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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 25 — Sep. 1, 2012
  • pp: 6031–6037

Improved resolution three-dimensional integral imaging using optimized irregular lens-array structure

Zahra Kavehvash, Khashayar Mehrany, and Saeed Bagheri  »View Author Affiliations

Applied Optics, Vol. 51, Issue 25, pp. 6031-6037 (2012)

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A rigorous approach is proposed to improve the resolution of integral imaging (InI) by finding the appropriate form of irregularity in the arrangement of the InI lenslets. The improvement of the resolution is achieved through redistribution of the sampling points in a uniform manner. The optimization process for finding the optimum pattern of the lens-array irregularity is carried out by minimizing a cost function, whose mathematical closed-form expression is provided. The minimization of the proposed cost function ensures the uniform distribution of sampling points and thus improves the resolution within the desired depth of field (DOF) and field of view (FOV). A set of standard resolution charts is used to demonstrate the improvement of the quality of the three-dimensional (3D) images obtained by using the optimized irregular lens array. It is shown that the overall level of the lateral and depth resolutions is improved at the same time.

© 2012 Optical Society of America

OCIS Codes
(110.3000) Imaging systems : Image quality assessment
(110.6880) Imaging systems : Three-dimensional image acquisition

ToC Category:
Imaging Systems

Original Manuscript: May 29, 2012
Revised Manuscript: July 26, 2012
Manuscript Accepted: July 26, 2012
Published: August 24, 2012

Zahra Kavehvash, Khashayar Mehrany, and Saeed Bagheri, "Improved resolution three-dimensional integral imaging using optimized irregular lens-array structure," Appl. Opt. 51, 6031-6037 (2012)

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  1. M. G. Lippmann, “Epreuves reversibles donnant la sensation du relief,” J. Phys. (Paris) 7, 821–825 (1908).
  2. H. E. Ives, “Optical properties of a Lippmann lenticulated sheet,” J. Opt. Soc. Am. 21, 171–176 (1931). [CrossRef]
  3. N. A. Valyus, Stereoscopy (Focal, 1966).
  4. R. L. de Montebello, “Wide angle integral-photography: the integram technique,” Proc. SPIE 120, 73–91 (1970).
  5. T. Okoshi, Three Dimensional Imaging Techniques (Academic, 1976).
  6. Y. A. Dudnikov, B. K. Rozhkov, and E. N. Antipova, “Obtaining a portrait of a person by the integral photography method,” Sov. J. Opt. Technol. 47, 562–563 (1980).
  7. J. Y. Son, B. Javidi, and K. -D. Kwack, “Methods for displaying 3D images,” Proc. IEEE 94, 502–523 (2006). [CrossRef]
  8. 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]
  9. J. S. Jang and B. Javidi, “Large depth-of-focus time-multiplexed three-dimensional integral imaging by use of lenslets with non-uniform focal lengths and aperture sizes,” Opt. Lett. 28, 1924–1926 (2003). [CrossRef]
  10. J. S. Jang and B. Javidi, “Very-large scale integral imaging (VLSII) for 3D display,” Opt. Eng. 44, 014001 (2005). [CrossRef]
  11. Y. Kim, J.-H. Park, H. Choi, S. Jung, S.-W. Min, and B. Lee, “Viewing-angle-enhanced integral imaging system using a curved lens array,” Opt. Express 12, 421–429 (2004). [CrossRef]
  12. Y. Kim, J.-H. Park, S. -W. Min, S. Jung, H. Choi, and B. Lee, “Wide-viewing-angle integral three-dimensional imaging system by curving a screen and a lens array,” Appl. Opt. 44, 546–552 (2005). [CrossRef]
  13. Z. Kavehvash, M. M. Corral, Kh. Mehrany, S. Bagheri, G. Saavedra, and H. Navarro, “Three-dimensional resolvability in an integral imaging system,” J. Opt. Soc. Am. A 29, 525–530 (2012). [CrossRef]
  14. R. Horisaki, Y. Nakao, T. Toyoda, K. Kagawa, Y. Masaki, and J. Tanida, “A Compound-eye system with irregular lens-array arrangement,” Proc. SPIE 7072, 70720G (2008). [CrossRef]
  15. Z. Kavehvash, Kh. Mehrany, and S. Bagheri, “Optimization of the lens-array structure for performance improvement of integral imaging,” Opt. Lett. 36, 3993–3995 (2011). [CrossRef]
  16. C. B. Barber, D. P. Dobkin, and H. T. Huhdanpaa, “The Quickhull algorithm for convex hulls,” ACM Trans. Math. Softw. 22, 469–483 (1996). [CrossRef]
  17. S.-H. Hong, J.-S. Jang, and B. Javidi, “Three-dimensional volumetric object reconstruction using computational integral imaging,” Opt. Express 12, 483–491 (2004). [CrossRef]
  18. A. Yontem and L. Onural, “Integral imaging using phase-only LCoS spatial light modulators as Fresnel lenslet arrays,” J. Opt. Soc. Am. A 28, 2359–2375 (2011). [CrossRef]

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