Joint Under and Over Water Calibration of a Swimmer Tracking System

Sebastian Haner, Linus Svärm, Erik Ask, Anders Heyden

Abstract

This paper describes a multi-camera system designed for capture and tracking of swimmers both above and below the surface of a pool. To be able to measure the swimmer’s position, the cameras need to be accurately calibrated. Images captured below the surface provide a number of challenges, mainly due to refraction and reflection effects at optical media boundaries. We present practical methods for intrinsic and extrinsic calibration of two sets of cameras, optically separated by the water surface, and for stitching panoramas allowing synthetic panning shots of the swimmer.

References

  1. Agarwal, S., Mierle, K., and Others (2012). Ceres solver. https://code.google.com/p/ceres-solver/.
  2. Agrawal, A., Ramalingam, S., Taguchi, Y., and Chari, V. (2012). A theory of multi-layer flat refractive geometry. In CVPR, pages 3346-3353. IEEE.
  3. Chang, Y. and Chen, T. (2011). Multi-view 3d reconstruction for scenes under the refractive plane with known vertical direction. In Proc. IEEE Int'l Conf. Computer Vision.
  4. Fischler, M. A. and Bolles, R. C. (1981). Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography. Commun. ACM, 24(6):381-395.
  5. Heikkila, J. and Silven, O. (1997). A four-step camera calibration procedure with implicit image correction. In Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR 7897), CVPR 7897, pages 1106-1, Washington, DC, USA. IEEE Computer Society.
  6. Jordt-Sedlazeck, A. and Koch, R. (2012). Refractive calibration of underwater cameras. In Fitzgibbon, A., Lazebnik, S., Perona, P., Sato, Y., and Schmid, C., editors, Computer Vision - ECCV 2012, volume 7576 of Lecture Notes in Computer Science, pages 846-859. Springer Berlin Heidelberg.
  7. Jordt-Sedlazeck, A. and Koch, R. (2013). Refractive structure-from-motion on underwater images. In Computer Vision (ICCV), 2013 IEEE International Conference on, pages 57-64.
  8. Kang, L., Wu, L., and Yang, Y.-H. (2012). Two-view underwater structure and motion for cameras under flat refractive interfaces. In Fitzgibbon, A. W., Lazebnik, S., Perona, P., Sato, Y., and Schmid, C., editors, ECCV (4), volume 7575 of Lecture Notes in Computer Science, pages 303-316. Springer.
  9. Kunz, C. and Singh, H. (2008). Hemispherical refraction and camera calibration in underwater vision. In OCEANS 2008, pages 1-7. IEEE.
  10. Nistér, D. (2004). A minimal solution to the generalised 3-point pose problem. In CVPR (1), pages 560-567.
  11. Treibitz, T., Schechner, Y. Y., Kunz, C., and Singh, H. (2012). Flat refractive geometry. IEEE Transactions on Pattern Analysis and Machine Intelligence, 34(1):51-65.
  12. Triggs, B., Mclauchlan, P., Hartley, R., and Fitzgibbon, A. (2000). Bundle adjustment - a modern synthesis. In Vision Algorithms: Theory and Practice, LNCS, pages 298-375. Springer Verlag.
  13. Yau, T., Gong, M., and Yang, Y.-H. (2013). Underwater camera calibration using wavelength triangulation. In Computer Vision and Pattern Recognition (CVPR), 2013 IEEE Conference on, pages 2499-2506.
  14. Zhang, Z. (1999). Flexible camera calibration by viewing a plane from unknown orientations. In Computer Vision (ICCV), 1999 IEEE International Conference on, pages 666-673.
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Paper Citation


in Harvard Style

Haner S., Svärm L., Ask E. and Heyden A. (2015). Joint Under and Over Water Calibration of a Swimmer Tracking System . In Proceedings of the International Conference on Pattern Recognition Applications and Methods - Volume 2: ICPRAM, ISBN 978-989-758-077-2, pages 142-149. DOI: 10.5220/0005183701420149


in Bibtex Style

@conference{icpram15,
author={Sebastian Haner and Linus Svärm and Erik Ask and Anders Heyden},
title={Joint Under and Over Water Calibration of a Swimmer Tracking System},
booktitle={Proceedings of the International Conference on Pattern Recognition Applications and Methods - Volume 2: ICPRAM,},
year={2015},
pages={142-149},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005183701420149},
isbn={978-989-758-077-2},
}


in EndNote Style

TY - CONF
JO - Proceedings of the International Conference on Pattern Recognition Applications and Methods - Volume 2: ICPRAM,
TI - Joint Under and Over Water Calibration of a Swimmer Tracking System
SN - 978-989-758-077-2
AU - Haner S.
AU - Svärm L.
AU - Ask E.
AU - Heyden A.
PY - 2015
SP - 142
EP - 149
DO - 10.5220/0005183701420149