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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 17 — Jun. 10, 2009
  • pp: 3108–3119

Distortion correction of reconstructed three-dimensional image in an integral imaging system combined with a single imaging lens

Jang-Il Ser, Sungdo Cha, and Seung-Ho Shin  »View Author Affiliations

Applied Optics, Vol. 48, Issue 17, pp. 3108-3119 (2009)

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The integral imaging (II) system combined with a single imaging lens has provided many advantages to improve system performance and to extend its application area. When a single imaging lens forms an image, a depth and size distortion is a necessary result of imaging by lens law. Therefore the II system, employing a single imaging lens, is also accompanied with similar distortions. In the II system, the depth and size of the reconstructed image can be adjusted by parallax image array (PIA) scaling. With regard to these scaling effects, the distortion correction method in the II system combined with a single imaging lens has been investigated. The differential transfer function (DTF) is defined and theoretically derived for mathematical analysis of the distortion. By using DTF, the PIA scaling conditions for the distortion correction in the II system combined with the single imaging lens is obtained. Experimental results are presented and discussed in detail.

© 2009 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.6890) Image processing : Three-dimensional image processing

ToC Category:
Image Processing

Original Manuscript: December 1, 2008
Revised Manuscript: April 27, 2009
Manuscript Accepted: April 28, 2009
Published: June 1, 2009

Jang-Il Ser, Sungdo Cha, and Seung-Ho Shin, "Distortion correction of reconstructed three-dimensional image in an integral imaging system combined with a single imaging lens," Appl. Opt. 48, 3108-3119 (2009)

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  1. S.-H. Shin and B. Javidi, “Speckle-reduced three-dimensional volume holographic display by use of integral imaging,” Appl. Opt. 41, 2644-2649 (2002). [CrossRef] [PubMed]
  2. E. Buckley, A. Cable, N. Lawrence, and T. Wilkinson, “Viewing angle enhancement for two- and three-dimensional holographic displays with random superresolution phase masks,” Appl. Opt. 45, 7334-7341 (2006). [CrossRef] [PubMed]
  3. H. Yamamoto, M. Kouno, S. Muguruma, Y. Hayasaki, Y. Nagai, Y. Shimizu, and N. Nishida, “Enlargement of viewing area of stereoscopic full-color LED display by use of a parallax barrier,” Appl. Opt. 41, 6907-6919 (2002). [CrossRef] [PubMed]
  4. J.-Y. Son, V. V. Saveljev, J.-S. Kim, S.-S. Kim, and B. Javidi, “Viewing zones in three-dimensional imaging systems based on lenticular, parallax-barrier, and microlens-array plates,” Appl. Opt. 43, 4985-4992 (2004). [CrossRef] [PubMed]
  5. J.-Y. Son and B. Javidi, “Three-dimensional imaging methods based on multiview images,” J. Display Technol. 1, 125-140(2005). [CrossRef]
  6. A. Schmidt and A. Grasnick, “Multi-viewpoint autostereoscopic displays from 4D-Vision,” Proc. SPIE 4660, 212-221(2002). [CrossRef]
  7. G. Lippmann, “La photographic integrale,” C. R. Acad. Sci. 146, 446-451 (1908).
  8. S. Yeom and B. Javidi, “Three-dimensional distortion-tolerant object recognition using integral imaging,” Opt. Express 12, 5795-5809 (2004). [CrossRef] [PubMed]
  9. Y. Frael, E. Tajahuerce, O. Matoba, A. Castro, and B. Javidi, “Comparison of passive ranging integral imaging and active imaging digital holography for three-dimensional object recognition,” Appl. Opt. 43, 452-462 (2004). [CrossRef]
  10. Y. Frael and B. Javidi, “Digital three-dimensional image correlation by use of computer-reconstructed integral imaging,” Appl. Opt. 41, 5488-5495 (2002). [CrossRef]
  11. S.-W. Min, J. Hong, and B. Lee, “Analysis of an optical depth converter used in a three-dimensional integral imaging system,” Appl. Opt. 43, 4539-4549 (2004). [CrossRef] [PubMed]
  12. O. Matoba and B. Javidi, “Three-dimensional polarimetric integral imaging,” Opt. Lett. 29, 2375-2377 (2004). [CrossRef] [PubMed]
  13. J.-S. Jang and B. Javidi, “Three-dimensional projection integral imaging using micro-convex-mirror arrays,” Opt. Express 12, 1077-1083 (2004). [CrossRef] [PubMed]
  14. J. Hong, J.-H. Park, S. Jung, and B. Lee, “Depth-enhanced integral imaging by use of optical path control,” Opt. Lett. 29, 1790-1792 (2004). [CrossRef] [PubMed]
  15. J. Arai, F. Okano, H. Hoshino, and I. Yuyama, “Gradient-index lens-array method based on real-time integral photography for three-dimensional images,” Appl. Opt. 37, 2034-2045(1998). [CrossRef]
  16. N. Davies, M. McCormick, and M. Brewin, “Design and analysis of an image transfer system using microlens arrays,” Opt. Eng. 33, 3624-3633 (1994). [CrossRef]
  17. D.-H. Shin, B. Lee, and E.-S. Kim, “Multidirectional curved integral imaging with large depth by additional use of a large-aperture lens,” Appl. Opt. 45, 7375-7381 (2006). [CrossRef] [PubMed]
  18. J.-S. Jang and B. Javidi, “Depth and lateral size control of three-dimensional images in projection integral imaging,” Opt. Express 12, 3778-3790 (2004). [CrossRef] [PubMed]
  19. S.-W. Min, M. Hahn, J. Kim, and B. Lee, “Three-dimensional electro-floating display system using integral imaging method,” Opt. Express 13, 4358-4369 (2005). [CrossRef] [PubMed]
  20. T. Naemura, T. Yoshida, and H. Harashima, “3-D computer graphics based on integral photography,” Opt. Express 8, 255-262 (2001). [CrossRef] [PubMed]
  21. B.Javidi and F.Okano, eds., Three-Dimensional Television, Video, and Display Technologies (Springer, 2002), pp. 101-123.
  22. M. Okui, J. Arai, Y. Nojiri, and F. Okano, “Optical screen for direct projection of integral imaging,” Appl. Opt. 45, 9132-9139 (2006). [CrossRef] [PubMed]
  23. F. Okano, H. Hoshino, J. Arai, and I. Yuyama, “Real-time pickup method for a three-dimensional image based on integral photography,” Appl. Opt. 36, 1598-1603 (1997). [CrossRef] [PubMed]
  24. J. Kim, S.-W. Min, Y. Kim, B. Lee, “Analysis on viewing characteristics of an integral floating system,” Appl. Opt. 47, D80-D86 (2008). [CrossRef] [PubMed]

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