Iterative computation of 3D plane parameters

Abstract Knowledge of the position and orientation of 3D planes that exist in a scene is very important for many machine vision-based tasks, such as navigation, self-localization and docking. In this paper we propose two iterative methods for robustly computing the plane parameters out of given image sequences. Both methods include the (limited) ability to determine unknown parameters of the 3D-camera motion.

[1]  Narendra Ahuja,et al.  Motion and Structure From Two Perspective Views: Algorithms, Error Analysis, and Error Estimation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  Kenichi Kanatani,et al.  Geometric computation for machine vision , 1993 .

[3]  Ken Shoemake,et al.  Euler Angle Conversion , 1994, Graphics Gems.

[4]  H. C. Longuet-Higgins,et al.  A computer algorithm for reconstructing a scene from two projections , 1981, Nature.

[5]  Andrew Blake,et al.  Surface Orientation and Time to Contact from Image Divergence and Deformation , 1992, ECCV.

[6]  Edward H. Adelson,et al.  Probability distributions of optical flow , 1991, Proceedings. 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[7]  Berthold K. P. Horn,et al.  Passive navigation , 1982, Comput. Vis. Graph. Image Process..

[8]  Kenichi Kanatani Computational cross ratio for computer vision , 1994 .

[9]  Hilary Buxton,et al.  Computation of optic flow from the motion of edge features in image sequences , 1984, Image Vis. Comput..

[10]  Thomas S. Huang,et al.  Motion and structure from feature correspondences: a review , 1994, Proc. IEEE.

[11]  Ben J. A. Kröse,et al.  Navigation of a mobile robot on the temporal development of the optic flow , 1997, Proceedings of the 1997 IEEE/RSJ International Conference on Intelligent Robot and Systems. Innovative Robotics for Real-World Applications. IROS '97.