Coplanar circles, quasi-affine invariance and calibration

Authors:
Yihong Wu;Xinju Li;Fuchao Wu;Zhanyi Hu
Affiliations:
National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, P.O. Box 2728, No. 95 East Road of Zhong Guan Cun, Beijing 100080, People's Republic of China;National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, P.O. Box 2728, No. 95 East Road of Zhong Guan Cun, Beijing 100080, People's Republic of China;National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, P.O. Box 2728, No. 95 East Road of Zhong Guan Cun, Beijing 100080, People's Republic of China;National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, P.O. Box 2728, No. 95 East Road of Zhong Guan Cun, Beijing 100080, People's Republic of China
Venue:
Image and Vision Computing
Year:
2006

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Abstract

We define the lines associated with two coplanar circles, and give the distributions of any two coplanar circles and their associated lines. Further we prove that the distribution of two coplanar circles with no real intersection and their associated lines is a quasi-affine invariance. Then the results are applied to calibrating a camera. The calibration method has the advantages: (1) it is based on conic fitting; (2) it does not need any matching. Experiments with two separate circles validate our quasi-affine invariance and show that the estimated camera intrinsic parameters are as good as those obtained by Zhang's (2000) method.