Image Set-Based Collaborative Representation for Face Recognition

With the rapid development of digital imaging and communication technologies, image set-based face recognition (ISFR) is becoming increasingly important. One key issue of ISFR is how to effectively and efficiently represent the query face image set using the gallery face image sets. The set-to-set distance-based methods ignore the relationship between gallery sets, whereas representing the query set images individually over the gallery sets ignores the correlation between query set images. In this paper, we propose a novel image set-based collaborative representation and classification method for ISFR. By modeling the query set as a convex or regularized hull, we represent this hull collaboratively over all the gallery sets. With the resolved representation coefficients, the distance between the query set and each gallery set can then be calculated for classification. The proposed model naturally and effectively extends the image-based collaborative representation to an image set based one, and our extensive experiments on benchmark ISFR databases show the superiority of the proposed method to state-of-the-art ISFR methods under different set sizes in terms of both recognition rate and efficiency.

[1]  Lei Zhang,et al.  Sparse representation or collaborative representation: Which helps face recognition? , 2011, 2011 International Conference on Computer Vision.

[2]  Larry S. Davis,et al.  Covariance discriminative learning: A natural and efficient approach to image set classification , 2012, 2012 IEEE Conference on Computer Vision and Pattern Recognition.

[3]  Kristin P. Bennett,et al.  Duality and Geometry in SVM Classifiers , 2000, ICML.

[4]  丸山 徹 Convex Analysisの二,三の進展について , 1977 .

[5]  Ju-Chin Chen,et al.  Kernel discriminant transformation for image set-based face recognition , 2011, Pattern Recognit..

[6]  Liang-Tien Chia,et al.  Kernel Sparse Representation for Image Classification and Face Recognition , 2010, ECCV.

[7]  Lei Zhang,et al.  Face recognition based on regularized nearest points between image sets , 2013, 2013 10th IEEE International Conference and Workshops on Automatic Face and Gesture Recognition (FG).

[8]  Robert Tibshirani,et al.  1-norm Support Vector Machines , 2003, NIPS.

[9]  Matti Pietikäinen,et al.  From still image to video-based face recognition: an experimental analysis , 2004, Sixth IEEE International Conference on Automatic Face and Gesture Recognition, 2004. Proceedings..

[10]  Hongdong Li,et al.  Kernel Methods on the Riemannian Manifold of Symmetric Positive Definite Matrices , 2013, 2013 IEEE Conference on Computer Vision and Pattern Recognition.

[11]  Liang-Tien Chia,et al.  Sparse Representation With Kernels , 2013, IEEE Transactions on Image Processing.

[12]  G. Baudat,et al.  Generalized Discriminant Analysis Using a Kernel Approach , 2000, Neural Computation.

[13]  Michael Elad,et al.  Efficient Implementation of the K-SVD Algorithm using Batch Orthogonal Matching Pursuit , 2008 .

[14]  Björn Stenger,et al.  A Framework for 3D Object Recognition Using the Kernel Constrained Mutual Subspace Method , 2006, ACCV.

[15]  Masashi Nishiyama,et al.  Recognizing Faces of Moving People by Hierarchical Image-Set Matching , 2007, 2007 IEEE Conference on Computer Vision and Pattern Recognition.

[16]  R. Tibshirani,et al.  Least angle regression , 2004, math/0406456.

[17]  Marwan Mattar,et al.  Labeled Faces in the Wild: A Database forStudying Face Recognition in Unconstrained Environments , 2008 .

[18]  Wen Gao,et al.  Manifold-Manifold Distance with application to face recognition based on image set , 2008, 2008 IEEE Conference on Computer Vision and Pattern Recognition.

[19]  Allen Y. Yang,et al.  Fast L1-Minimization Algorithms For Robust Face Recognition , 2010 .

[20]  Roman Rosipal,et al.  Overview and Recent Advances in Partial Least Squares , 2005, SLSFS.

[21]  Koby Crammer,et al.  Margin Analysis of the LVQ Algorithm , 2002, NIPS.

[22]  Masayuki Mukunoki,et al.  Set Based Discriminative Ranking for Recognition , 2012, ECCV.

[23]  Trevor Darrell,et al.  Face recognition with image sets using manifold density divergence , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05).

[24]  Hakan Cevikalp,et al.  Large margin classifiers based on affine hulls , 2010, Neurocomputing.

[25]  Wen Gao,et al.  Manifold–Manifold Distance and its Application to Face Recognition With Image Sets , 2012, IEEE Transactions on Image Processing.

[26]  Rama Chellappa,et al.  Dictionary-Based Face Recognition from Video , 2012, ECCV.

[27]  Ruiping Wang,et al.  Manifold Discriminant Analysis , 2009, 2009 IEEE Conference on Computer Vision and Pattern Recognition.

