SELF-CALIBRATION CONSTRAINTS ON EUCLIDEAN BUNDLE ADJUSTMENT PARAMETERIZATION - Application to the 2 Views Case

Guillaume Gelabert, Michel Devy, Frédéric Lerasle

2009

Abstract

During the two last decades, many contributions have been proposed on 3D reconstruction from image sequences. Nevertheless few practical applications exist, especially using vision. We are concerned by the analysis of image sequences acquired during crash tests. In such tests, it is required to extract 3D measurements about motions of objects, generally identified by specific markings. With numerical cameras, it is quite simple to acquire video sequences, but it is very difficult to obtain from operators in charge of these acquisitions, the camera parameters and their relative positions when using a multicamera system. In this paper, we are interested on the simplest situation: two cameras observing the motion of an object of interest: the challenge consists in reconstructing the 3D model of this object, estimating in the same time, the intrinsic and extrinsic parameters of these cameras. So this paper copes with 3D Euclidean reconstruction with uncalibrated cameras: we recall some theoretical results in order to evaluate what are the possible estimations when using only two images acquired by two distinct perspective cameras. Typically it will be the two first images of our sequences. It is presented several contributions of the state of the art on these topics, and then results obtained from synthetic data, so that we could state on advantages and drawbacks of several parameter estimation strategies, based on the Sparse Bundle Adjustment and on the Levenberg-Marquardt optimization function.

References

  1. Kanatani, K., D.Morris, D.: Gauges and gauge transformations in 3-D reconstruction from a sequence of images. In Proc. 4th ACCV, (2000)1046-1051
  2. Pollefeys, M., Koch, R., Van Gool, L.: Self-calibration and metric reconstruction in spite of varying and unknown internal parameters. In Proc. 6th ICCV, (1998)90-96.
  3. Triggs, B.: Auto calibration and the Absolute Quadric. In Proc. IEEE Computer Vision and Pattern Recognition, (1997)609-614.
  4. Hartley, R.I.: Euclidean reconstruction from uncalibrated views. In: Mundy, J.L., Zisserman, A and Forsyth, D. (eds.): Applications of Invariance in Computer Vision. Lecture Notes in Computer Science, vol. 825. Springer-Verlag, Berlin Heidelberg New York (1993) 237-256
  5. Gill, P., Murray, W., Wright, M.: Practical Optimisation, Academic Press, New York, 1981.
  6. Horn, B. K. P.: Closed-form solution of absolute orientation using unit quaternion. In Journal of the Optical Society of America A, Vol. 4 (1987)629.
  7. Malis, E., Bartoli, A.: Euclidean Bundle Adjustment Independent on Intrinsic Parameters. Rapport de recherche INRIA, 4377 (2001)
  8. Hartley, H., Zisserman, A.: Multiple View Geometry in Computer Vision. Cambridge University Press (2000), 3rd printing (2006).
  9. Shih, S-W., Hung, Y-P., Lin, W-S.: Accuracy Analysis on the Estimation of Camera Parameters for Active Vision Systems. In Proc. 13th ICPR, (1996) 930.
  10. Grossman, E., Victor, J.S.: The Precision of 3D Reconstruction from Uncalibrated Views. In Proc. BMVC (1998) 115-124.
  11. Bougnoux, S.: From Projective to Euclidean Reconstruction Under Any Practical Situation, A Criticism of Self-Calibration. In Proc. 6th ICCV, (1998)790-796.
  12. Willson, R., Shafer, S.: What is the Center of the Image? In Proc. IEEE Computer Vision and Pattern Recognition (1993)670-671
  13. Hartley, R. I., Silpa-Anan, C.: Reconstruction from two views using approximate calibration. In Proc. 5th ACCV, vol. 1, (2002) 338-343.
  14. Triggs, B., McLauchlan, P., Hartley, R. I., Fitzgibbon, A.: Bundle Adjustment - A Modern Synthesis. In Visions Algorithms: Theory and Practice, Lecture Notes in Computer Science, vol 1983. Springer-Verlag, Berlin Heidelberg New York (2000) 298-372.
  15. Bartoli, A.: A Unified Framework for Quasi-Linear Bundle Adjustment. In Proc. 16th ICPR, vol.2 (2002) 560-563.
  16. Triggs, B.: Optimal estimation of matching constraints. In 3D Structure from Multiple Images of Large-Scale Environments. Lecture Notes in Computer Science, vol. 1506. Springer-Verlag, Berlin Heidelberg New York (1998) 63-77.
  17. Sturm, P.: Critical Motion Sequences for monocular selfcalibration and uncalibrated Euclidean Reconstruction. In Proc. ICCV, (1997)1100-1105.
  18. Sturm, P.: Critical Motion Sequences for Monocular SelfCalibration and Uncalibrated Euclidean Reconstruction. In Proc. IEEE Conference on Computer Vision and Pattern Recognition (1997)1100.
Download


Paper Citation


in Harvard Style

Gelabert G., Devy M. and Lerasle F. (2009). SELF-CALIBRATION CONSTRAINTS ON EUCLIDEAN BUNDLE ADJUSTMENT PARAMETERIZATION - Application to the 2 Views Case . In Proceedings of the Fourth International Conference on Computer Vision Theory and Applications - Volume 2: VISAPP, (VISIGRAPP 2009) ISBN 978-989-8111-69-2, pages 573-579. DOI: 10.5220/0001806205730579


in Bibtex Style

@conference{visapp09,
author={Guillaume Gelabert and Michel Devy and Frédéric Lerasle},
title={SELF-CALIBRATION CONSTRAINTS ON EUCLIDEAN BUNDLE ADJUSTMENT PARAMETERIZATION - Application to the 2 Views Case},
booktitle={Proceedings of the Fourth International Conference on Computer Vision Theory and Applications - Volume 2: VISAPP, (VISIGRAPP 2009)},
year={2009},
pages={573-579},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001806205730579},
isbn={978-989-8111-69-2},
}


in EndNote Style

TY - CONF
JO - Proceedings of the Fourth International Conference on Computer Vision Theory and Applications - Volume 2: VISAPP, (VISIGRAPP 2009)
TI - SELF-CALIBRATION CONSTRAINTS ON EUCLIDEAN BUNDLE ADJUSTMENT PARAMETERIZATION - Application to the 2 Views Case
SN - 978-989-8111-69-2
AU - Gelabert G.
AU - Devy M.
AU - Lerasle F.
PY - 2009
SP - 573
EP - 579
DO - 10.5220/0001806205730579