OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Glenn D. Boreman
  • Vol. 44, Iss. 29 — Oct. 10, 2005
  • pp: 6108–6114

Equiresolution catadioptric sensors

Robert Andrew Hicks and Ronald K. Perline  »View Author Affiliations

Applied Optics, Vol. 44, Issue 29, pp. 6108-6114 (2005)

View Full Text Article

Acrobat PDF (1067 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A prominent characteristic of most catadioptric sensors is their lack of uniformity of resolution. We describe catadioptric sensors whose associated projections from the viewing sphere to the image plane have constant Jacobian determinants and so are equiresolution in the sense that any two equal solid angles are allocated the same number of pixels in the image plane. We show that in the orthographic case the catoptric component must be a surface of revolution of constant Gaussian curvature. We compare these equiresolution sensors in both the perspective and orthographic cases with other sensors that were proposed earlier for treating the uniformity-of-resolution problem.

© 2005 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(080.2740) Geometric optics : Geometric optical design

Robert Andrew Hicks and Ronald K. Perline, "Equiresolution catadioptric sensors," Appl. Opt. 44, 6108-6114 (2005)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. C. Geyer and K. Daniilidis, "A unifying theory for central panoramic systems and practical applications," In Proceedings of the European Conference on Computer Vision (IEEE, 2000), pp. 445-461.
  2. D. Rees, "Panoramic television viewing system," U.S. patent 3,505,465 (7 April 1970).
  3. P. Greguss, "Panoramic imaging block for three-dimensional space," U.S. patent 4,566,736 (28 January 1986).
  4. Y. Yagi and S. Kawato, "Panoramic scene analysis with conic projection," in Proceedings of the International Conference on Robots and Systems (IEEE, 1990), pp. 1-10.
  5. K. Yamazawa, Y. Yagi, and M. Yachida, "Omnidirectional imaging with hyperboidal projection," in Proceedings of the IEEE International Conference on Robots and Systems (IEEE, 1993), pp. 77-86.
  6. A. Bruckstein and T. Richardson, "Omniview cameras with curved surface mirrors," Bell Lab Tech Memo (Bell Laboratories, 1996).
  7. S. Nayar, "Catadioptric omnidirectional camera," Comput. Vis. Pattern Recog. 2, 482-488 (1997).
  8. J. S. Chahl and M. V. Srinivasan, "Reflective surfaces for panoramic imaging," Appl. Opt. 36, 8275-8285 (1997).
  9. M. Ollis, H. Herman, and S. Singh, "Analysis and design of panoramic stereo vision using equi-angular pixel cameras," Tech. Rep. (Robotics Institute, Carnegie Mellon University, 1999).
  10. T. Conroy and J. Moore, "Resolution invariant surfaces for panoramic vision systems," in Proceedings of the Seventh IEEE International Conference on Computer Vision (IEEE, 1999), pp. 392-397.
  11. S. Baker and S. Nayar, "A theory of catadioptric image formation," in Sixth International Conference on Computer Vision (IEEE, 1998), pp. 35-42.
  12. J. H. McDermit and T. E. Horton, "Reflective optics for obtaining prescribed irradiative distributions from collimated sources," Appl. Opt. 13, 1444-1450 (1974).
  13. G. Rines and J. Kuppenheimer, "Reflective optical element," U.S. patent 4,662,726 (5 May 1986).
  14. D. L. Shealy, "Theory of geometrical methods for design of laser beam shaping systems," in Laser Beam Shaping, F. M. Dickey and S. C. Holswade, eds., Proc. SPIE 4095, 1-15 (2000). [CrossRef]
  15. M. do Carmo, Differential Geometry of Curves and Surfaces (Prentice-Hall, 1976).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited