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1D Camera Geometry and Its Application to the Self-Calibration of Circular Motion Sequences
December 2008 (vol. 30 no. 12)
pp. 2243-2248
ASCII Text
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Kwan-Yee K. Wong, Guoqiang Zhang, Chen Liang, Hui Zhang, "1D Camera Geometry and Its Application to the Self-Calibration of Circular Motion Sequences," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 30, no. 12, pp. 2243-2248, December, 2008.
 
 
BibTex
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@article{ 10.1109/TPAMI.2008.169,
author = {Kwan-Yee K. Wong and Guoqiang Zhang and Chen Liang and Hui Zhang},
title = {1D Camera Geometry and Its Application to the Self-Calibration of Circular Motion Sequences},
journal ={IEEE Transactions on Pattern Analysis and Machine Intelligence},
volume = {30},
number = {12},
issn = {0162-8828},
year = {2008},
pages = {2243-2248},
doi = {http://doi.ieeecomputersociety.org/10.1109/TPAMI.2008.169},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Pattern Analysis and Machine Intelligence
TI - 1D Camera Geometry and Its Application to the Self-Calibration of Circular Motion Sequences
IS - 12
SN - 0162-8828
SP2243
EP2248
EPD - 2243-2248
A1 - Kwan-Yee K. Wong,
A1 - Guoqiang Zhang,
A1 - Chen Liang,
A1 - Hui Zhang,
PY - 2008
KW - Camera calibration
KW - Imaging geometry
KW - 3D/stereo scene analysis
VL - 30
JA - IEEE Transactions on Pattern Analysis and Machine Intelligence
ER -
 
Kwan-Yee K. Wong, The University of Hong Kong, Hong Kong
Guoqiang Zhang, The University of Hong Kong, Hong Kong
Chen Liang, The University of Hong Kong, Hong Kong
Hui Zhang, United International College, Tangjiawan, Zhuhai, Guangdong
This paper proposes a novel method for robustly recovering the camera geometry of an uncalibrated image sequence taken under circular motion. Under circular motion, all the camera centers lie on a circle and the mapping from the plane containing this circle to the horizon line observed in the image can be modelled as a 1D projection. A 2x2 homography is introduced in this paper to relate the projections of the camera centers in two 1D views. It is shown that the two imaged circular points of the motion plane and the rotation angle between the two views can be derived directly from such a homography. This way of recovering the imaged circular points and rotation angles is intrinsically a multiple view approach, as all the sequence geometry embedded in the epipoles is exploited in the estimation of the homography for each view pair. This results in a more robust method compared to those computing the rotation angles using adjacent views only. The proposed method has been applied to self-calibrate turntable sequences using either point features or silhouettes, and highly accurate results have been achieved.

[1] P. Sturm, “Critical Motion Sequences for Monocular Self-Calibration and Uncalibrated Euclidean Reconstruction,” Proc. IEEE Conf. Computer Vision and Pattern Recognition, pp. 1100-1105, 1997.
[2] W. Niem, “Robust and Fast Modelling of 3D Natural Objects from Multiple Views,” Proc. SPIE—Image and Video Processing II, vol. 2182, pp. 388-397, 1994.
[3] R. Szeliski, “Rapid Octree Construction from Image Sequences,” Computer Vision, Graphics, and Image Processing, vol. 58, no. 1, pp. 23-32, July 1993.
[4] A.W. Fitzgibbon, G. Cross, and A. Zisserman, “Automatic 3D Model Construction for Turn-Table Sequences,” Proc. European Workshop 3D Structure from Multiple Images of Large-Scale Environments, R. Koch and L.Van Gool, eds., pp. 155-170, June 1998.
[5] G. Jiang, H.T. Tsui, L. Quan, and A. Zisserman, “Geometry of Single Axis Motions Using Conic Fitting,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 25, no. 10, pp. 1343-1348, Oct. 2003.
[6] G. Jiang, L. Quan, and H.T. Tsui, “Circular Motion Geometry Using Minimal Data,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 26, no. 6, pp. 721-731, June 2004.
[7] P.R.S. Mendonça, K.-Y.K. Wong, and R. Cipolla, “Epipolar Geometry from Profiles under Circular Motion,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 23, no. 6, pp. 604-616, June 2001.
[8] K.-Y.K. Wong and R. Cipolla, “Structure and Motion from Silhouettes,” Proc. Eighth IEEE Int'l Conf. Computer Vision, vol. 2, pp. 217-222, July 2001.
[9] H. Zhang, G. Zhang, and K.-Y.K. Wong, “Auto-Calibration and Motion Recovery from Silhouettes for Turntable Sequences,” Proc. British Machine Vision Conf., vol. 1, pp. 79-88, Sept. 2005.
[10] C. Hernández, F. Schmitt, and R. Cipolla, “Silhouette Coherence for Camera Calibration under Circular Motion,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 29, no. 2, pp. 343-349, Feb. 2007.
[11] S.N. Sinha, M. Pollefeys, and L. McMillan, “Camera Network Calibration from Dynamic Silhouettes,” Proc. IEEE Conf. Computer Vision and Pattern Recognition, vol. 1, pp. 195-202, 2004.
[12] E. Boyer, “On Using Silhouettes for Camera Calibration,” Proc. Asian Conf. Computer Vision, vol. 1, pp. 1-10, 2006.
[13] G. Zhang, H. Zhang, and K.-Y.K. Wong, “1D Camera Geometry and Its Application to Circular Motion Estimation,” Proc. British Machine Vision Conf., vol. 1, pp. 67-76, Sept. 2006.
[14] O. Faugeras, L. Quan, and P. Sturm, “Self-Calibration of a 1D Projective Camera and Its Application to the Self-Calibration of a 2D Projective Camera,” Proc. Fifth European Conf. Computer Vision, pp. 36-52, June 1998.
[15] M. Armstrong, A. Zisserman, and R. Hartley, “Self-Calibration from Image Triplets,” Proc. Fourth European Conf. Computer Vision, B. Buxton and R.Cipolla, eds., pp. 3-16, Apr. 1996.
[16] R.I. Hartley and A. Zisserman, Multiple View Geometry in Computer Vision. Cambridge Univ. Press, 2000.
[17] R. Cipolla and A. Blake, “Surface Shape from the Deformation of Apparent Contours,” Int'l J. Computer Vision, vol. 9, no. 2, pp. 83-112, Nov. 1992.

Index Terms:
Camera calibration, Imaging geometry, 3D/stereo scene analysis
Citation:
Kwan-Yee K. Wong, Guoqiang Zhang, Chen Liang, Hui Zhang, "1D Camera Geometry and Its Application to the Self-Calibration of Circular Motion Sequences," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 30, no. 12, pp. 2243-2248, Dec. 2008, doi:10.1109/TPAMI.2008.169
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