Calibration Method for Misaligned Catadioptric Camera

Tomohiro MASHITA; Yoshio IWAI; Masahiko YACHIDA

doi:10.1093/ietisy/e89-d.7.1984

Calibration Method for Misaligned Catadioptric Camera

Tomohiro MASHITA, Yoshio IWAI, Masahiko YACHIDA

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This paper proposes a calibration method for catadioptric camera systems consisting of a mirror whose reflecting surface is the surface of revolution and a perspective camera as typified by HyperOmni Vision. The proposed method is based on conventional camera calibration and mirror posture estimation. Many methods for camera calibration have been proposed and during the last decade, methods for catadioptric camera calibration have also been proposed. The main problem with catadioptric camera calibration is that the degree of freedom of mirror posture is limited or the accuracy of the estimated parameters is inadequate due to nonlinear optimization. On the other hand, our method can estimate five degrees of freedom of mirror posture and is free from the volatility of nonlinear optimization. The mirror posture has five degrees of freedom, because the mirror surface has a surface of revolution. Our method uses the mirror boundary and can estimate up to four mirror postures. We apply an extrinsic parameter calibration method based on conic fitting for this estimation method. Because an estimate of the mirror posture is not unique, we also propose a selection method for finding the best one. By using the conic-based analytical method we can avoid the initial value problem arising from nonlinear optimization. We conducted experiments on synthesized images and real images to evaluate the performance of our method, and discuss its accuracy.

Publication: IEICE TRANSACTIONS on Information Vol.E89-D No.7 pp.1984-1993

Publication Date: 2006/07/01

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Online ISSN: 1745-1361

DOI: 10.1093/ietisy/e89-d.7.1984

Type of Manuscript: Special Section PAPER (Special Section on Machine Vision Applications)

Category: Camera Calibration

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Tomohiro MASHITA, Yoshio IWAI, Masahiko YACHIDA, "Calibration Method for Misaligned Catadioptric Camera" in IEICE TRANSACTIONS on Information, vol. E89-D, no. 7, pp. 1984-1993, July 2006, doi: 10.1093/ietisy/e89-d.7.1984.
Abstract: This paper proposes a calibration method for catadioptric camera systems consisting of a mirror whose reflecting surface is the surface of revolution and a perspective camera as typified by HyperOmni Vision. The proposed method is based on conventional camera calibration and mirror posture estimation. Many methods for camera calibration have been proposed and during the last decade, methods for catadioptric camera calibration have also been proposed. The main problem with catadioptric camera calibration is that the degree of freedom of mirror posture is limited or the accuracy of the estimated parameters is inadequate due to nonlinear optimization. On the other hand, our method can estimate five degrees of freedom of mirror posture and is free from the volatility of nonlinear optimization. The mirror posture has five degrees of freedom, because the mirror surface has a surface of revolution. Our method uses the mirror boundary and can estimate up to four mirror postures. We apply an extrinsic parameter calibration method based on conic fitting for this estimation method. Because an estimate of the mirror posture is not unique, we also propose a selection method for finding the best one. By using the conic-based analytical method we can avoid the initial value problem arising from nonlinear optimization. We conducted experiments on synthesized images and real images to evaluate the performance of our method, and discuss its accuracy.
URL: https://global.ieice.org/en_transactions/information/10.1093/ietisy/e89-d.7.1984/_p

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@ARTICLE{e89-d_7_1984,
author={Tomohiro MASHITA, Yoshio IWAI, Masahiko YACHIDA, },
journal={IEICE TRANSACTIONS on Information},
title={Calibration Method for Misaligned Catadioptric Camera},
year={2006},
volume={E89-D},
number={7},
pages={1984-1993},
abstract={This paper proposes a calibration method for catadioptric camera systems consisting of a mirror whose reflecting surface is the surface of revolution and a perspective camera as typified by HyperOmni Vision. The proposed method is based on conventional camera calibration and mirror posture estimation. Many methods for camera calibration have been proposed and during the last decade, methods for catadioptric camera calibration have also been proposed. The main problem with catadioptric camera calibration is that the degree of freedom of mirror posture is limited or the accuracy of the estimated parameters is inadequate due to nonlinear optimization. On the other hand, our method can estimate five degrees of freedom of mirror posture and is free from the volatility of nonlinear optimization. The mirror posture has five degrees of freedom, because the mirror surface has a surface of revolution. Our method uses the mirror boundary and can estimate up to four mirror postures. We apply an extrinsic parameter calibration method based on conic fitting for this estimation method. Because an estimate of the mirror posture is not unique, we also propose a selection method for finding the best one. By using the conic-based analytical method we can avoid the initial value problem arising from nonlinear optimization. We conducted experiments on synthesized images and real images to evaluate the performance of our method, and discuss its accuracy.},
keywords={},
doi={10.1093/ietisy/e89-d.7.1984},
ISSN={1745-1361},
month={July},}

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TY - JOUR
TI - Calibration Method for Misaligned Catadioptric Camera
T2 - IEICE TRANSACTIONS on Information
SP - 1984
EP - 1993
AU - Tomohiro MASHITA
AU - Yoshio IWAI
AU - Masahiko YACHIDA
PY - 2006
DO - 10.1093/ietisy/e89-d.7.1984
JO - IEICE TRANSACTIONS on Information
SN - 1745-1361
VL - E89-D
IS - 7
JA - IEICE TRANSACTIONS on Information
Y1 - July 2006
AB - This paper proposes a calibration method for catadioptric camera systems consisting of a mirror whose reflecting surface is the surface of revolution and a perspective camera as typified by HyperOmni Vision. The proposed method is based on conventional camera calibration and mirror posture estimation. Many methods for camera calibration have been proposed and during the last decade, methods for catadioptric camera calibration have also been proposed. The main problem with catadioptric camera calibration is that the degree of freedom of mirror posture is limited or the accuracy of the estimated parameters is inadequate due to nonlinear optimization. On the other hand, our method can estimate five degrees of freedom of mirror posture and is free from the volatility of nonlinear optimization. The mirror posture has five degrees of freedom, because the mirror surface has a surface of revolution. Our method uses the mirror boundary and can estimate up to four mirror postures. We apply an extrinsic parameter calibration method based on conic fitting for this estimation method. Because an estimate of the mirror posture is not unique, we also propose a selection method for finding the best one. By using the conic-based analytical method we can avoid the initial value problem arising from nonlinear optimization. We conducted experiments on synthesized images and real images to evaluate the performance of our method, and discuss its accuracy.
ER -