Abstract
Foreground detection is a fundamental task in video processing. Recently, many background subspace estimation based foreground detection methods have been proposed. In this paper, a sparse error compensation based incremental principal component analysis method, which robustly updates background subspace and estimates foreground, is proposed for foreground detection. There are mainly two notable features in our method. First, a sparse error compensation process via a probability sampling procedure is designed for subspace updating, which reduces the interference of undesirable foreground signal. Second, the proposed foreground detection method could operate without an initial background subspace estimation, which enlarges the application scope of our method. Extensive experiments on multiple real video sequences show the superiority of our method.
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References
Bouwmans, T.: Traditional and recent approaches in background modeling for foreground detection: an overview. Comput. Sci. Rev. 11, 31–66 (2014)
Boyd, S., Parikh, N., Chu, E., Peleato, B., Eckstein, J.: Distributed optimization and statistical learning via the alternating direction method of multipliers. Found. Trends Mach. Learn. 3(1), 1–122 (2011)
Brand, M.: Incremental singular value decomposition of uncertain data with missing values. In: Heyden, A., Sparr, G., Nielsen, M., Johansen, P. (eds.) ECCV 2002, Part I. LNCS, vol. 2350, pp. 707–720. Springer, Heidelberg (2002)
Candès, E., Li, X., Ma, Y., Wright, J.: Robust principal component analysis? J. ACM (JACM) 58(3), 11 (2011)
Guo, X., Cao, X.: Speeding up low rank matrix recovery for foreground separation in surveillance videos. In: IEEE International Conference on Multimedia and Expo (ICME 2014), pp. 1–6 July 2014
Hall, P., Marshall, D., Martin, R.: Adding and subtracting eigenspaces with eigenvalue decomposition and singular value decomposition. Image Vis. Comput. 20(13), 1009–1016 (2002)
He, J., Balzano, L., Szlam, A.: Incremental gradient on the grassmannian for online foreground and background separation in subsampled video. In: IEEE Conference on Computer Vision and Pattern Recognition (CVPR 2012) pp. 1568–1575. IEEE (2012)
Levey, A., Lindenbaum, M.: Sequential karhunen-loeve basis extraction and its application to images. IEEE Trans. Image Process. 9(8), 1371–1374 (2000)
Li, L., Huang, W., Gu, I.H., Tian, Q.: Statistical modeling of complex backgrounds for foreground object detection. IEEE Trans. Image Process. 13(11), 1459–1472 (2004)
Lin, Z., Chen, M., Ma, Y.: The augmented lagrange multiplier method for exact recovery of corrupted low-rank matrices. arXiv preprint. arXiv:1009.5055 (2010)
Lin, Z., Liu, R., Su, Z.: Linearized alternating direction method with adaptive penalty for low-rank representation. Adv. Neural Inf. Process. Sys. 24, 612–620 (2011). Curran Associates, Inc
Lin, Z., Ganesh, A., Wright, J., Wu, L., Chen, M., Ma, Y.: Fast convex optimization algorithms for exact recovery of a corrupted low-rank matrix. Comput. Adv. Multi Sens. Adapt. Process. (CAMSAP) 61, 199 (2009)
Oliver, N., Rosario, B., Pentland, A.: A bayesian computer vision system for modeling human interactions. In: International Conference on Vision Systems (1999)
Qiu, C., Vaswani, N.: Real-time robust principal components pursuit. In: 2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton), pp. 591–598. IEEE (2010)
Qiu, C., Vaswani, N.: Reprocs: A missing link between recursive robust pca and recursive sparse recovery in large but correlated noise. arXiv preprint. arXiv:1106.3286 (2011)
Ross, D.A., Lim, J., Lin, R.S., Yang, M.H.: Incremental learning for robust visual tracking. Int. J. Comput. Vision 77(1–3), 125–141 (2008)
Wang, L., Wang, L., Wen, M., Zhuo, Q., Wang, W.: Background subtraction using incremental subspace learning. In: IEEE International Conference on Image Processing (ICIP 2007), vol. 5, pp. V - 45–V - 48, September 2007
Xue, G., Song, L., Sun, J.: Foreground estimation based on linear regression model with fused sparsity on outliers. IEEE Trans. Circuits Syst. Video Techn. 23(8), 1346–1357 (2013)
Xue, G., Song, L., Sun, J., Zhou, J.: Foreground detection: Combining background subspace learning with object smoothing model. In: IEEE International Conference on Multimedia and Expo (ICME 2013), pp. 1–6. IEEE (2013)
Zhou, T., Tao, D.: Godec: Randomized low-rank and sparse matrix decomposition in noisy case. In: Proceedings of the 28th International Conference on Machine Learning (ICML-2011), pp. 33–40 (2011)
Acknowledgements
This work was supported in part by the National Natural Science Foundation of China under Grant No.61273273, 61175096 and 61271374, the Specialized Fund for Joint Bulding Program of Beijing Municipal Education Commission, and the Research Fund for Doctoral Program of Higher Education of China under Grant No. 20121101110043.
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Qin, M., Lu, Y., Di, H., Zhou, T. (2015). A Sparse Error Compensation Based Incremental Principal Component Analysis Method for Foreground Detection. In: Ho, YS., Sang, J., Ro, Y., Kim, J., Wu, F. (eds) Advances in Multimedia Information Processing -- PCM 2015. PCM 2015. Lecture Notes in Computer Science(), vol 9314. Springer, Cham. https://doi.org/10.1007/978-3-319-24075-6_23
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DOI: https://doi.org/10.1007/978-3-319-24075-6_23
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