Skip to main content
SpringerLink
Log in

Catadioptric Camera

  • Reference work entry
  • First Online:
Computer Vision

  • 180 Accesses

Synonyms

Catoptrics; Dioptrics

Related Concepts

Center of Projection; Field of View; Omnidirectional Camera

Definition

A catadioptric system is a camera configuration where both lenses and mirrors are jointly used to achieve specialized optical properties. These configurations are referred to as catadioptric, where “cata” comes from mirrors (reflective) and “dioptric” comes from lenses (refractive).

Background

In 1637, René Descartes observed that the refractive and reflective “ovals” (conical lenses and mirrors) have the ability to focus light into one single point on illumination from a chosen point [1]. It was reported that the same results were derived by Feynman et al. [2] and Drucker and Locke [3]. In computer vision community, Baker and Nayar presented the complete class of single viewpoint catadioptric configurations with detailed solutions and degenerate cases [4]. Some of these results have been independently derived by Bruckstein and Richardson [5]. Survey of various...

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 649.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 899.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Descartes R, Smith D (1637) The geometry of René Descartes. Dover, New York. Originally published in Discours de la Méthode

    Google Scholar 

  2. Feynman R, Leighton R, Sands M (1963) The feynman lectures on physics. Mainly mechanics, radiation, and heat, Addison-Wesley, Reading, vol 1

    Google Scholar 

  3. Drucker D, Locke P (1996) A natural classification of curves and surfaces with reflection properties. Math Mag 69(4):249–256

    Article  MathSciNet  MATH  Google Scholar 

  4. Baker S, Nayar S (1998) A theory of catadioptric image formation. In: International conference on computer vision (ICCV), Bombay, pp 35–42

    Google Scholar 

  5. Bruckstein A, Richardson T (2000) Omniview cameras with curved surface mirrors. In: IEEE workshop on omnidirectional vision, Hilton Head Island, pp 79–84

    Google Scholar 

  6. Sturm P, Ramalingam S, Tardif JP, Gasparini S, Barreto J (2011) Camera models and fundamental concepts used in geometric computer vision. Found Trends Comput Graph Vis 6(1–2):1–183

    Google Scholar 

  7. Ramalingam S (2006) Generic imaging models: calibration and 3d reconstruction algorithms. PhD thesis, INRIA Rhone Alpes

    Google Scholar 

  8. Nayar S (1997) Catadioptric omnidirectional camera. In: Conference on computer vision and pattern recognition (CVPR), San Juan, pp 482–488

    Google Scholar 

  9. Nalwa V (1996) A true omnidirectional viewer. Technical report, Bell Laboratories, Holmdel, NJ, USA

    Google Scholar 

  10. Lin S, Bajcky R (2001) True single view cone mirror omnidirectional catadioptric system. In: International conference on computer vision (ICCV), Vancouver, vol 2, pp 102–107

    Google Scholar 

  11. Rees DW (1970) Panoramic television viewing system. US Patent 3,505,465

    Google Scholar 

  12. Yamazawa K, Yagi Y, Yachida M (1995) Obstacle avoidance with omnidirectional image sensor hyperomni vision. In: International conference on robotics and automation, Nagoya, pp 1062–1067

    Google Scholar 

  13. Micusik B, Pajdla T (2004) Autocalibration and 3d reconstruction with non-central catadioptric cameras. In: Computer vision and pattern recognition (CVPR), San Diego, pp 748–753

    Google Scholar 

  14. Ramalingam S, Sturm P, Lodha S (2006) Theory and calibration algorithms for axial cameras. In: ACCV, Hyderabad

    Google Scholar 

  15. Yagi Y, Kawato S (1990) Panoramic scene analysis with conic projection. In: International conference on robots and systems (IROS), Cincinnati

    Google Scholar 

  16. Bogner S (1995) Introduction to panoramic imaging. In: IEEE SMC, New York, vol 54, pp 3100–3106

    Google Scholar 

  17. Hong J (1991) Image based homing. In: International conference on robotics and automation, Sacramento

    Book  Google Scholar 

  18. Murphy JR (1995) Application of panoramic imaging to a teleoperated lunar rover. In: IEEE SMC conference, Vancouver, pp 3117–3121

    Google Scholar 

  19. Nayar S, Branzoi V, Boult T (2004) Programmable imaging using a digital micromirror array. In: International conference on computer vision and pattern recognition (CVPR), Washington, DC, pp 436–443

    Google Scholar 

  20. Pajdla T (2002) Stereo with oblique cameras. Int J Comput Vis 47(1):161-170

    Article  MATH  Google Scholar 

  21. Geyer C, Daniilidis K (2000) A unifying theory of central panoramic systems and practical implications. In: European conference on computer vision (ECCV), Dublin, pp 159–179

    Google Scholar 

  22. Grossberg M, Nayar S (2001) A general imaging model and a method for finding its parameters. In: International conference on computer vision (ICCV), Vancouver, vol 2, pp  108–115

    Google Scholar 

  23. Sturm P, Ramalingam S (2004) A generic concept for camera calibration. In: European conference on computer vision (ECCV), Prague, vol 2, pp 1–13

    Google Scholar 

  24. Ramalingam S, Sturm P, Lodha S (2005) Towards complete generic camera calibration. In: Conference on computer vision and pattern recognition (CVPR), San Diego

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mitsubishi Electric Research Laboratories, Cambridge, MA, USA

    Srikumar Ramalingam

Authors
  1. Srikumar Ramalingam
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Industrial Science, The University of Tokyo, Tokyo, Japan

    Katsushi Ikeuchi

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer Science+Business Media New York

About this entry

Cite this entry

Ramalingam, S. (2014). Catadioptric Camera. In: Ikeuchi, K. (eds) Computer Vision. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-31439-6_486

Download citation

Publish with us

Policies and ethics

Search

Navigation