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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 20 — Sep. 26, 2011
  • pp: 19681–19687

Three-dimensional photon counting integral imaging reconstruction using penalized maximum likelihood expectation maximization

Doron Aloni, Adrian Stern, and Bahram Javidi  »View Author Affiliations


Optics Express, Vol. 19, Issue 20, pp. 19681-19687 (2011)
http://dx.doi.org/10.1364/OE.19.019681


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Abstract

Recent works have demonstrated that three-dimensional (3D) object reconstruction is possible from integral images captured in severely photon starved conditions. In this paper we propose an iterative approach to implement a maximum likelihood expectation maximization estimator with several types of regularization for 3D reconstruction from photon counting integral images. We show that the proposed algorithms outperform the previously reported approaches for photon counting 3D integral imaging reconstruction. To the best of our knowledge, this is the first report on using iterative statistical reconstruction techniques for 3D photon counting integral imaging.

© 2011 OSA

OCIS Codes
(030.5260) Coherence and statistical optics : Photon counting
(100.3010) Image processing : Image reconstruction techniques
(100.6890) Image processing : Three-dimensional image processing
(110.6880) Imaging systems : Three-dimensional image acquisition
(110.1758) Imaging systems : Computational imaging

ToC Category:
Image Processing

History
Original Manuscript: May 16, 2011
Revised Manuscript: August 22, 2011
Manuscript Accepted: August 29, 2011
Published: September 23, 2011

Citation
Doron Aloni, Adrian Stern, and Bahram Javidi, "Three-dimensional photon counting integral imaging reconstruction using penalized maximum likelihood expectation maximization," Opt. Express 19, 19681-19687 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-20-19681


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References

  1. A. Stern and B. Javidi, “Three dimensional image sensing, visualization, and processing using integral imaging,” Proc. IEEE94(3), 591–607 (2006). [CrossRef]
  2. G. Lippmann, “La photographie integrale,” C. R. Acad. Sci.146, 446–451 (1908).
  3. B. Javidi, R. Ponce-Díaz, and S.-H. Hong, “Three-dimensional recognition of occluded objects by using computational integral imaging,” Opt. Lett.31(8), 1106–1108 (2006). [CrossRef] [PubMed]
  4. B. Javidi, F. Okano, and J.-Y. Son, eds., Three-Dimensional Imaging, Visualization, and Display (Springer, 2008).
  5. T. Okoshi, “Three-dimensional displays,” Proc. IEEE68(5), 548–564 (1980). [CrossRef]
  6. H. Hoshino, F. Okano, H. Isono, and I. Yuyama, “Analysis of resolution limitation of integral photography,” J. Opt. Soc. Am. A15(8), 2059–2065 (1998). [CrossRef]
  7. R. Martinez-Cuenca, G. Saavedra, M. Martinez-Corral, and B. Javidi, “Progress in 3-D multiperspective display by integral imaging,” Proc. IEEE97(6), 1067–1077 (2009). [CrossRef]
  8. M. C. Forman, N. Davies, and M. McCormick, “Continuous parallax in discrete pixelated integral three-dimensional displays,” J. Opt. Soc. Am. A20(3), 411–420 (2003). [CrossRef] [PubMed]
  9. F. Okano, J. Arai, K. Mitani, and M. Okui, “Real-time integral imaging based on extremely high resolution video system,” Proc. IEEE94(3), 490–501 (2006). [CrossRef]
  10. B. Javidi, S.-H. Hong, and O. Matoba, “Multidimensional optical sensor and imaging system,” Appl. Opt.45(13), 2986–2994 (2006). [CrossRef] [PubMed]
  11. H. Arimoto and B. Javidi, “Integral three-dimensional imaging with digital reconstruction,” Opt. Lett.26(3), 157–159 (2001). [CrossRef] [PubMed]
  12. S. Yeom, B. Javidi, and E. Watson, “Photon counting passive 3D image sensing for automatic target recognition,” Opt. Express13(23), 9310–9330 (2005). [CrossRef] [PubMed]
  13. B. Tavakoli, B. Javidi, and E. Watson, “Three dimensional visualization by photon counting computational Integral Imaging,” Opt. Express16(7), 4426–4436 (2008). [CrossRef] [PubMed]
  14. J. Jung, M. Cho, D. K. Dey, and B. Javidi, “Three-dimensional photon counting integral imaging using Bayesian estimation,” Opt. Lett.35(11), 1825–1827 (2010). [CrossRef] [PubMed]
  15. I. Moon and B. Javidi, “Three dimensional imaging and recognition using truncated photon counting model and parametric maximum likelihood estimator,” Opt. Express17(18), 15709–15715 (2009). [CrossRef] [PubMed]
  16. I. Moon and B. Javidi, “Three-dimensional recognition of photon-starved events using computational integral imaging and statistical sampling,” Opt. Lett.34(6), 731–733 (2009). [CrossRef] [PubMed]
  17. J. W. Goodman, Statistical Optics (Wiley, 1985).
  18. M. Bertero, P. Boccacci, G. Desidera, and G. Vicidomini, “Image deblurring with Poisson data: from cells to galaxies,” Inverse Probl.25(12), 123006 (2009). [CrossRef]
  19. R. M. Lewitt and S. Matej, “Overview of methods for image reconstruction from projections in emission computed tomography,” Proc. IEEE91(10), 1588–1611 (2003). [CrossRef]
  20. S. Geman and D. Geman, “Stochastic relaxation, Gibbs distributions and Baysesian restoration of images,” IEEE Trans. Pattern Anal. Mach. Intell.PAMI-6(6), 721–741 (1984). [CrossRef]
  21. S. Alenius and U. Ruotsalainen, “Generalization of median root prior reconstruction,” IEEE Trans. Med. Imaging21(11), 1413–1420 (2002). [CrossRef] [PubMed]
  22. V. Y. Panin, G. L. Zeng, and G. T. Gullberg, “Total variation regulated EM algorithm [SPECT reconstruction],” IEEE Trans. Nucl. Sci.46(6), 2202–2210 (1999). [CrossRef]
  23. N. Dey, L. Blanc-Feraud, C. Zimmer, P. Roux, Z. Kam, J. C. Olivo-Marin, and J. Zerubia, “Richardson-Lucy algorithm with total variation regularization for 3D confocal microscope deconvolution,” Microsc. Res. Tech.69(4), 260–266 (2006). [CrossRef] [PubMed]

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