Self-calibration of zooming cameras observing an unknown planar structure

In this paper, we propose a new self-calibration technique for cameras with changing zoom observing only a planar structure. The method does not need any metric or topologic knowledge about the structure since it is based on the estimation of the collineations existing between several views of a plane (thus only image correspondences are needed). The constraints existing between all the collineations are imposed using a very simple and efficient technique which does not need the solution of a complex optimisation problem. Finally, even if the structure of the plane is unknown it must be the same for all the images and this provides some constraints which allow the recovering of the varying focal length.

[1]  Bill Triggs,et al.  Autocalibration from Planar Scenes , 1998, ECCV.

[2]  Roberto Cipolla,et al.  Multi-view Constraints between Collineations: Application to Self-Calibration from Unknown Planar Structures , 2000, ECCV.

[3]  Richard Szeliski,et al.  Geometrically Constrained Structure from Motion: Points on Planes , 1998, SMILE.

[4]  Kostas Daniilidis,et al.  Constrained self-calibration , 1999, Proceedings. 1999 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No PR00149).

[5]  Olivier Faugeras,et al.  Motion and Structure from Motion in a piecewise Planar Environment , 1988, Int. J. Pattern Recognit. Artif. Intell..

[6]  Bill Triggs,et al.  Autocalibration and the absolute quadric , 1997, Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[7]  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).

[8]  Reinhard Koch,et al.  Self-Calibration and Metric Reconstruction Inspite of Varying and Unknown Intrinsic Camera Parameters , 1998, Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271).

[9]  Lihi Zelnik-Manor,et al.  Multi-view subspace constraints on homographies , 1999, Proceedings of the Seventh IEEE International Conference on Computer Vision.

[10]  Paulo R. S. Mendonça,et al.  A simple technique for self-calibration , 1999, Proceedings. 1999 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No PR00149).

[11]  Richard I. Hartley,et al.  Minimizing algebraic error in geometric estimation problems , 1998, Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271).

[12]  Richard I. Hartley.  Self-Calibration from Multiple Views with a Rotating Camera , 1994, ECCV.

[13]  R. Hartley,et al.  Linear calibration of a rotating and zooming camera ∗ , 1999 .

[14]  Richard I. Hartley,et al.  Estimation of Relative Camera Positions for Uncalibrated Cameras , 1992, ECCV.