OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 29, Iss. 9 — Sep. 1, 2012
  • pp: 1828–1837

Accurate geometrical optics model for single-lens stereovision system using a prism

Xiaoyu Cui, Kah Bin Lim, Qiyong Guo, and DaoLei Wang  »View Author Affiliations


JOSA A, Vol. 29, Issue 9, pp. 1828-1837 (2012)
http://dx.doi.org/10.1364/JOSAA.29.001828


View Full Text Article

Enhanced HTML    Acrobat PDF (1026 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

In this paper, we proposed a new method for analyzing the image formation of a prism. The prism was considered as a single optical system composed of some planes. By analyzing each plane individually and then combining them together, we derived a transformation matrix which can express the relationship between an object point and its image by the refraction of a prism. We also explained how to use this matrix for epipolar geometry and three-dimensional point reconstruction. Our method is based on optical geometry and could be used in a multiocular prism. Experimentation results are presented to prove the accuracy of our method is better than former researchers’ and is comparable with that of the multicamera stereovision system.

© 2012 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(150.1135) Machine vision : Algorithms

History
Original Manuscript: May 17, 2012
Manuscript Accepted: June 28, 2012
Published: August 9, 2012

Citation
Xiaoyu Cui, Kah Bin Lim, Qiyong Guo, and DaoLei Wang, "Accurate geometrical optics model for single-lens stereovision system using a prism," J. Opt. Soc. Am. A 29, 1828-1837 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-9-1828


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. C. Wheatstone, “Contributions to the physiology of vision-part the first. On some remarkable, and hitherto unobserved, phenomena of binocular vision,” Philos. Trans. R. Soc. London 128, 371–394 (1838). [CrossRef]
  2. J. A. Kalomiros and J. Lygouras, “Design and hardware implementation of a stereo-matching system based on dynamic programming,” Microprocess. Microsyst. 35, 496–509 (2011). [CrossRef]
  3. L. Cai, L. He, Y. Xu, Y. Zhao, and X. Yang, “Multi-object detection and tracking by stereo vision,” Pattern Recogn. 43, 4028–4041 (2010). [CrossRef]
  4. J. Swgen and S. Kumar, “Shadow gestures: 3D hand poses estimation using a single camera,” in Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (IEEE, 1999), pp. 479–485.
  5. X. Cao and H. Foroosh, “Camera calibration and light source orientation from solar shadows,” Comput. Vis. Image Underst. 105, 60–72 (2007). [CrossRef]
  6. Q. Z. Ye, S. H. Ong, and X. Han, “A stereovision system for the inspection of IC bonding wires,” Int. J. Imaging Syst. Technol. 11, 254–262 (2000). [CrossRef]
  7. Y. Nishimoto and Y. Shirai, “A feature-based stereo model using small disparities histograms of multi-resolution channels,” Adv. Robot. 3, 17–33 (1988). [CrossRef]
  8. W. Teoh and X. D. Zhang, “An inexpensive stereoscopic vision system for robots,” in Proceedings of IEEE International Conference on Robotics and Automation (IEEE, 1984), pp. 186–189.
  9. A. Goshtasby and W. A. Gruver, “Design of a single-lens stereo camera system,” Pattern Recogn. 26, 923–937 (1993). [CrossRef]
  10. D. H. Lee, I. Kweon, and R. Cipolla, “Single lens stereo with a biprism,” in Proceedings of IAPR Workshop on Machine Vision Applications (1998), pp. 17–19.
  11. D. H. Lee, I. Kweon, and R. Cipolla, “A biprism-stereo camera system,” in Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (IEEE, 1999), pp. 82–87.
  12. D. H. Lee and I. Kweon, “A novel stereo camera system by a biprism,” IEEE Trans. Robot. Autom. 16, 528–541 (2000). [CrossRef]
  13. K. B. Lim and Y. Xiao, “Virtual stereovision system: new understanding on single-lens stereovision using a biprism,” J. Electron. Imaging 14, 043020 (2005). [CrossRef]
  14. C. Y. Chen, T.-T. Yang, and W. S. Sun, “Optics system design applying a micro-prism array of a single lens stereo image pair,” Opt. Express 16, 15495–15505 (2008). [CrossRef]
  15. F. A. Hankins and H. E. White, Fundamentals of Optics (McGraw-Hill, 1976), pp. 30–31.
  16. Y. Xiao and K. B. Lim, “A prism-based single-lens stereovision system: from trinocular to multi-ocular,” Image Vis. Comput. 25, 1725–1736 (2007). [CrossRef]
  17. R. Wang, X. Li, and Y. Zhang, “Analysis and optimization of the stereo system with a four-mirror adapter,” J. Eur. Opt. Soc. 3, 1–7 (2008).
  18. M. Bass and W. V. Stryland, Handbook of Optics II (McGraw-Hill, 1995).
  19. E. Hecht, Theory and Problems of Optics, Schaum’s Outline Series (McGraw-Hill, 1975), pp. 142–143.
  20. M. J. Zhao and K. B. Lim, “Stereo matching of single-lens bi-prism based stereovision system,” in Proceedings of the 2010 International Conference on Future Information Technology (2010), pp. 179–183.
  21. Z. Zhang, “A flexible new technique for camera calibration,” IEEE Trans. Pattern Anal. Mach. Intell. 22, 1330–1334(2000). [CrossRef]

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