Abstract
Trajectory analysis plays a key role in human activity recognition and video surveillance. This paper proposes a new approach based on modeling trajectories using a bank of vector (velocity) fields. We assume that each trajectory is generated by one of a set of fields or by the concatenation of trajectories produced by different fields. The proposed approach constitutes a space-varying framework for trajectory modeling and is able to discriminate among different types of motion regimes. Furthermore, the vector fields can be efficiently learned from observed trajectories using an expectation-maximization algorithm. An experiment with real data illustrates the promising performance of the method.
This work was supported by Fundação para a Ciência e a Tecnologia (ISR/IST plurianual funding) through the POS Conhecimento Program which includes FEDER funds.
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Agarwal, A., Triggs, B.: Tracking articulated motion with piecewise learned dynamical models. In: Pajdla, T., Matas, J(G.) (eds.) ECCV 2004. LNCS, vol. 3023, pp. 54–65. Springer, Heidelberg (2004)
Ali, S., Shah, M.: A Lagrangian particle dynamics approach for crowd flow segmentation and stability analysis. In: IEEE Conf. Comp. Vision and Patt. Rec., Minneapolis (2007)
Boiman, O., Irani, M.: Detecting irregularities in images and in video. In: IEEE Int. Conf. on Comp. Vision, Beijing, China (2005)
Boult, T., Micheals, R., Gao, X., Eckmann, M.: Into the woods: Visual surveillance of non-cooperative camouflaged targets in complex outdoor settings. Proc. of the IEEE 89(10), 1382–1402 (2001)
Dierchx, P.: Curve and Surface Fitting with Splines. Oxford University Press, Oxford (1993)
Duchi, J., Shalev-Shwartz, S., Singer, Y., Chandra, T.: Efficient projections onto the ℓ1-ball for learning in high dimensions. In: Int. Conf. on Machine Learning, Helsinki, Finland (2008)
Duong, T., Bui, H., Phung, D., Venkatesh, S.: Activity recognition and abnormality detection with the switching hidden semi-Markov model. In: IEEE Conf. Comp. Vision and Patt. Rec., San Diego, CA (2005)
Fu, Z., Hu, W., Tan, T.: Similarity based vehicle trajectory clustering and anomaly detection. In: IEEE Int. Conf. on Image Proc., Genoa, Italy (2005)
Hu, W., Tan, T., Wang, L., Maybank, S.: A survey on visual surveillance of object motion and behaviors. IEEE Trans. Systems, Man, and Cybern. (Part C) 34(3), 334–352 (2004)
Johnson, N., Hogg, D.C.: Learning the distribution of object trajectories for event recognition. Image and Vision Computing 14, 583–592 (1996)
Junejo, I., Javed, O., Shah, M.: Multi feature path modeling for video surveillance. In: Int. Conf. on Patt. Rec., Cambridge, UK (2004)
Nascimento, J., Figueiredo, M., Marques, J.: Independent increment processes for human motion recognition. Comp. Vision & Image Underst. 109(2), 126–138 (2008)
Nocedal, J., Wright, S.: Numerical Optimization. Springer, New York (2006)
Oliver, N., Rosario, B., Pentland, A.: A Bayesian computer vision system for modeling human interactions. IEEE Trans. Patt. Anal. Mach. Intell. 22(8), 831–843 (2000)
Pierobon, M., Marcon, M., Sarti, A., Tubaro, S.: Clustering of human actions using invariant body shape descriptor and dynamic time warping. In: IEEE Conf. on Adv. Video and Sig. Based Surv., pp. 22–27 (2005)
Rasmussen, C., Williams, C.: Gaussian Processes for Machine Learning. The MIT Press, Cambridge (2006)
Wang, X., Ma, K., Ng, G., Grimson, E.: Trajectory analysis and semantic region modeling using a nonparametric Bayesian model. In: IEEE Conf. on Comp. Vision and Patt. Rec., Anchorage (2008)
Wang, X., Tieu, K., Grimson, E.: Learning semantic scene models by trajectory analysis. In: Eur. Conf. on Comp. Vision, Graz, Austria (2006)
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Nascimento, J.C., Figueiredo, M.A.T., Marques, J.S. (2009). Trajectory Modeling Using Mixtures of Vector Fields. In: Araujo, H., Mendonça, A.M., Pinho, A.J., Torres, M.I. (eds) Pattern Recognition and Image Analysis. IbPRIA 2009. Lecture Notes in Computer Science, vol 5524. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02172-5_7
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DOI: https://doi.org/10.1007/978-3-642-02172-5_7
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