail Belkin,et al.  Beyond the point cloud: from transductive to semi-supervised learning , 2005, ICML.

[24]  Felix A. Wichmann,et al.  Gender Classification of Human Faces , 2002, Biologically Motivated Computer Vision.

[25]  Josef Kittler,et al.  On-line Learning of Mutually Orthogonal Subspaces for Face Recognition by Image Sets , 2010, IEEE Transactions on Image Processing.

[26]  Wen Gao,et al.  Coupled Bias–Variance Tradeoff for Cross-Pose Face Recognition , 2012, IEEE Transactions on Image Processing.

[27]  Salvatore Sessa,et al.  Fuzzy transforms method and attribute dependency in data analysis , 2010, Inf. Sci..

[28]  J. Tenenbaum,et al.  A global geometric framework for nonlinear dimensionality reduction. , 2000, Science.

[29]  Yen-Wei Chen,et al.  Multilinear Supervised Neighborhood Embedding of a Local Descriptor Tensor for Scene/Object Recognition , 2012, IEEE Transactions on Image Processing.

[30]  Daijin Kim,et al.  Natural facial expression recognition using differential-AAM and manifold learning , 2009, Pattern Recognit..

[31]  Fu Yong-qing Automatic target recognition based on kPCA feature extraction algorithm , 2011 .

[32]  Weidong Yi,et al.  Frame Fundamental High-Resolution Image Fusion From Inhomogeneous Measurements , 2012, IEEE Transactions on Image Processing.

[33]  Bernhard Schölkopf,et al.  A tutorial on support vector regression , 2004, Stat. Comput..

[34]  Andrés Marino Álvarez-Meza,et al.  Global and local choice of the number of nearest neighbors in locally linear embedding , 2011, Pattern Recognit. Lett..

[35]  Bin Zhu,et al.  Discrimination of black walnut shell and pulp in hyperspectral fluorescence imagery using Gaussian kernel function approach , 2007 .