Camera Calibration from the Quasi-affine Invariance of Two Parallel Circles

Abstract. In this paper, a new camera calibration algorithm is proposed, which is from the quasi-affine invariance of two parallel circles. Two parallel circles here mean two circles in one plane, or in two parallel planes. They are quite common in our life. Between two parallel circles and their images under a perspective projection, we set up a quasi-affine invariance. Especially, if their images under a perspective projection are separate, we find out an interesting distribution of the images and the virtual intersections of the images, and prove that it is a quasi-affine invariance. The quasi-affine invariance is very useful which is applied to identify the images of circular points. After the images of the circular points are identified, linear equations on the intrinsic parameters are established, from which a camera calibration algorithm is proposed. We perform both simulated and real experiments to verify it. The results validate this method and show its accuracy and robustness...

• Type: Conference
• Year: 2004
• Where: ECCV
• Authors: Yihong Wu, Haijiang Zhu, Zhanyi Hu, Fuchao Wu
• Keywords: Camera Calibration Algorithm, Computer Vision, Conic Fitting Method, ECCV 2004, Parallel Circles, Quasi-affine Invariance, Quasiaffine Invariance