[28]  Johannes Stallkamp,et al.  Video-based Face Recognition on Real-World Data , 2007, 2007 IEEE 11th International Conference on Computer Vision.

[29]  Simon C. K. Shiu,et al.  Robust Kernel Representation With Statistical Local Features for Face Recognition , 2013, IEEE Transactions on Neural Networks and Learning Systems.

[30]  Thomas S. Huang,et al.  A Max-Margin Perspective on Sparse Representation-Based Classification , 2013, 2013 IEEE International Conference on Computer Vision.

[31]  Ken-ichi Maeda,et al.  Face recognition using temporal image sequence , 1998, Proceedings Third IEEE International Conference on Automatic Face and Gesture Recognition.

[32]  Rama Chellappa,et al.  Dictionary-Based Face Recognition Under Variable Lighting and Pose , 2012, IEEE Transactions on Information Forensics and Security.

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

[34]  Paul A. Viola,et al.  Robust Real-Time Face Detection , 2001, International Journal of Computer Vision.

[35]  Naftali Tishby,et al.  Margin based feature selection - theory and algorithms , 2004, ICML.

[36]  Josef Kittler,et al.  Discriminative Learning and Recognition of Image Set Classes Using Canonical Correlations , 2007, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[37]  Ajmal S. Mian,et al.  Face Recognition Using Sparse Approximated Nearest Points between Image Sets , 2012, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[38]  Jian Yang,et al.  Regularized Robust Coding for Face Recognition , 2012, IEEE Transactions on Image Processing.

[39]  Thomas F. Coleman,et al.  A Reflective Newton Method for Minimizing a Quadratic Function Subject to Bounds on Some of the Variables , 1992, SIAM J. Optim..

[40]  Allen Y. Yang,et al.  Robust Face Recognition via Sparse Representation , 2009, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[41]  Ralph Gross,et al.  The CMU Motion of Body (MoBo) Database , 2001 .

[42]  Peyman Milanfar,et al.  Face Verification Using the LARK Representation , 2011, IEEE Transactions on Information Forensics and Security.

[43]  Vladimir Pavlovic,et al.  Face tracking and recognition with visual constraints in real-world videos , 2008, 2008 IEEE Conference on Computer Vision and Pattern Recognition.

[44]  Chi-Ho Chan,et al.  An Evaluation of Video-to-Video Face Verification , 2010, IEEE Transactions on Information Forensics and Security.

[45]  Tal Hassner,et al.  Face recognition in unconstrained videos with matched background similarity , 2011, CVPR 2011.

[46]  Yifei Wang,et al.  Geometric Algorithms to Large Margin Classifier Based on Affine Hulls , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[47]  William J. Byrne,et al.  Convergence Theorems for Generalized Alternating Minimization Procedures , 2005, J. Mach. Learn. Res..

[48]  Stephen P. Boyd,et al.  An Interior-Point Method for Large-Scale $\ell_1$-Regularized Least Squares , 2007, IEEE Journal of Selected Topics in Signal Processing.

[49]  Hakan Cevikalp,et al.  Face recognition based on image sets , 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[50]  Rui Caseiro,et al.  Rolling Riemannian Manifolds to Solve the Multi-class Classification Problem , 2013, 2013 IEEE Conference on Computer Vision and Pattern Recognition.

[51]  Shiguang Shan,et al.  Image sets alignment for Video-Based Face Recognition , 2012, 2012 IEEE Conference on Computer Vision and Pattern Recognition.

[52]  David J. Kriegman,et al.  Video-based face recognition using probabilistic appearance manifolds , 2003, 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings..

[53]  David J. Crisp,et al.  A Geometric Interpretation of v-SVM Classifiers , 1999, NIPS.

[54]  Kilian Q. Weinberger,et al.  Distance Metric Learning for Large Margin Nearest Neighbor Classification , 2005, NIPS.

[55]  Lei Zhang,et al.  Metaface learning for sparse representation based face recognition , 2010, 2010 IEEE International Conference on Image Processing.

[56]  Dit-Yan Yeung,et al.  Locally Linear Models on Face Appearance Manifolds with Application to Dual-Subspace Based Classification , 2006, 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'06).

[57]  Urs Niesen,et al.  Adaptive Alternating Minimization Algorithms , 2007, IEEE Transactions on Information Theory.

[58]  Ji Zhu,et al.  Boosting as a Regularized Path to a Maximum Margin Classifier , 2004, J. Mach. Learn. Res..

[59]  Ajmal S. Mian,et al.  Sparse approximated nearest points for image set classification , 2011, CVPR 2011.

[60]  Masayuki Mukunoki,et al.  Collaboratively Regularized Nearest Points for Set Based Recognition , 2013, BMVC.