How to rotate a camera

A procedure is proposed that, given any rotating device to support a camera, places the camera's center of projection to within a tenth of a millimeter from the axis of the rotating device, even with wide angle lenses with severe distortion. Results are experimentally validated by checking that all the camera projection centers as computed through an off-the-shelf calibration method are at the same point in the world, and that the camera rotations computed by the same calibration method are close to the true values measured with a mechanical high accuracy positioning jig. Experimental data and Matlab code are accessible on the World-Wide Web.

[1]  Gideon P. Stein,et al.  Lens distortion calibration using point correspondences , 1997, Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[2]  John J. Craig Zhu,et al.  Introduction to robotics mechanics and control , 1991 .

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

[4]  Anders Heyden,et al.  Euclidean reconstruction from image sequences with varying and unknown focal length and principal point , 1997, Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[5]  John E. Dennis,et al.  Numerical methods for unconstrained optimization and nonlinear equations , 1983, Prentice Hall series in computational mathematics.

[6]  Xiaoli Yang,et al.  Camera calibration using geometric constraints , 1989, Proceedings CVPR '89: IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[7]  Yiannis Aloimonos,et al.  Self-Calibration from Image Derivatives , 1998, Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271).

[8]  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).

[9]  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..

[10]  Paul A. Beardsley,et al.  Camera Calibration Using Multiple Images , 1992, ECCV.

[11]  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.

[12]  Václav Hlavác,et al.  Camera calibration and Euclidean reconstruction from known observer translations , 1998, Proceedings. 1998 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No.98CB36231).

[13]  Erez Shilat,et al.  Varying focal length self-calibration and pose estimation from two images , 1998, Proceedings. 1998 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No.98CB36231).

[14]  Soren W. Henriksen,et al.  Manual of photogrammetry , 1980 .

[15]  Olivier D. Faugeras,et al.  Self-Calibration of a 1D Projective Camera and Its Application to the Self-Calibration of a 2D Projective Camera , 1998, ECCV.