A Head-Eye Calibration Technique Using Image Rectification

영상 교정을 이용한 헤드-아이 보정 기법

  • Published : 2000.08.01

Abstract

Head-eye calibration is a process for estimating the unknown orientation and position of a camera with respect to a mobile platform, such as a robot wrist. We present a new head-eye calibration technique which can be applied for platforms with rather limited motion capability In particular, the proposed calibration technique can be applied to find the relative orientation of a camera mounted on a linear translation platform which does not have rotation capability. The algorithm find the rotation using a calibration data obtained from pure Translation of a camera along two different axes We have derived a calibration algorithm exploiting the rectification technique in such a way that the rectified images should satisfy the epipolar constraint. We present the calibration procedure for both the rotation and the translation components of a camera relative to the platform coordinates. The efficacy of the algorithm is demonstrated through simulations and real experiments.

헤드-아이 보정은 로봇과 같이 이동 가능한 플랫폼상에 장착된 카메라의 방향과 위치를 추정하는 과정이다. 본 논문에서는 다소 제한적인 이동 자유도를 가진 플랫폼에 대해 적용할 수 있는 새로운 헤드-아이 보정 기법을 제시한다. 제안된 보정 기법은 특히 회전 자유도가 없는 선형 플랫폼 위에 장착된 카메라의 상대적인 회전 방향을 구하는데 적용될 수 있다. 서로 다른 두 개의 축 상에서의 순수한 천이(translation) 이동에 의해 얻어진 보정 데이터를 이용하여 회전 방향을 구하는 본 알고리듬은 교정된 스테레오 영상은 epipolar 조건을 만족시켜야 한다는 성질을 이용하여 유도되었다. 본 논문에서는 플랫폼 좌표계상에서의 카메라의 회전 및 천이 파라미터를 구하는 알고리듬을 제시하고, 모의 및 실제 실험 결과를 통해 본 알고리듬의 유효성을 검증한다.

Keywords

References

  1. Y. Aloimonos(Ed.), Active Perception, Lawrence Erlbaum Associates, 1993
  2. N. Ayache and C. Hansen, 'Rectification of images for binocular and trinocular stereovision,' Proc. Int. Conf. Patt. Recog., pp. 11-16, 1988 https://doi.org/10.1109/ICPR.1988.28160
  3. R.C. Bolles, H.H. Baker, and D.H. Marimont, 'Epipolar plane analysis: An approach to determining structure from motion,' Int. J. Comput. Vis., vol. 1, pp. 7-55, 1987 https://doi.org/10.1007/BF00128525
  4. A. K. Dalmia and M. Trivedi, 'High-speed extraction of 3D structure of selectable quality using a translating camera,' Comput. Vis. and Image Understanding., vol. 64, pp. 97-110, 1996 https://doi.org/10.1006/cviu.1996.0047
  5. O. D. Faugeras, Three-Dimensional Computer Vision: A Geometric Viewpoint, MIT Press, 1993
  6. R. Hartley, 'In defense of the eight-point algorithm,' IEEE Trans. Patt. Anal. Mach. Intell., vol. 19, pp. 580-593, 1997 https://doi.org/10.1109/34.601246
  7. R. Horaud, F. Domaika, B. Boufama, and R. Mohr, 'Self calibration of a stereo head mounted onto a robot arm,' Proc. Third European Conf. Comput. Vis., pp. 455-462, 1994 https://doi.org/10.1007/3-540-57956-7_50
  8. M. Li and D. Betsis, 'Head-eye calibration,' Proc. Int. Conf. Comput. Vis., pp.40-45, 1995 https://doi.org/10.1109/ICCV.1995.466809
  9. C. Loop and Z. Zhang, 'Computing rectifying homographies for stereo vision,' Proc. IEEE Conf. Computer Vision and Pattern Recog., pp. 125-131, 1999 https://doi.org/10.1109/CVPR.1999.786928
  10. S. D. Ma, 'A self-calibration technique for active vision systems,' IEEE Trans. Robotics Automat., vol. 12, pp. 114-120, 1996 https://doi.org/10.1109/70.481755
  11. M. Okutomi and T. Kanade, 'A multiple baseline stereo,' IEEE Trans. Patt. Anal. Mach. Intell., vol. 15, pp. 353-363, Apr. 1993 https://doi.org/10.1109/34.206955
  12. K. Pahlavan and J. Eklundh, 'A head-eye system-Analysis and design,' CVGIP: Image Understanding, vol. 56, pp. 41-56, Jul. 1992 https://doi.org/10.1016/1049-9660(92)90084-G
  13. T.Pajdla and V.Hlavac, 'Camera calibration and Euclidean reconstruction from known observer translations,' Proc. IEEE Conf. Comput. Vis. Patt. Recog., pp. 421-426, 1998 https://doi.org/10.1109/CVPR.1998.698640
  14. L. Robert, M. Buffa, and M. Hebert, 'Weakly-calibrated stereo perception for rover navigation,' Proc. Int. Conf. Computer Vision, pp. 46-51, 1995 https://doi.org/10.1109/ICCV.1995.466808
  15. Y. Shiu and S. Ahmad, 'Calibration of wrist-mounted robotic sensors by solving homogeneous transform equations of the form AX = XB,' IEEE Trans. Robotics Automat., vol. 5, pp. 16-29, Feb. 1989 https://doi.org/10.1109/70.88014
  16. R. Tsai, 'A versatile camera calibration technique for high accuracy 3D machine vision metrology using off-the-shelf TV cameras and lenses,' IEEE J. Robotics Automat., vol. 3, pp. 323-344, Aug. 1987
  17. R. Tsai and R. Lenz, 'A new technique for fully autonomous and efficient 3D robotics hand/eye calibration,' IEEE Trans. Robotics Automat., vol. 5, pp. 345-358, Jun. 1989 https://doi.org/10.1109/70.34770
  18. Z. Zhang, 'A flexible new technique for camera calibration,' Technical Report MSR-TR-98-71, Microsoft Research, 1998
  19. A. Zisserman, P. A. Beardsley, and I. D. Reid, 'Metric calibration of a stereo rig,' Proc. Workshop on Visual Scene Representation, 1995 https://doi.org/10.1109/WVRS.1995.476857