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A theory of catadioptric image formation
Open accessAbstract
Conventional video cameras have limited fields of view which make them restrictive for certain applications in computational vision. A catadioptric sensor uses a combination of lenses and mirrors placed in a carefully arranged configuration to capture a much wider field of view. When designing a catadioptric sensor, the shape of the mirror(s) should ideally be selected to ensure that the complete catadioptric system has a single effective viewpoint. In this paper, we derive the complete class of single-lens single-mirror catadioptric sensors which have a single viewpoint and an expression for the spatial resolution of a catadioptric sensor in terms of the resolution of the camera used to construct it. We also include a preliminary analysis of the defocus blur caused by the use of a curved mirror.
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Cited by
A Flexible Technique for Accurate Omnidirectional Camera Calibration and Structure from Motion
Scaramuzza, D., Martinelli, A., & Siegwart, R. (2006) · Fourth IEEE International Conference on Computer Vision Systems (ICVS'06) · doi:10.1109/icvs.2006.3 · Cited by 417
Vision-based navigation and environmental representations with an omnidirectional camera
Gaspar, J., Winters, N., & Santos-Victor, J. (2000) · IEEE Transactions on Robotics and Automation · doi:10.1109/70.897802 · Cited by 304
A general approach for egomotion estimation with omnidirectional images
Vassallo, R. F., Santos-Victor, J., & Schneebeli, H. J. (2003) · Proceedings of the IEEE Workshop on Omnidirectional Vision 2002. Held in conjunction with ECCV'02 · doi:10.1109/omnvis.2002.1044502 · Cited by 52
Unifying Image Plane Liftings for Central Catadioptric and Dioptric Cameras
Barreto, J. P. (2006) · Imaging Beyond the Pinhole Camera · doi:10.1007/978-1-4020-4894-4_2 · Cited by 26
Metadata
- Authors
- Baker, S., & Nayar, S. K.
- Venue
- Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271)
- Publisher
- Narosa Publishing House
- Published
- 2002-11-27
- Pages
- 35-42
- OpenAlex
- W2107738794
- Cited by
- 377
- References
- 0
- FWCI
- 23.33
- Type
- conference paper
- Language
- en
- Open access
- green
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- Baker, S., & Nayar, S. K. (2002). A theory of catadioptric image formation. Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271). https://doi.org/10.1109/iccv.1998.710698
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