Skip to main content

Self-calibration of a PTZ Camera Using New LMI Constraints

  • Conference paper
Computer Vision – ACCV 2012 (ACCV 2012)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 7727))

Included in the following conference series:

Abstract

In this paper, we propose a very reliable and flexible method for self-calibrating rotating and zooming cameras - generally referred to as PTZ (Pan-Tilt-Zoom) cameras. The proposed method employs a Linear Matrix Inequality (LMI) resolution approach and allows extra tunable constraints on the intrinsic parameters to be taken into account during the process of estimating these parameters. Furthermore, the considered constraints are simultaneously enforced in all views rather than in a single reference view. The results of our experiments show that the proposed approach allows for significant improvement in terms of accuracy and robustness when compared against state of the art methods.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Lalonde, M., Foucher, S., Gagnon, L., Pronovost, E., Derenne, M., Janelle, A.: A system to automatically track humans and vehicles with a ptz camera. In: Proc. SPIE, vol. 6575, p. 657502 (2007)

    Google Scholar 

  2. Sinha, S.N., Pollefeys, M.: Pan–tilt–zoom camera calibration and high-resolution mosaic generation. Computer Vision and Image Understanding 103, 170–183 (2006)

    Article  Google Scholar 

  3. Tanawongsuwan, R., Stoytchev, A., Essa, I.A.: Robust tracking of people by a mobile robotic agent (1999)

    Google Scholar 

  4. Zhang, Z.: A flexible new technique for camera calibration. IEEE Transactions on Pattern Analysis and Machine Intelligence 22, 1330–1334 (2000)

    Article  Google Scholar 

  5. Sturm, P.: Self-calibration of a moving zoom-lens camera by pre-calibration. Image and Vision Computing 15, 583–589 (1997)

    Article  Google Scholar 

  6. Faugeras, O., Luong, Q.T., Maybank, S.: Camera Self-Calibration: Theory and Experiments. In: Sandini, G. (ed.) ECCV 1992. LNCS, vol. 588, pp. 321–334. Springer, Heidelberg (1992)

    Chapter  Google Scholar 

  7. Agapito, L., Hayman, E., Reid, I.: Self-calibration of rotating and zooming cameras. International Journal of Computer Vision 45, 107–127 (2001)

    Article  MATH  Google Scholar 

  8. Boyd, S., El Ghaoui, L., Feron, E., Balakrishnan, V.: Linear Matrix Inequalities in System and Control Theory. Studies in Applied Mathematics, vol. 15. SIAM, Philadelphia (1994)

    Book  MATH  Google Scholar 

  9. Du, F., Brady, M.: Self-calibration of the intrinsic parameters of cameras for active vision systems. In: Proceedings of the IEEE Computer Society Conference on CVPR 1993, pp. 477–482. IEEE (1993)

    Google Scholar 

  10. Basu, A.: Active calibration: Alternative strategy and analysis. In: Proceedings CVPR 1993, pp. 495–500. IEEE (1993)

    Google Scholar 

  11. Hartley, R.I.: Self-calibration of stationary cameras. International Journal of Computer Vision 22, 5–23 (1997)

    Article  Google Scholar 

  12. Stein, G.P.: Accurate internal camera calibration using rotation, with analysis of sources of error. In: ICCV, pp. 230–236. IEEE (1995)

    Google Scholar 

  13. Ji, Q., Dai, S.: Self-calibration of a rotating camera with a translational offset. IEEE Transactions on Robotics and Automation 20, 1–14 (2004)

    Article  MATH  Google Scholar 

  14. Li, H., Shen, C.: An lmi approach for reliable ptz camera self-calibration. In: Proceedings of the IEEE International Conference on Video and Signal Based Surveillance, AVSS 2006. IEEE Computer Society, Washington, DC (2006)

    Google Scholar 

  15. Agrawal, M., Davis, L.S.: Camera calibration using spheres: A semi-definite programming approach. In: IEEE International Conference on Computer Vision, vol. 2 (2003)

    Google Scholar 

  16. Agrawal, M.: On automatic determination of varying focal lengths using semidefinite programming. In: Proceedings IEEE International Conference on Image Processing, Singapore (2004)

    Google Scholar 

  17. Willson, R., Shafer, S.: What is the center of the image? Journal of the Optical Society of America A 11, 2946–2955 (1994)

    Article  Google Scholar 

  18. Hartley, R.I., Kaucic, R.: Sensitivity of Calibration to Principal Point Position. In: Heyden, A., Sparr, G., Nielsen, M., Johansen, P. (eds.) ECCV 2002, Part II. LNCS, vol. 2351, pp. 433–446. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  19. Bouguet, J.Y.: Camera calibration toolbox for Matlab (2008)

    Google Scholar 

  20. John, B., Henry, A.: Issues on the geometry of central catadioptric image formation. In: CVPR, pp. 422–427 (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Rameau, F., Habed, A., Demonceaux, C., Sidibé, D., Fofi, D. (2013). Self-calibration of a PTZ Camera Using New LMI Constraints. In: Lee, K.M., Matsushita, Y., Rehg, J.M., Hu, Z. (eds) Computer Vision – ACCV 2012. ACCV 2012. Lecture Notes in Computer Science, vol 7727. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37447-0_23

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-37447-0_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37446-3

  • Online ISBN: 978-3-642-37447-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics