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Generic Self-calibration of Central Cameras from Two Rotational Flows

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Abstract

We address the self-calibration of a smooth generic central camera from only two dense rotational flows produced by rotations of the camera about two unknown linearly independent axes passing through the camera centre. We give a closed-form theoretical solution to this problem, and we prove that it can be solved exactly up to a linear orthogonal transformation ambiguity. Using the theoretical results, we propose an algorithm for the self-calibration of a generic central camera from two rotational flows.

In order to solve the self-calibration problem using real images, we also study the computation of dense optical flows from image sequences acquired by the rotation of a smooth generic central camera. We propose a method for the computation of dense smooth generic flows from rotational camera motions using splines. The proposed methods are validated using both simulated and real image sequences.

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References

  • Barron, J. L., Fleet, D. J., & Beauchemin, S. S. (1994). Performance of optical flow techniques. International Journal of Computer Vision, 12(1), 43–77.

    Article  Google Scholar 

  • Barreto, J. P. (2006). A unifying geometric representation for central projection systems. Computer Vision and Image Understanding, 103(3), 208–217.

    Article  Google Scholar 

  • Chan, T. F., & Mulet, P. (1999). On the convergence of the lagged diffusivity fixed point method in total variation image restoration. SIAM Journal on Numerical Analysis, 36(2), 354–367.

    Article  MathSciNet  Google Scholar 

  • Dunne, A., Mallon, J., & Whelan, P. (2007). Efficient generic calibration method for general cameras with single centre of projection. In Proc. ICCV (pp. 1–8).

  • Espuny, F. (2007). A closed-form solution for the generic self-calibration of central cameras from two rotational flows. In Proc. VISAPP (Vol. 1, pp. 26–31).

  • Espuny, F., & Burgos Gil, J.I. (2008). Generic self-calibration of central cameras from two “real” rotational flows. In Proc. OMNIVIS.

  • Geyer, G., & Daniilidis, K. (2000). A unifying theory for central panoramic systems and practical applications. In Proc. ECCV (Vol. 2, pp. 445–461).

  • Grossberg, M. D., & Nayar, S. K. (2001). A general imaging model and a method for finding its parameters. In Proc. ICCV (Vol. 2, pp. 108–115).

  • Grossmann, E., Lee, E. J., Hislop, P., Nistér, D., & Stewénius, H. (2006). Are two rotational flows sufficient to calibrate a smooth non-parametric sensor? In Proc. CVPR (Vol. 1, pp. 1222–1229).

  • Horn, B., & Schunck, B. (1981). Determining optical flow. Artificial Intelligence, 17, 185–203.

    Article  Google Scholar 

  • Lhuillier, M. (2006). Effective and generic structure from motion using angular error. In Proc. ICPR (Vol. 1, pp. 67–70).

  • Nistér, D., Stewénius, H., & Grossmann, E. (2005). Non-parametric self-calibration. In Proc. ICCV (Vol. 1, pp. 120–127).

  • Pless, R. (2003). Using many cameras as one. In Proc. CVPR (Vol. 2, pp. 587–593).

  • Ramalingam, S., Lodha, S. K., & Sturm, P. (2004). A generic structure-from-motion algorithm for cross-camera scenarios. In Proc. OMNIVIS (pp. 175–186).

  • Ramalingam, S., Sturm, P., & Lodha, S. K. (2005). Towards generic self-calibration of central cameras. In Proc. OMNIVIS.

  • Ramalingam, S., Sturm, P., & Lodha, S. K. (2010). Generic self-calibration of central cameras. Computer Vision and Image Understanding, 114(2), 210–219.

    Article  Google Scholar 

  • Sturm, P., & Ramalingam, S. (2004). A generic concept for camera calibration. In Proc. ECCV (Vol. 2, pp. 1–13).

  • Ying, X., & Hu, Z. (2004). Can we consider central catadioptric cameras and fisheye cameras within a unified imaging model? In Proc. ECCV (Vol. 1, pp. 442–455).

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Authors and Affiliations

  1. Dept. d’Àlgebra i Geometria, Universitat de Barcelona, Gran Via de les Corts Catalanes 585, 08007, Barcelona, Spain

    Ferran Espuny

  2. Science Faculty, CRM, UAB, 08193, Bellaterra, Barcelona, Spain

    José I. Burgos Gil

Authors
  1. Ferran Espuny
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  2. José I. Burgos Gil
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Corresponding author

Correspondence to Ferran Espuny.

Additional information

This research was financially supported by the Spanish projects MTM2006-14234-C02-01 and MTM2009-14163-C02-01.

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Espuny, F., Burgos Gil, J.I. Generic Self-calibration of Central Cameras from Two Rotational Flows. Int J Comput Vis 91, 131–145 (2011). https://doi.org/10.1007/s11263-010-0335-9

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  • DOI: https://doi.org/10.1007/s11263-010-0335-9

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