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Optical Engineering

Camera calibration using two concentric circles: linear approach
Author(s): Wenjuan Ma; Yinqiang Zheng; Yuncai Liu
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Paper Abstract

We present a new algorithm for camera calibration using two concentric circles, which is a linear approach. In the calibration, a pinhole camera model is used. Different from previous methods, we take the projective equations of 3-D circles, which include the intrinsic parameter matrix of the camera, as the basis of our calibration approach. According to the special structure of the projective equations in algebra, we can get a linear equation system about the intrinsic parameters. After enough equations are constructed, the calibration can be easily finished. With at least three images of the two concentric circles, all five intrinsic parameters can be recovered. Experiments using computer simulated data and real data demonstrate the robustness and accuracy of our method.

Paper Details

Date Published: 1 May 2009
PDF: 6 pages
Opt. Eng. 48(5) 053602 doi: 10.1117/1.3130213
Published in: Optical Engineering Volume 48, Issue 5
Show Author Affiliations
Wenjuan Ma, Shanghai Jiao Tong Univ. (China)
Yinqiang Zheng, Shanghai Jiao Tong Univ. (China)
Yuncai Liu, Shanghai Jiao Tong Univ. (China)

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