Full Text:   <3569>

CLC number: TP242.6+2

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 0000-00-00

Cited: 1

Clicked: 6257

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
1. Reference List
Open peer comments

Journal of Zhejiang University SCIENCE A 2008 Vol.9 No.6 P.799-806

http://doi.org/10.1631/jzus.A071573


New multi-camera calibration algorithm based on 1D objects


Author(s):  Zi-jian ZHAO, Yun-cai LIU

Affiliation(s):  Institute of Image Processing and Pattern Recognition, Shanghai Jiao Tong University, Shanghai 200240, China

Corresponding email(s):   zj_zhao@sjtu.edu.cn, whomliu@sjtu.edu.cn

Key Words:  Multi-camera calibration, Homography, Factorization, Scaled measurement matrix, Projective depth


Zi-jian ZHAO, Yun-cai LIU. New multi-camera calibration algorithm based on 1D objects[J]. Journal of Zhejiang University Science A, 2008, 9(6): 799-806.

@article{title="New multi-camera calibration algorithm based on 1D objects",
author="Zi-jian ZHAO, Yun-cai LIU",
journal="Journal of Zhejiang University Science A",
volume="9",
number="6",
pages="799-806",
year="2008",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A071573"
}

%0 Journal Article
%T New multi-camera calibration algorithm based on 1D objects
%A Zi-jian ZHAO
%A Yun-cai LIU
%J Journal of Zhejiang University SCIENCE A
%V 9
%N 6
%P 799-806
%@ 1673-565X
%D 2008
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A071573

TY - JOUR
T1 - New multi-camera calibration algorithm based on 1D objects
A1 - Zi-jian ZHAO
A1 - Yun-cai LIU
J0 - Journal of Zhejiang University Science A
VL - 9
IS - 6
SP - 799
EP - 806
%@ 1673-565X
Y1 - 2008
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A071573


Abstract: 
A new calibration algorithm for multi-camera systems using 1D calibration objects is proposed. The algorithm integrates the rank-4 factorization with Zhang (2004)’s method. The intrinsic parameters as well as the extrinsic parameters are recovered by capturing with cameras the 1D object’s rotations around a fixed point. The algorithm is based on factorization of the scaled measurement matrix, the projective depth of which is estimated in an analytical equation instead of a recursive form. For more than three points on a 1D object, the approach of our algorithm is to extend the scaled measurement matrix. The obtained parameters are finally refined through the maximum likelihood inference. Simulations and experiments with real images verify that the proposed technique achieves a good trade-off between the intrinsic and extrinsic camera parameters.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1] Cao, X., Foroosh, H., 2006. Camera calibration using symmetric objects. IEEE Trans. on Image Processing, 15(11):3614-3619.

[2] Chen, Q., Wu, H., Wada, T., 2004. Camera Calibration with Two Arbitrary Coplanar Circles. European Conf. on Computer Vision. Prague, p.521-532.

[3] Faugeras, O., 1993. Three-Dimensional Computer Vision: A Geometric Viewpoint. MIT Press, p.156-200.

[4] Gurdjos, P., Sturm, P., Wu, Y., 2006a. Euclidean Structure Form N>=2 Parallel Circles: Theory and Algorithms. European Conf. on Computer Vision. Graz, p.238-252.

[5] Gurdjos, P., Kim, J., Kweon, I., 2006b. Euclidean Structure from Confocal Conics: Theory and Application to Camera Calibration. Proc. IEEE Computer Society Conf. on Computer Vision and Pattern Recognition. New York, p.1214-1221.

[6] Hammarstedt, P., Sturm, P., Heyden, A., 2005. Degenerate Cases and Closed-Form Solution for Camera Calibration with One-Dimensional Objects. Proc. 10th IEEE Int. Conf. on Computer Vision. Beijing, p.317-324.

[7] Hartley, R., Zisserman, A., 2003. Multiple View Geometry in Computer Vision. Cambridge University Press, Cambridge, p.60-300.

[8] Kim, J., Gurdjos, P., Kweon, I., 2005. Geometric and algebraic constraints of projected concentric circles and their applications to camera calibration. IEEE Trans. on PAMI, 27(4):637-642.

[9] Meng, X., Hu, Z., 2003. A new easy camera calibration technique based on circular points. Pattern Recognition, 36(5):1155-1164.

[10] Press, W.H., Flannery, B.P., Teukolsky, S.A., Vetterling, W.T., 1988. Numerical Recipes in C: The Art of Scientific Computing. Cambridge University Press, p.33-60.

[11] Sturm, P., Triggs, B., 1996. A Factorization Based Algorithm for Multi-Image Projective Structure and Motion. European Conf. on Computer Vision. Cambridge, p.709-720.

[12] Sturm, P., Maybank, S., 1999. On Plane-Based Camera Calibration: A General Algorithm, Singularities, Applications. IEEE Conf. on Computer Vision and Pattern Recognition. Ft. Collins, p.1432-1437.

[13] Svoboda, T., Martinec, D., Pajdla, T., 2005. A convenient multi-camera self-calibration for virtual environments. Presence: Teleoperators and Virtual Environments, 14(4):407-422.

[14] Triggs, B., 1998. Auto-Calibration Form Planar Scenes. European Conf. on Computer Vision. Freiburg, p.89-105.

[15] Tsai, R.Y., 1987. A versatile camera calibration technique for high-accuracy 3D machine vision metrology using off-the-shelf cameras and lens. IEEE Robotics and Automation, 3(4):323-344.

[16] Wong, K.Y.K., Mendonca, P.R.S., Cipolla, R., 2003. Camera calibration from surfaces of revolution. IEEE Trans. on PAMI, 25(2):147-161.

[17] Wu, F., Hu, Z., Zhu, H., 2005. Camera calibration with moving one-dimensional objects. Pattern Recognition, 38(5):755-765.

[18] Wu, Y., Zhu, H., Hu, Z., Wu, F., 2004. Camera Calibration form Quasi-Affine Invariance of Two Parallel Circles. European Conf. on Computer Vision. Prague, p.190-202.

[19] Zhang, H., Wong, K.Y.K., Zhang, G., 2007. Camera calibration from images of spheres. IEEE Trans. on PAMI, 29(3):499-502.

[20] Zhang, Z., 2000. A flexible new technique for camera calibration. IEEE Trans. on PAMI, 22(11):1330-1334.

[21] Zhang, Z., 2004. Camera calibration with one-dimensional objects. IEEE Trans. on PAMI, 26(7):892-899.

Open peer comments: Debate/Discuss/Question/Opinion

<1>

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - 2024 Journal of Zhejiang University-SCIENCE