Estimation of projected circle centers from array circles and its application in camera calibration

A method of detecting projected circle centers (PCC) based on array circles is proposed. The perspective distortion of projected circle centers could be eliminated from coplanar circles. By utilizing the property of projected coplanar circles, lines connecting PCCs are computed from projective invariant points defined by the projected circles (PCs), and then the PCCs are determined from the intersection of the computed lines. Once PCCs are recovered, the camera could be calibrated from classic method such as Zhang's. Both synthetic and real data have been used to testify the proposed algorithm and good results have been obtained. The calibration results show that the estmation of projected circle centre bears high stability and accuracy, even when the image noise is massive.

[1]  Zhanyi Hu,et al.  A new easy camera calibration technique based on circular points , 2003, Pattern Recognit..

[2]  Zhengyou Zhang,et al.  A Flexible New Technique for Camera Calibration , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[3]  Jun-Sik Kim,et al.  A Camera Calibration Method using Concentric Circles for Vision Applications , 2001 .

[4]  Zhanyi Hu,et al.  Coplanar circles, quasi-affine invariance and calibration , 2006, Image Vis. Comput..

[5]  Howon Kim,et al.  A New Camera Caibration Method using Concentric Circles for Vision Applications , 2002 .

[6]  Janne Heikkilä,et al.  A four-step camera calibration procedure with implicit image correction , 1997, Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[7]  Andrew W. Fitzgibbon,et al.  Direct Least Square Fitting of Ellipses , 1999, IEEE Trans. Pattern Anal. Mach. Intell..

[8]  Jun-Sik Kim,et al.  Geometric and algebraic constraints of projected concentric circles and their applications to camera calibration , 2005, IEEE Transactions on Pattern Analysis and Machine Intelligence.