Skip to main content
Log in

Visual tracking of resident space objects via an RFS-based multi-Bernoulli track-before-detect method

  • Original Paper
  • Published:
Machine Vision and Applications Aims and scope Submit manuscript

Abstract

In this paper, we propose a fast and reliable track-before-detect approach to simultaneously detect, track, and identify an unknown and variable number of resident space objects (RSOs) without any prior information and any explicit detection, which leads to better space domain awareness. Specifically, we use the point spread function concept to propose a separable likelihood function as the observation model in the random finite set-based multi-Bernoulli filtering framework. This framework clearly distinguishes RSOs from any counterfeit objects and detects and tracks them immediately after their respective appearance in background cluttered telescope imagery data. The extensive experimental results on the TAOS dataset demonstrate the robustness of the proposed method in detecting and tracking RSOs with the average optimal subpattern assignment localization error less than 2 pixels in image sequences with the signal to noise ratio as low as 9 dB and under the conditions of varying illumination and occlusion.

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

Similar content being viewed by others

References

  1. Buzzi, S., Lops, M., Venturino, L., Ferri, M.: Track-before-detect procedures in a multi-target environment. IEEE Trans. Aerosp. Electron. Syst. 44(3), 1135–1150 (2008)

    Article  Google Scholar 

  2. Cox, I.J., Hingorani, S.L.: An efficient implementation of reid’s multiple hypothesis tracking algorithm and its evaluation for the purpose of visual tracking. IEEE Trans. Pattern Anal. Mach. Intell. 18(2), 138–150 (1996)

    Article  Google Scholar 

  3. Czyz, J., Ristic, B., Macq, B.: A particle filter for joint detection and tracking of color objects. Image Vis. Comput. 25(8), 1271–1281 (2007)

    Article  Google Scholar 

  4. Flewelling, B., Sease, B.: Computer vision techniques applied to space object detect, track, id, and characterize. Technical report, Air Force Research Lab Kirtland AFB NM (2014)

  5. Fujimoto, K., Uetsuhara, M., Yanagisawa, T.: Statistical track-before-detect methods applied to faint optical observations of resident space objects. In: Proceedings of the Advanced Maui Optical and Space Surveillance Technical Conference (2015)

  6. Goodman, I.R., Mahler, R.P., Nguyen, H.T.: Mathematics of Data Fusion, vol. 37. Springer, Berlin (2013)

    MATH  Google Scholar 

  7. Hoseinnezhad, R., Vo, B.N., Vo, B.T.: Visual tracking in background subtracted image sequences via multi-bernoulli filtering. IEEE Trans. Signal Process. 61(2), 392–397 (2013)

    Article  MathSciNet  Google Scholar 

  8. Hoseinnezhad, R., Vo, B.N., Vo, B.T., Suter, D.: Visual tracking of numerous targets via multi-Bernoulli filtering of image data. Pattern Recognit. 45(10), 3625–3635 (2012)

    Article  Google Scholar 

  9. Isard, M., MacCormick, J.: Bramble: a Bayesian multiple-blob tracker. In: Proceedings of the International Conference on Computer Vision (ICCV), vol. 2, pp. 34–41. IEEE (2001)

  10. Karttunen, H., Kröger, P., Oja, H., Poutanen, M., Donner, K.J.: Fundamental Astronomy. Springer, Berlin (2016)

    Google Scholar 

  11. Koblick, D., Goldsmith, A., Klug, M., Mangus, P., Flewelling, B., Jah, M., Shanks, J., Piña, R., Stauch, J., Baldwin, J.: Ground optical signal processing architecture for contributing space-based SSA sensor data. Technical report, Air Force Research Lab Kirtland AFB NM (2014)

  12. Kristan, M., Perš, J., Perše, M., Kovačič, S.: Closed-world tracking of multiple interacting targets for indoor-sports applications. Comput. Vis. Image Underst. 113(5), 598–611 (2009)

    Article  Google Scholar 

  13. Mahler, R.: Phd filters of higher order in target number. IEEE Trans. Aerosp. Electr. Syst. 43(4), 1523–1543 (2007)

    Article  Google Scholar 

  14. Mahler, R.P.: Multitarget bayes filtering via first-order multitarget moments. IEEE Trans. Aerosp. Electron. Syst. 39(4), 1152–1178 (2003)

    Article  Google Scholar 

  15. Mahler, R.P.: Statistical Multisource–Multitarget Information Fusion. Artech House, Inc, Norwood (2007)

    MATH  Google Scholar 

  16. Mahler, R.P.: Advances in Statistical Multisource–Multitarget Information Fusion. Artech House, Norwood (2014)

    MATH  Google Scholar 

  17. Murphy, T.S., Holzinger, M.J., Flewelling, B.: Orbit determination for partially understood object via matched filter bank. In: AAS/AIAA Astrodynamics Specialists Meeting (2015)

