Abstract
Sparse learning methods have drawn considerable attention in face recognition, and there are still some problems need to be further studied. For example, most of the conventional sparse learning methods concentrate only on a single resolution, which neglects the fact that the resolutions of real-world face images are variable when they are captured by different cameras. Although the multi-resolution dictionary learning (MRDL) method considers the problem of image resolution, it takes a lot of training time to learn a concise and reliable dictionary and neglects the local relationship of data. To overcome the above problems, we propose a locality-constrained collaborative representation with multi-resolution dictionary (LCCR-MRD) method for face recognition. First, we extend the traditional collaborative representation based classification (CRC) method to the multi-resolution dictionary case without dictionary learning. Second, the locality relationship characterized by the distance between test sample and training sample is used to learn weight of representation coefficient, and the similar sample is forced to make more contribution to representation. Last, LCCR-MRD has a closed-form solution, which makes it simple. Experiments on five widely-used face databases demonstrate that LCCR-MRD outperforms many state-of-art sparse learning methods. The Matlab codes of LCCR-MRD are publicly available at https://github.com/masterliuhzen/LCCR-MRD.
Z. Liu—The first author is a graduate student.
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References
Aharon, M., Elad, M., Bruckstein, A.M.: \(k\)-svd: an algorithm for designing overcomplete dictionaries for sparse representation. IEEE Trans. Signal Process. 54(11), 4311–4322 (2006)
Abdi, A., Rahmati, M., Ebadzadeh, M.E.: Entropy based dictionary learning for image classification. Pattern Recogn. 110, 107634 (2021)
Bai, T., Li, Y.F., Tang, Y.: Robust visual tracking with structured sparse representation appearance model. Pattern Recogn. 45(6), 2390–2404 (2012)
Li, B., Yuan, Z., Yeda, Z., Aihua, W.: Depth image super-resolution based on joint sparse coding. Pattern Recogn. Lett. 130, 21–29 (2020)
Cai, S., Zhang, L., Zuo, W., Feng, X.: A probabilistic collaborative representation based approach for pattern classification. In: IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 2950–2959 (2016)
Chen, Z., Wu, X., Kittler, J.: A sparse regularized nuclear norm based matrix regression for face recognition with contiguous occlusion. Pattern Recogn. Lett. 125, 494–499 (2019)
Frucci, M., Ramella, G., Baja, G.S.D.: Using resolution pyramids for watershed image segmentation. Image Vis. Comput. 25(6), 1021–1031 (2007)
Georghiades, A.S., Belhumeur, P.N., Kriegman, D.J.: From few to many: illumination cone models for face recognition under variable lighting and pose. IEEE Trans. Pattern Anal. Mach. Intell. 23(6), 643–660 (2001)
He, K., Zhang, X., Ren, S., Sun, J.: Deep residual learning for image recognition. In: Computer Vision and Pattern Recognition, CVPR, pp. 770–778 (2016)
Huang, G.B., Ramesh, M., Berg, T., Learned-Miller, E.: Labeled faces in the wild: a database for studying face recognition in unconstrained environments. Technical Report 07–49, University of Massachusetts, Amherst (October 2007)
Jiang, Z., Lin, Z., Davis, L.S.: Label consistent k-svd: learning a discriminative dictionary for recognition. IEEE Trans. Pattern Anal. Mach. Intell. 35(11), 2651–2664 (2013)
Kang, B., Zhu, W., Liang, D., Chen, M.: Robust visual tracking via nonlocal regularized multi-view sparse representation. Pattern Recogn. 88, 75–89 (2019)
Krizhevsky, A., Sutskever, I., Hinton, G.E.: Imagenet classification with deep convolutional neural networks. Neural Inf. Process. Syst. 141(5), 1097–1105 (2012)
Lee, K.C., Ho, J., Kriegman, D.J.: Acquiring linear subspaces for face recognition under variable lighting. IEEE Trans. Pattern Anal. Mach. Intell. 27(5), 684–698 (2005)
