Catadioptric Image Formation

Conventional video cameras have limited elds of view that make them restrictive in certain vision applications. A catadioptric sensor uses a combination of lenses and mirrors placed in a carefully designed con guration to capture a much wider eld of view. In particular, the shape of the mirror must be selected to ensure that the complete catadioptric system has a single e ective viewpoint, which is a requirement for the generation of pure perspective images from the sensed image. In this paper, we derive and analyze the complete class of single-lens single-mirror catadioptric sensors which satisfy the xed viewpoint constraint. Some solutions turn out to be degenerate with no practical value while other solutions lead to realizable sensors.

[1]  Yasushi Yagi,et al.  Panorama scene analysis with conic projection , 1990, EEE International Workshop on Intelligent Robots and Systems, Towards a New Frontier of Applications.

[2]  泰義 横小路,et al.  IEEE International Conference on Robotics and Automation , 1992 .

[3]  Edward M. Riseman,et al.  Image-based homing , 1991, IEEE Control Systems.

[4]  A. Ardeshir Goshtasby,et al.  Design of a single-lens stereo camera system , 1993, Pattern Recognit..

[5]  Yasushi Yagi,et al.  Omnidirectional imaging with hyperboloidal projection , 1993, Proceedings of 1993 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS '93).

[6]  S. Nayar Omnidirectional Video Camera , 1997 .