  18. Nummiaro, K., Koller-Meier, E., Van Gool, L.: Object tracking with an adaptive color-based particle filter. Pattern Recognit. 2449, 353–360 (2002)

    MATH  Google Scholar 

  19. Okuma, K., Taleghani, A., De Freitas, N., Little, J.J., Lowe, D.G.: A boosted particle filter: multitarget detection and tracking. In: European Conference on Computer Vision, pp. 28–39. Springer (2004)

  20. Papi, F., Vo, B.N., Vo, B.T., Fantacci, C., Beard, M.: Generalized labeled multi-Bernoulli approximation of multi-object densities. IEEE Trans. Signal Process. 63(20), 5487–5497 (2015)

    Article  MathSciNet  Google Scholar 

  21. Pérez, P., Hue, C., Vermaak, J., Gangnet, M.: Color-based probabilistic tracking. In: European Conference on Computer Vision, pp. 661–675. Springer (2002)

  22. Reid, D.: An algorithm for tracking multiple targets. IEEE Trans. Autom. Control 24(6), 843–854 (1979)

    Article  Google Scholar 

  23. Reuter, S., Vo, B.T., Vo, B.N., Dietmayer, K.: The labeled multi-Bernoulli filter. IEEE Trans. Signal Process. 62(12), 3246–3260 (2014)

    Article  MathSciNet  Google Scholar 

  24. Schildknecht, T., Ploner, M., Hugentobler, U.: The search for debris in GEO. Adv. Space Res. 28(9), 1291–1299 (2001)

    Article  Google Scholar 

  25. Schuhmacher, D., Vo, B.T., Vo, B.N.: A consistent metric for performance evaluation of multi-object filters. IEEE Trans. Signal Process. 56(8), 3447–3457 (2008)

    Article  MathSciNet  Google Scholar 

  26. Uetsuhara, M., Ikoma, N.: Faint debris detection by particle based track-before-detect method. In: Proceedings of the Advanced Maui Optical and Space Surveillance Technologies Conference (2014)

  27. Vermaak, J., Maskell, S., Briers, M., Pérez, P.: Bayesian visual tracking with existence process. In: Proceedings of the International Conference on Image Processing (ICIP), vol. 1, pp. I–721. IEEE (2005)

  28. Vo, B.N., Vo, B.T., Pham, N.T., Suter, D.: Joint detection and estimation of multiple objects from image observations. IEEE Trans. Signal Process. 58(10), 5129–5141 (2010)

    Article  MathSciNet  Google Scholar 

  29. Vo, B.T., Vo, B.N.: Labeled random finite sets and multi-object conjugate priors. IEEE Trans. Signal Process. 61(13), 3460–3475 (2013)

    Article  MathSciNet  Google Scholar 

  30. Vo, B.T., Vo, B.N., Cantoni, A.: Analytic implementations of the cardinalized probability hypothesis density filter. IEEE Trans. Signal Process. 55(7), 3553–3567 (2007)

    Article  MathSciNet  Google Scholar 

  31. Vo, B.T., Vo, B.N., Cantoni, A.: The cardinality balanced multi-target multi-Bernoulli filter and its implementations. IEEE Trans. Signal Process. 57(2), 409–423 (2009)

    Article  MathSciNet  Google Scholar 

  32. Vo, B.T., Vo, B.N., Hoseinnezhad, R., Mahler, R.P.: Robust multi-Bernoulli filtering. IEEE J. Sel. Top. Signal Process. 7(3), 399–409 (2013)

    Article  Google Scholar 

  33. Yanagisawa, T., Kurosaki, H., Oda, H., Tagawa, M.: Ground-based optical observation system for LEO objects. Adv. Space Res. 56(3), 414–420 (2015)

    Article  Google Scholar 

  34. Yanagisawa, T., Nakajima, A., Kimura, T.: The stacking method for detection of small GEO debris and moving objects. Proc. Int. Symp. Space Technol. Sci. 23, 2324–2329 (2002)

    Google Scholar 

  35. Yang, M., Yu, T., Wu, Y.: Game-theoretic multiple target tracking. In: Proceedings of the International Conference on Computer Vision (ICCV), pp. 1–8. IEEE (2007)

Download references

Acknowledgements

The authors would like to thank Dr. Kohei Fujimoto for providing the dataset and his constructive suggestions during the planning and development of this research work.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mohammadreza Javanmardi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Javanmardi, M., Qi, X. Visual tracking of resident space objects via an RFS-based multi-Bernoulli track-before-detect method. Machine Vision and Applications 29, 1191–1208 (2018). https://doi.org/10.1007/s00138-018-0963-6

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00138-018-0963-6

Keywords

Navigation