Luo, X., Xu, Y., Yang, J.: Multi-resolution dictionary learning for face recognition. Pattern Recogn. 93, 283–292 (2019)
MartĂnez, A., Benavente, R.: The AR face database: CVC Technical Report 24, pp. 1–8 (1998)
Zhang, Q., Li, B.: Discriminative k-svd for dictionary learning in face recognition. In: 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, pp. 2691–2698 (2010)
Dehkordi, R.A., Khosravi, H., Ahmadyfard, A.: Single image super resolution based on sparse representation using dictionaries trained with input image patches. IET Image Process. 14(8), 1587–1593 (2020)
Rong, Y., Xiong, S., Gao, Y.: Double graph regularized double dictionary learning for image classification. IEEE Trans. Image Process. 29, 7707–7721 (2020)
Samaria, F.S., Harter, A.C.: Parameterisation of a stochastic model for human face identification. In: Proceedings of 1994 IEEE Workshop on Applications of Computer Vision, pp. 138–142 (1994)
Shrivastava, A., Pillai, J.K., Patel, V.M., Chellappa, R.: Learning discriminative dictionaries with partially labeled data. In: 19th IEEE International Conference on Image Processing, pp. 3113–3116 (2012)
Sim, T., Baker, S., Bsat, M.: The CMU pose, illumination, and expression database. IEEE Trans. Pattern Anal. Mach. Intell. 25(12), 1615–1618 (2003)
Simonyan, K., Zisserman, A.: Very deep convolutional networks for large-scale image recognition, pp. 1–14 (2015). arXiv:1409.1556v6
Song, X., Chen, Y., Feng, Z., Hu, G., Zhang, T., Wu, X.: Collaborative representation based face classification exploiting block weighted LBP and analysis dictionary learning. Pattern Recogn. 88, 127–138 (2019)
Sun, J., Chen, Q., Sun, J., Zhang, T., Fang, W., Wu, X.: Graph-structured multitask sparsity model for visual tracking. Inf. Sci. 486, 133–147 (2019)
Wang, D., Kong, S.: A classification-oriented dictionary learning model: explicitly learning the particularity and commonality across categories. Pattern Recogn. 47(2), 885–898 (2014)
Wright, J., Yang, A.Y., Ganesh, A., Sastry, S.S., Ma, Y.: Robust face recognition via sparse representation. IEEE Trans. Pattern Anal. Mach. Intell. 31(2), 210–227 (2009)
Xu, Y., Zhong, Z., Yang, J., You, J., Zhang, D.: A new discriminative sparse representation method for robust face recognition via l2 regularization. IEEE Trans. Neural Netw. Learn. Syst. 28(10), 2233–2242 (2017)
Xu, Y., Li, Z., Zhang, B., Yang, J., You, J.: Sample diversity, representation effectiveness and robust dictionary learning for face recognition. Inf. Sci. 375, 171–182 (2017)
Yang, J., Wright, J., Huang, T.S., Ma, Y.: Image super-resolution via sparse representation. IEEE Trans. Image Process. 19(11), 2861–2873 (2010)
Yin, H.F., Wu, X.J.: A new feature fusion approach based on LBP and sparse representation and its application to face recognition. In: Multiple Classifier Systems, pp. 364–373 (2013)
Xu, Y., Li, Z., Tian, C., Yang, J.: Multiple vector representations of images and robust dictionary learning. Pattern Recogn. Lett 128, 131–136 (2019)
Zhang, L., Yang, M., Feng, X., Ma, Y., Zhang, D.: Collaborative representation based classification for face recognition. In: Computer Vision and Pattern Recognition, pp. 1–33 (2012)
Acknowledgments
This work was supported by the National Natural Science Foundation of China (62020106012, U1836218, 61672265), the 111 Project of Ministry of Education of China (B12018), and the Natural Science Foundation of Xiaogan, China (XGKJ2020010063).
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Liu, Z., Wu, XJ., Yin, H., Xu, T., Shu, Z. (2021). Locality-Constrained Collaborative Representation with Multi-resolution Dictionary for Face Recognition. In: Ma, H., et al. Pattern Recognition and Computer Vision. PRCV 2021. Lecture Notes in Computer Science(), vol 13019. Springer, Cham. https://doi.org/10.1007/978-3-030-88004-0_5
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