A method for calibrating the central catadioptric camera via Homographic Matrix

B. Zhang; Y. F. Li

doi:10.1109/ICINFA.2008.4608140

A method for calibrating the central catadioptric camera via Homographic Matrix

B. Zhang, Y. F. Li^*

^*Corresponding author for this work

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

12 Citations (Scopus)

Abstract

In this paper, we present a Homography-based method for calibrating the central catadioptric vision system. We consider two cases, i.e. orthographic camera with parabolic mirror and perspective camera with hyperbolic mirror. In both cases, the parameters of the mirror and the extrinsic parameters of the camera are estimated simultaneously, assuming that the intrinsic parameters of the camera are known. We formulate the calibration task into a polynomial eigenvalue problem and obtain a closed-form solution for all the variables using the plane-based Homography matrix. Our results show that five pairs of corresponding points for the first case and fourteen for the second case are sufficient to calibrate the vision system. Finally, some experiments are performed to validate the proposed algorithm. © 2008 IEEE.

Original language	English
Title of host publication	Proceedings of the 2008 IEEE International Conference on Information and Automation, ICIA 2008
Pages	972-977
DOIs	https://doi.org/10.1109/ICINFA.2008.4608140
Publication status	Published - 2008
Event	2008 IEEE International Conference on Information and Automation, ICIA 2008 - Zhangjiajie, Hunan, China Duration: 20 Jun 2008 → 23 Jun 2008

Conference

Conference	2008 IEEE International Conference on Information and Automation, ICIA 2008
Place	China
City	Zhangjiajie, Hunan
Period	20/06/08 → 23/06/08

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@inproceedings{665c5059a8da4a15a594b25f65c01b45,

title = "A method for calibrating the central catadioptric camera via Homographic Matrix",

abstract = "In this paper, we present a Homography-based method for calibrating the central catadioptric vision system. We consider two cases, i.e. orthographic camera with parabolic mirror and perspective camera with hyperbolic mirror. In both cases, the parameters of the mirror and the extrinsic parameters of the camera are estimated simultaneously, assuming that the intrinsic parameters of the camera are known. We formulate the calibration task into a polynomial eigenvalue problem and obtain a closed-form solution for all the variables using the plane-based Homography matrix. Our results show that five pairs of corresponding points for the first case and fourteen for the second case are sufficient to calibrate the vision system. Finally, some experiments are performed to validate the proposed algorithm. {\textcopyright} 2008 IEEE.",

author = "B. Zhang and Li, {Y. F.}",

year = "2008",

doi = "10.1109/ICINFA.2008.4608140",

language = "English",

isbn = "9781424421848",

pages = "972--977",

booktitle = "Proceedings of the 2008 IEEE International Conference on Information and Automation, ICIA 2008",

note = "2008 IEEE International Conference on Information and Automation, ICIA 2008 ; Conference date: 20-06-2008 Through 23-06-2008",

}

Zhang, B & Li, YF 2008, A method for calibrating the central catadioptric camera via Homographic Matrix. in Proceedings of the 2008 IEEE International Conference on Information and Automation, ICIA 2008., 4608140, pp. 972-977, 2008 IEEE International Conference on Information and Automation, ICIA 2008, Zhangjiajie, Hunan, China, 20/06/08. https://doi.org/10.1109/ICINFA.2008.4608140

A method for calibrating the central catadioptric camera via Homographic Matrix. / Zhang, B.; Li, Y. F.
Proceedings of the 2008 IEEE International Conference on Information and Automation, ICIA 2008. 2008. p. 972-977 4608140.

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - A method for calibrating the central catadioptric camera via Homographic Matrix

AU - Zhang, B.

AU - Li, Y. F.

PY - 2008

Y1 - 2008

N2 - In this paper, we present a Homography-based method for calibrating the central catadioptric vision system. We consider two cases, i.e. orthographic camera with parabolic mirror and perspective camera with hyperbolic mirror. In both cases, the parameters of the mirror and the extrinsic parameters of the camera are estimated simultaneously, assuming that the intrinsic parameters of the camera are known. We formulate the calibration task into a polynomial eigenvalue problem and obtain a closed-form solution for all the variables using the plane-based Homography matrix. Our results show that five pairs of corresponding points for the first case and fourteen for the second case are sufficient to calibrate the vision system. Finally, some experiments are performed to validate the proposed algorithm. © 2008 IEEE.

AB - In this paper, we present a Homography-based method for calibrating the central catadioptric vision system. We consider two cases, i.e. orthographic camera with parabolic mirror and perspective camera with hyperbolic mirror. In both cases, the parameters of the mirror and the extrinsic parameters of the camera are estimated simultaneously, assuming that the intrinsic parameters of the camera are known. We formulate the calibration task into a polynomial eigenvalue problem and obtain a closed-form solution for all the variables using the plane-based Homography matrix. Our results show that five pairs of corresponding points for the first case and fourteen for the second case are sufficient to calibrate the vision system. Finally, some experiments are performed to validate the proposed algorithm. © 2008 IEEE.

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U2 - 10.1109/ICINFA.2008.4608140

DO - 10.1109/ICINFA.2008.4608140

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 9781424421848

SP - 972

EP - 977

BT - Proceedings of the 2008 IEEE International Conference on Information and Automation, ICIA 2008

T2 - 2008 IEEE International Conference on Information and Automation, ICIA 2008

Y2 - 20 June 2008 through 23 June 2008

ER -

A method for calibrating the central catadioptric camera via Homographic Matrix

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