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

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.

[1]  Quang-Tuan Luong,et al.  Self-Calibration of a Moving Camera from Point Correspondences and Fundamental Matrices , 1997, International Journal of Computer Vision.

[2]  Long Quan,et al.  Invariant of a pair of non-coplanar conics in space: definition, geometric interpretation and computation , 1995, Proceedings of IEEE International Conference on Computer Vision.

[3]  Zhanyi Hu,et al.  A new constraint on the imaged absolute conic from aspect ratio and its application , 2005, Pattern Recognit. Lett..

[4]  Bernard Mourrain,et al.  Using scene constraints during the calibration procedure , 2001, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001.

[5]  V. Frémont,et al.  DIRECT CAMERA CALIBRATION USING TWO CONCENTRIC CIRCLES FROM A SINGLE VIEW , 2002 .

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

[7]  Andrew Zisserman,et al.  Metric rectification for perspective images of planes , 1998, Proceedings. 1998 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No.98CB36231).

[8]  Bernhard P. Wrobel,et al.  Multiple View Geometry in Computer Vision , 2001 .

[9]  Reinhard Koch,et al.  Self-Calibration and Metric Reconstruction Inspite of Varying and Unknown Intrinsic Camera Parameters , 1999, International Journal of Computer Vision.

[10]  Zhanyi Hu,et al.  Planar conic based camera calibration , 2000, Proceedings 15th International Conference on Pattern Recognition. ICPR-2000.

[11]  O. D. Faugeras,et al.  Camera Self-Calibration: Theory and Experiments , 1992, ECCV.

[12]  Long Quan,et al.  Single Axis Geometry by Fitting Conics , 2002, ECCV.

[13]  Andrew Zisserman,et al.  Combining scene and auto-calibration constraints , 1999, Proceedings of the Seventh IEEE International Conference on Computer Vision.

[14]  Edmond Boyer,et al.  Camera calibration and 3D reconstruction from single images using parallelepipeds , 2001, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001.

[15]  Stephen J. Maybank,et al.  On plane-based camera calibration: A general algorithm, singularities, applications , 1999, Proceedings. 1999 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No PR00149).

[16]  J. G. Semple,et al.  Algebraic Projective Geometry , 1953 .

[17]  Reinhard Koch,et al.  Self-calibration and metric reconstruction in spite of varying and unknown internal camera parameters , 1998, Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271).

[18]  Roger Y. Tsai,et al.  A versatile camera calibration technique for high-accuracy 3D machine vision metrology using off-the-shelf TV cameras and lenses , 1987, IEEE J. Robotics Autom..

[19]  B. Caprile,et al.  Using vanishing points for camera calibration , 1990, International Journal of Computer Vision.

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

[21]  H. M. Karara,et al.  Direct Linear Transformation from Comparator Coordinates into Object Space Coordinates in Close-Range Photogrammetry , 2015 .

[22]  Hua Li,et al.  A new easy camera calibration technique based on circular points , 2003, Pattern Recognit..

[23]  Long Quan,et al.  Recovering the geometry of single axis motions by conic fitting , 2001, Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR 2001.

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

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

[26]  Zhengyou Zhang,et al.  Camera calibration with one-dimensional objects , 2002, IEEE Transactions on Pattern Analysis and Machine Intelligence.