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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 17 — Jun. 10, 2010
  • pp: 3338–3347

Accuracy of fish-eye lens models

Ciarán Hughes, Patrick Denny, Edward Jones, and Martin Glavin  »View Author Affiliations

Applied Optics, Vol. 49, Issue 17, pp. 3338-3347 (2010)

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The majority of computer vision applications assumes that the camera adheres to the pinhole camera model. However, most optical systems will introduce undesirable effects. By far, the most evident of these effects is radial lensing, which is particularly noticeable in fish-eye camera systems, where the effect is relatively extreme. Several authors have developed models of fish-eye lenses that can be used to describe the fish-eye displacement. Our aim is to evaluate the accuracy of several of these models. Thus, we present a method by which the lens curve of a fish-eye camera can be extracted using well-founded assumptions and perspective methods. Several of the models from the literature are examined against this empirically derived curve.

© 2010 Optical Society of America

OCIS Codes
(100.2980) Image processing : Image enhancement
(110.6980) Imaging systems : Transforms
(150.1488) Machine vision : Calibration
(100.4994) Image processing : Pattern recognition, image transforms

ToC Category:
Image Processing

Original Manuscript: March 2, 2010
Revised Manuscript: May 11, 2010
Manuscript Accepted: May 14, 2010
Published: June 7, 2010

Ciarán Hughes, Patrick Denny, Edward Jones, and Martin Glavin, "Accuracy of fish-eye lens models," Appl. Opt. 49, 3338-3347 (2010)

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  1. D. C. Brown, “Decentering distortion of lenses,” Photograph. Eng. 32, 444–462 (1966).
  2. R. Tsai, “A versatile camera calibration technique for high-accuracy 3D machine vision metrology using off-the-shelf TV cameras and lenses,” IEEE Trans. Robot. Automat. 3, 323–344 (1987). [CrossRef]
  3. Z. Zhang, “A flexible new technique for camera calibration,” IEEE Trans. Pattern Anal. Mach. Intell. 22, 1330–1334 (2000). [CrossRef]
  4. A. Basu and S. Licardie, “Alternative models for fish-eye lenses,” Pattern Recogn. Lett. 16, 433–441 (1995). [CrossRef]
  5. F. Devernay and O. Faugeras, “Straight lines have to be straight: automatic calibration and removal of distortion from scenes of structured environments,” Mach. Vis. Appl. 13, 14–24 (2001). [CrossRef]
  6. C. Bräuer-Burchardt and K. Voss, “A new algorithm to correct fish-eye- and strong wide-angle-lens-distortion from single images,” in Proceedings of the IEEE International Conference on Image Processing (IEEE, 2001), pp. 225–228.
  7. A. W. Fitzgibbon, “Simultaneous linear estimation of multiple view geometry and lens distortion,” in Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (IEEE, 2001), pp. 125–132.
  8. D. Schneider, E. Schwalbe, and H.-G. Maas, “Validation of geometric models for fisheye lenses,” ISPRS J. Photogramm. Remote Sens. 64, 259–266 (2009). [CrossRef]
  9. C. Hughes, R. McFeely, P. Denny, M. Glavin, and E. Jones, “Equidistant (fθ) fish-eye perspective with application in distortion centre estimation,” Image Vis. Comput. 28, 538–551(2010). [CrossRef]
  10. R. I. Hartley and S. B. Kang, “Parameter-free radial distortion correction with center of distortion estimation,” IEEE Trans. Pattern Anal. Mach. Intell. 29, 1309–1321 (2007). [CrossRef] [PubMed]
  11. K. V. Asari, “Design of an efficient VLSI architecture for non-linear spatial warping of wide-angle camera images,” J. Syst. Architect. 50, 743–755 (2004). [CrossRef]
  12. J. Weng, P. Cohen, and M. Herniou, “Camera calibration with distortion models and accuracy evaluation,” IEEE Trans. Pattern Anal. Mach. Intell. 14, 965–980 (1992). [CrossRef]
  13. G. P. Stein, “Internal camera calibration using rotation and geometric shapes,” M.S. thesis (MIT, 1993).
  14. R. I. Hartley and A. Zisserman, Multiple View Geometry in Computer Vision, 2nd ed. (Cambridge U. Press, 2004). [CrossRef]
  15. G. Xu, J. Terai, and H.-Y. Shum, “A linear algorithm for camera self-calibration, motion and structure recovery for multi-planar scenes from two perspective images,” in Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (IEEE, 2000), pp. 474–479.
  16. K. Miyamoto, “Fish eye lens,” J. Opt. Soc. Am. 54, 1060–1061 (1964). [CrossRef]
  17. S. Shah and J. K. Aggarwal, “Intrinsic parameter calibration procedure for a (high-distortion) fish-eye lens camera with distortion model and accuracy estimation,” Pattern Recogn. 29, 1775–1788 (1996). [CrossRef]
  18. B. B. Jähne, Digital Image Processing, 5th ed. (Springer-Verlag, 2002), Chap. 12.
  19. Z. Wang, W. Wu, X. Xu, and D. Xue, “Recognition and location of the internal corners of planar checkerboard calibration pattern image,” Appl. Math. Comput. 185, 894–906 (2007). [CrossRef]
  20. D. W. Marquardt, “An algorithm for least-squares estimation of nonlinear parameters,” SIAM J. Appl. Math. 11, 431–441(1963). [CrossRef]
  21. W. S. Cleveland and S. J. Devlin, “Locally weighted regression: an approach to regression analysis by local fitting,” J. Am. Stat. Assoc. 83, 596–610 (1988). [CrossRef]
  22. D. G. Lowe, “Object recognition from local scale-invariant features,” Proceedings of the IEEE International Conference on Computer Vision (IEEE, 1999), pp. 1150–1157. [CrossRef]

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