Skip to main content
Log in

Unsupervised detection of nonlinearity in motion using weighted average of non-extensive entropies

  • Original Paper
  • Published:
Signal, Image and Video Processing Aims and scope Submit manuscript

Abstract

Motion estimation and motion analysis have an important role to play for detecting abnormal motion in surveillance videos. In this paper, we propose to use the non-extensive entropy to detect any unnaturalness in the motion over correlated video frames since it has already been proved to represent the correlated textures successfully. To achieve this end, we utilize the temporal correlation property of motion vectors over three consecutive frames to detect any motion disturbance using a weighted average of the non-extensive entropies. It is proved by the experimental results on the state-of-the-art database that the non-extensive entropy is most apt for detecting any disturbance in the continuance of motion vectors in between frames. The advantage of our approach is that no training period or normalcy reference is required since a relative disturbance in the magnitudes of motion vectors over a three-frame window gives an alarm.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  1. Xiang, T., Gong, S.: Video behavior profiling for anomaly detection. IEEE Trans. PAMI 30(5), 893–908 (2008)

    Article  Google Scholar 

  2. Wang, X., Tieu, K., Grimson, E.: Unsupervised activity perception in crowded and complicated scenes using hierarchical Bayesian models. IEEE Trans. PAMI 31(3), 539–555 (2009)

    Article  Google Scholar 

  3. Ali, S., Shah, M.: Floor fields for tracking in high density crowd scenes. In: Proceedings of ECCV (2008)

  4. Liu, T., Zhang, H.-J., Qi, F.: A novel video key-frame extraction algorithm based on perceived motion energy model. IEEE Trans. Circuits Syst. Video Technol. 13(10), 1006–1013 (2003)

    Article  Google Scholar 

  5. Ma, Y.-F., Zhang, H.-J.: A new perceived motion based shot content representation. In: Proceedings of the IEEE International Conference on Image Processing (ICIP ’01), vol. 3, pp. 426–429, Thessaloniki, Greece (October 2001)

  6. Chen, C.-Y., Wang, J.-C., Wang, J.-F., Hu, Y.-H.: Motion entropy feature and its applications to event-based segmentation of sports video. EURASIP J. Adv. Signal Process. 2008, Article ID 460913, 8 pp

  7. Shi, Y., Gao, Y., Wang, R.: Real-time abnormal event detection in complicated scenes. In: Proceedings of the ICPR (2010)

  8. Susan, S., Hanmandlu, M.: A non-extensive entropy feature and its application to texture classification. Neurocomput. Elsevier Special Issue Image Feature Detect. Descr. (Article in press) (2012). doi: 10.1016/j.neucom.2012.08.059

  9. Shannon, C.E.: A mathematical theory of communication. Bell Syst. Tech. J. 27, 379–423 (1948)

    Article  MATH  MathSciNet  Google Scholar 

  10. Renyi, Alfred: On measures of entropy and information. Fourth Berkeley Symp. 1, 547–561 (1961)

    MathSciNet  Google Scholar 

  11. Tsallis, C., Abe, S., Okamoto, Y.: Non Extensive Statistical Mechanics and Its Applications, Lecture Notes in Physics. Springer, Berlin (2001)

  12. Albuquerque, M., Esquef, I.A., Mello, G., Albuquerque, M.P.: Image thresholding using Tsallis entropy. Pattern Recogn. Lett. 25, 1059–1065 (2004)

    Article  Google Scholar 

  13. Pal, N., Pal, S.: Entropy—a new definition and its applications. IEEE Trans. Syst. Man Cyber. 21(5), 1260–1270 (1991)

    Google Scholar 

  14. Varma, M., Zisserman, A.: A statistical approach to texture classification using single images. Int. J. Comput. Vis. 62(1–2), 61–81 (2005)

    Google Scholar 

  15. Wang, Y., Ostermann, J., Zhang, Y.Q.: Video Processing and Communications. Prentice Hall, Englewood Cliffs (2002)

  16. Mehran, R., Oyama, A., Shah, M.: Abnormal crowd behavior detection using social force model. In: Proceedings of the of CVPR (2009)

  17. Unusual event datasets of university of Minesota, from http://mha.cs.umn.edu/Movies/Crowd-Activity-All.avi

  18. Cong, Y., Yuan, J., Liu, J.: Sparse reconstruction cost for abnormal event detection. In: Proceedings of CVPR, pp. 3449–3456 (2011)

  19. Raghavendra, R., Bue, A.D., Cristani, M., Murino, V.: Optimizing interaction force for global anomaly detection in crowded scenes. In: Proceedings of IEEE International Conference on Computer Vision workshops, pp. 136–143 (2011)

  20. Babenko, B., Yang, M.-H., Belongie, S.: Visual tracking with online multiple instance learning. In: Proceedings of CVPR (2009)

  21. Kalal, Z., Matas, J., Mikolajczyk, K.: P-N learning: bootstrapping binary classifiers from unlabeled data by structural constraints. Proceedings of CVPR (2010)

  22. Fan, J., Shen, X., Wu, Y.: Scribble tracker: a matting-based approach for robust tracking. IEEE Trans. Pattern Anal. Mach. Intell. 34(8), 1633–1644 (2012)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Seba Susan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Susan, S., Hanmandlu, M. Unsupervised detection of nonlinearity in motion using weighted average of non-extensive entropies. SIViP 9, 511–525 (2015). https://doi.org/10.1007/s11760-013-0464-z

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11760-013-0464-z

Keywords

Navigation