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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 35, Iss. 8 — Apr. 15, 2010
  • pp: 1148–1150

Super-resolution and reconstruction of sparse images carried by incoherent light

Yoav Shechtman, Snir Gazit, Alexander Szameit, Yonina C. Eldar, and Mordechai Segev  »View Author Affiliations


Optics Letters, Vol. 35, Issue 8, pp. 1148-1150 (2010)
http://dx.doi.org/10.1364/OL.35.001148


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Abstract

We demonstrate theoretically and experimentally the reconstruction of images borne on incoherent light at a resolution greatly exceeding the finest resolution defined by the NA of the system. Our method relies on compressed sensing techniques, which assume that the object is sparse in a known basis, and only that. The approach is robust against noise and can be used for reconstructing subwavelength images through measurements taken in the optical far field.

© 2010 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.6640) Image processing : Superresolution
(170.0180) Medical optics and biotechnology : Microscopy

ToC Category:
Image Processing

History
Original Manuscript: January 11, 2010
Manuscript Accepted: February 1, 2010
Published: April 9, 2010

Virtual Issues
Vol. 5, Iss. 9 Virtual Journal for Biomedical Optics

Citation
Yoav Shechtman, Snir Gazit, Alexander Szameit, Yonina C. Eldar, and Mordechai Segev, "Super-resolution and reconstruction of sparse images carried by incoherent light," Opt. Lett. 35, 1148-1150 (2010)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-35-8-1148


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References

  1. J. W. Goodman, Introduction to Fourier Optics, 3rd ed. (Englewood, 2005).
  2. A. Lewis, M. Isaacson, A. Harootunian, and A. Muray, Ultramicroscopy 13, 227 (1984). [CrossRef]
  3. E. Betzig, J. J. Trautman, T. D. Harris, J. S. Weiner, and R. L. Kostelak, Science 251, 1468 (1991). [CrossRef] [PubMed]
  4. F. M. Huang, T. S. Kao, V. A. Fedotov, Y. Chen, and N. I. Zheludev, Nano Lett. 8, 2469 (2008). [CrossRef] [PubMed]
  5. A. Yildiz, J. N. Forkey, S. A. McKinney, T. Ha, Y. E. Goldman, and P. R. Selvin, Science 300, 2061 (2003). [CrossRef] [PubMed]
  6. S. W. Hell, R. Schmidt, and A. Egner, Nature Photon. 3, 381 (2009). [CrossRef]
  7. J. Pendry, Phys. Rev. Lett. 85, 3966 (2000). [CrossRef] [PubMed]
  8. N. Fang, H. Lee, C. Sun, and X. Zhang, Science 308, 534 (2005). [CrossRef] [PubMed]
  9. Z. Jacob, L. V. Alekseyev, and E. Narimanov, Opt. Express 14, 8247 (2006). [CrossRef] [PubMed]
  10. A. Salandrino and N. Engheta, Phys. Rev. B 74, 075103 (2006). [CrossRef]
  11. Z. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, Science 315, 1686 (2007). [CrossRef] [PubMed]
  12. I. I. Smolyaninov, Y. J. Hung, and C. C. Davis, Science 315, 1699 (2007). [CrossRef] [PubMed]
  13. A. Papoulis, IEEE Trans. Circuits Syst. 22, 735 (1975). [CrossRef]
  14. R. W. Gerchberg, J. Mod. Opt. 21, 709 (1974).
  15. B. R. Hunt, Int. J. Imaging Syst. Technol. 6, 297 (1995). [CrossRef]
  16. S. Gazit, A. Szameit, Y. C. Eldar, and M. Segev, Opt. Express 17, 23920 (2009). [CrossRef]
  17. E. J. Candes and T. Tao, IEEE Trans. Inf. Theory 52, 5406 (2006). [CrossRef]
  18. D. L. Donoho, IEEE Trans. Inf. Theory 52, 1289 (2006). [CrossRef]
  19. P. Sementilli, B. R. Hunt, and M. S. Nadar, J. Opt. Soc. Am. A 10, 2265 (1993). [CrossRef]
  20. A. M. Bruckstein, D. L. Donoho, and M. Elad, SIAM Rev. 51, 34 (2009). [CrossRef]
  21. Y. C. Eldar, IEEE Trans. Signal Process. 57, 2986 (2009). [CrossRef]
  22. M. Mishali and Y. C. Eldar, IEEE J. Sel. Top. Signal Process. 4, 375 (2010). [CrossRef]
  23. J. A. Tropp, IEEE Trans Info. Theory 50, 2231 (2004). [CrossRef]
  24. D. L. Donoho, M. Elad, and V. M. Temlyakov, IEEE Trans. Inf. Theory 52, 6 (2006). [CrossRef]
  25. S. S. Chen, D. L. Donoho, and M. A. Saunders, SIAM J. Sci. Comput. (USA) 20, 33 (1998). [CrossRef]

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