OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 11 — May. 24, 2010
  • pp: 12002–12016

Rectification of elemental image set and extraction of lens lattice by projective image transformation in integral imaging

Keehoon Hong, Jisoo Hong, Jae-Hyun Jung, Jae-Hyeung Park, and Byoungho Lee  »View Author Affiliations

Optics Express, Vol. 18, Issue 11, pp. 12002-12016 (2010)

View Full Text Article

Enhanced HTML    Acrobat PDF (5227 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We propose a new method for rectifying a geometrical distortion in the elemental image set and extracting an accurate lens lattice lines by projective image transformation. The information of distortion in the acquired elemental image set is found by Hough transform algorithm. With this initial information of distortions, the acquired elemental image set is rectified automatically without the prior knowledge on the characteristics of pickup system by stratified image transformation procedure. Computer-generated elemental image sets with distortion on purpose are used for verifying the proposed rectification method. Experimentally-captured elemental image sets are optically reconstructed before and after the rectification by the proposed method. The experimental results support the validity of the proposed method with high accuracy of image rectification and lattice extraction.

© 2010 OSA

OCIS Codes
(100.6890) Image processing : Three-dimensional image processing
(110.2990) Imaging systems : Image formation theory
(110.6880) Imaging systems : Three-dimensional image acquisition

ToC Category:
Image Processing

Original Manuscript: April 2, 2010
Revised Manuscript: May 12, 2010
Manuscript Accepted: May 13, 2010
Published: May 21, 2010

Keehoon Hong, Jisoo Hong, Jae-Hyun Jung, Jae-Hyeung Park, and Byoungho Lee, "Rectification of elemental image set and extraction of lens lattice by projective image transformation in integral imaging," Opt. Express 18, 12002-12016 (2010)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. G. Lippmann, “La photographie integrále,” C.R. Acad. Sci Ser. IIc: Chim. 146, 446–451 (1908).
  2. B. Lee, J.-H. Park, and S.-W. Min, Digital Holography and Three-Dimensional Display, T.-C. Poon, ed. (Springer US, 2006), Chap. 12.
  3. J.-H. Park, K. Hong, and B. Lee, “Recent progress in three-dimensional information processing based on integral imaging,” Appl. Opt. 48(34), H77–H94 (2009). [CrossRef] [PubMed]
  4. M. C. Forman, N. Davies, and M. McCormick, “Continuous parallax in discrete pixilated integral three-dimensional displays,” J. Opt. Soc. Am. A 20(3), 411–420 (2003). [CrossRef]
  5. 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(7), 1598–1603 (1997). [CrossRef] [PubMed]
  6. J.-H. Park, S. Jung, H. Choi, Y. Kim, and B. Lee, “Depth extraction by use of a rectangular lens array and one-dimensional elemental image modification,” Appl. Opt. 43(25), 4882–4895 (2004). [CrossRef] [PubMed]
  7. J.-H. Park, S. Jung, H. Choi, and B. Lee, “Detection of the longitudinal and the lateral positions of a three-dimensional object using a lens array and joint transform correlator,” Opt. Mem. Neural Networks. 11, 181–188 (2002).
  8. G. Passalis, N. Sgouros, S. Athineos, and T. Theoharis, “Enhanced reconstruction of three-dimensional shape and texture from integral photography images,” Appl. Opt. 46(22), 5311–5320 (2007). [CrossRef] [PubMed]
  9. D.-H. Shin and E.-S. Kim, “Computational integral imaging reconstruction of 3D object using a depth conversion technique,” J. Opt. Soc. Korea 12(3), 131–135 (2008). [CrossRef]
  10. M. Kawakita, H. Sasaki, J. Arai, F. Okano, K. Suehiro, Y. Haino, M. Yoshimura, and M. Sato, “Geometric analysis of spatial distortion in projection-type integral imaging,” Opt. Lett. 33(7), 684–686 (2008). [CrossRef] [PubMed]
  11. J. Arai, M. Okui, M. Kobayashi, and F. Okano, “Geometrical effects of positional errors in integral photography,” J. Opt. Soc. Am. A 21(6), 951–958 (2004). [CrossRef]
  12. A. Aggoun, “Pre-processing of integral images for 3-D displays,” J. Display Technol. 2(4), 393–400 (2006). [CrossRef]
  13. N. P. Sgouros, S. S. Athineos, M. S. Sangriotis, P. G. Papageorgas, and N. G. Theofanous, “Accurate lattice extraction in integral images,” Opt. Express 14(22), 10403–10409 (2006). [CrossRef] [PubMed]
  14. J.-J. Lee, D.-H. Shin, and B.-G. Lee, “Simple correction method of distorted elemental images using surface markers on lenslet array for computational integral imaging reconstruction,” Opt. Express 17(20), 18026–18037 (2009). [CrossRef] [PubMed]
  15. R. C. Gonzalez, R. E. Woods, and S. L. Eddins, Digital Image Processing using MATLAB (Prentice Hall, 2004), Chap. 10.
  16. D. Liebowitz, and A. Zisserman, “Metric Rectification for Perspective Images of Planes,” in Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (Santa Barbara, CA, USA, June 23–25, 1998), p.482.
  17. R. Hartley, and A. Zisserman, Multiple View Geometry in Computer Vision, second ed. (Cambridge University Press, Cambridge, 2000).
  18. J. Delon, A. Desolneux, J.-L. Lisani, and A. B. Petro, “A nonparametric approach for histogram segmentation,” IEEE Trans. Image Process. 16(1), 253–261 (2007). [CrossRef] [PubMed]
  19. J. F. Canny, “A computational approach for edge detection,” Trans. Pat. Anal. Mach. Intell. 8, 679–698 (1986).
  20. http://epaperpress.com/ptlens/ .

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