OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 20 — Jul. 10, 2013
  • pp: 4959–4968

Perspective rectification of integral images produced using arrays of circular lenses

E. T. Koufogiannis, N. P. Sgouros, and M. S. Sangriotis  »View Author Affiliations


Applied Optics, Vol. 52, Issue 20, pp. 4959-4968 (2013)
http://dx.doi.org/10.1364/AO.52.004959


View Full Text Article

Enhanced HTML    Acrobat PDF (1187 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

There are many different three-dimensional (3D) techniques to capture and deliver autostereoscopic 3D content. A promising technique that provides two-dimensional parallax as well as high-quality, full-color 3D content is integral imaging (InI). Misalignments between the lens arrays (LAs) and the camera charged coupled device, however, introduce geometric distortions in the acquired image that propagate through the different image processing stages and deteriorate the 3D effect. Here, we propose a method to accurately rectify the perspective distortion of integral images (InIms) generated using circular lenses. Using an edge-linking approach, we extracted elliptically shaped contours of elemental images in the perspectively distorted InIm. To calculate the rectification matrix, we used the images of the circular points. Subsequently, we applied a triangulation scheme followed by a statistical approach to accurately estimate the grid structure of the LA. Finally, we provided experimental results over a wide range of InIms to evaluate the robustness and accuracy of the proposed method using objective metrics.

© 2013 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(100.5010) Image processing : Pattern recognition
(100.6890) Image processing : Three-dimensional image processing
(110.2990) Imaging systems : Image formation theory
(110.3010) Imaging systems : Image reconstruction techniques

ToC Category:
Image Processing

History
Original Manuscript: April 5, 2013
Revised Manuscript: June 6, 2013
Manuscript Accepted: June 6, 2013
Published: July 9, 2013

Citation
E. T. Koufogiannis, N. P. Sgouros, and M. S. Sangriotis, "Perspective rectification of integral images produced using arrays of circular lenses," Appl. Opt. 52, 4959-4968 (2013)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-52-20-4959


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. G. Lippmann, “La photographie integràle,” Comptes-Rendus Academie des Sciences 146, 446–451 (1908).
  2. J.-Y. Son and B. Javidi, “Three-dimensional imaging methods based on multiview images,” J. Display Technol. 1, 125 (2005). [CrossRef]
  3. J.-H. Park, Y. Kim, J. Kim, S.-W. Min, and B. Lee, “Three-dimensional display scheme based on integral imaging with three-dimensional information processing,” Opt. Express 12, 6020–6032 (2004). [CrossRef]
  4. J.-S. Jang and B. Javidi, “Formation of orthoscopic three-dimensional real images in direct pickup one-step integral imaging,” Opt. Eng. 42, 1869–1870 (2003). [CrossRef]
  5. Y.-T. Lim, J.-H. Park, K.-C. Kwon, and N. Kim, “Resolution-enhanced integral imaging microscopy that uses lens array shifting,” Opt. Express 17, 19253–19263 (2009). [CrossRef]
  6. G. Passalis, N. Sgouros, S. Athineos, and T. Theoharis, “Enhanced reconstruction of three-dimensional shape and texture from integral photography images,” Appl. Opt. 46, 5311–5320 (2007). [CrossRef]
  7. J.-H. Park, K. Hong, and B. Lee, “Recent progress in three-dimensional information processing based on integral imaging,” Appl. Opt. 48, H77–H94 (2009). [CrossRef]
  8. N. Sgouros, I. Kontaxakis, and M. Sangriotis, “Effect of different traversal schemes in integral image coding,” Appl. Opt. 47, D28–D37 (2008). [CrossRef]
  9. D. Liebowitz and A. Zisserman, “Metric rectification for perspective images of planes,” in Proceedings of the 1998 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No. 98CB36231) (IEEE, 1998), pp. 482–488.
  10. K. Hong, J. Hong, J.-H. Jung, J.-H. Park, and B. Lee, “Rectification of elemental image set and extraction of lens lattice by projective image transformation in integral imaging,” Opt. Express 18, 12002–12016 (2010). [CrossRef]
  11. E. T. Koufogiannis, N. P. Sgouros, and M. S. Sangriotis, “Robust integral image rectification framework using perspective transformation supported by statistical line segment clustering,” Appl. Opt. 50, H265–H277 (2011). [CrossRef]
  12. E. T. Koufogiannis, N. P. Sgouros, and M. S. Sangriotis, “Perspective rectification of integral images produced using hexagonal lens arrays,” in IIH-MSP 2012: The Eighth International Conference on Intelligent Information Hiding and Multimedia Signal Processing (IEEE, 2012), pp. 75–78.
  13. R. I. Hartley and A. Zisserman, Multiple View Geometry in Computer Vision, 2nd ed. (Cambridge University, 2004).
  14. H. Ip and Y. Chen, “Planar rectification by solving the intersection of two circles under 2D homography,” Pattern Recogn. 38, 1117–1120 (2005). [CrossRef]
  15. M. Lourakis, “Plane metric rectification from a single view of multiple coplanar circles,” in Proceedings of the International Conference on Image Processing (ICIP) (IEEE, 2009), pp. 509–512.
  16. N. Otsu, “A threshold selection method from gray-level histograms,” IEEE Trans. Syst. Man Cybern. 9, 62–66 (1979). [CrossRef]
  17. R. C. Gonzalez and R. E. Woods, Digital Image Processing, 2nd ed. (Addison-Wesley, 2001).
  18. G. Bradski, “The OpenCV Library,” Dr. Dobb’s J. Software Tools 25 120, 122–125 (2000).
  19. P. Kovesi, “MATLAB and octave functions for computer vision and image processing,” http://www.csse.uwa.edu.au/~pk/Research/MatlabFns/index.html .
  20. S. S. Athineos, N. P. Sgouros, P. G. Papageorgas, D. E. Maroulis, M. S. Sangriotis, and N. G. Theofanous, “Photorealistic integral photography using a ray-traced model of capturing optics,” J. Electron. Imaging 15, 043007 (2006). [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