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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 4 — Feb. 13, 2012
  • pp: 4260–4271

Progressive compressive imaging from Radon projections

Sergei Evladov, Ofer Levi, and Adrian Stern  »View Author Affiliations


Optics Express, Vol. 20, Issue 4, pp. 4260-4271 (2012)
http://dx.doi.org/10.1364/OE.20.004260


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Abstract

In this work we propose a unique sampling scheme of Radon Projections and a non-linear reconstruction algorithm based on compressive sensing (CS) theory to implement a progressive compressive sampling imaging system. The progressive sampling scheme offers online control of the tradeoff between the compression and the quality of reconstruction. It avoids the need of a priori knowledge of the object sparsity that is usually required for CS design. In addition, the progressive data acquisition enables straightforward application of ordered-subsets algorithms which overcome computational constraints associated with the reconstruction of very large images. We present, to the best of our knowledge for the first time, a compressive imaging implementation of megapixel size images with a compression ratio of 20:1.

© 2012 OSA

OCIS Codes
(110.0110) Imaging systems : Imaging systems
(110.1758) Imaging systems : Computational imaging

ToC Category:
Imaging Systems

History
Original Manuscript: December 20, 2011
Manuscript Accepted: January 27, 2012
Published: February 6, 2012

Citation
Sergei Evladov, Ofer Levi, and Adrian Stern, "Progressive compressive imaging from Radon projections," Opt. Express 20, 4260-4271 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-4-4260


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References

  1. A. Stern and B. Javidi, “Random projections imaging with extended space-bandwidth product,” J. Disp. Technol.3(3), 315–320 (2007). [CrossRef]
  2. E. J. Candes and M. B. Wakin, “An introduction to compressive sampling,” IEEE Signal Process. Mag.25(2), 21–30 (2008). [CrossRef]
  3. D. L. Donoho, “Compressed sensing,” IEEE Trans. Inf. Theory52(4), 1289–1306 (2006). [CrossRef]
  4. Y. Rivenson and A. Stern, “An efficient method for multi-dimensional compressive imaging,” Computational Optical Sensing and Imaging, COSI OSA Technical Digest (CD), paper CTuA4 (2009).
  5. R. M. Willett, R. F. Marcia, and J. M. Nichols, “Compressed sensing for practical optical imaging systems: a tutorial,” Opt. Eng.50(7), 072601 (2011). [CrossRef]
  6. A. Stern, “Compressed imaging system with linear sensors,” Opt. Lett.32(21), 3077–3079 (2007). [CrossRef] [PubMed]
  7. A. Stern, O. Levi, and Y. Rivenson, “Optically compressed sensing by under sampling the polar Fourier plane,” J. Phys. Conf. Ser.206, 012019 (2010). [CrossRef]
  8. E. J. Candes, J. Romberg, and T. Tao, “Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information,” IEEE Trans. Inf. Theory52(2), 489–509 (2006). [CrossRef]
  9. M. Lustig, D. L. Donoho, J. M. Santos, and J. M. Pauly, “Compressed sensing MRI,” IEEE Signal Process. Mag.25(2), 72–82 (2008). [CrossRef]
  10. H. Niederreiter, Uniform Distribution of Sequences (Dover Publications, 2006).
  11. M. Kleider, B. Rafaely, B. Weiss, and E. Bachmat, “Golden-Ratio sampling for scanning circular microphone arrays,” IEEE Trans. Audio, Speech, Lang. Process.18, 2091–2098 (2010).
  12. M. Livio, The Golden Ratio: The Story of Phi, the World's Most Astonishing Number (Broadway Books, 2003).
  13. H. M. Hudson and R. S. Larkin, “Accelerated image reconstruction using ordered subsets of projection data,” IEEE Trans. Med. Imaging13(4), 601–609 (1994). [CrossRef] [PubMed]
  14. H. Zaidi, Quantitative Analysis in Nuclear Medicine Imaging (Springer, 2006).
  15. J. M. Bioucas-Dias and M. A. T. Figueiredo, “A new twIst: two-step iterative shrinkage/thresholding algorithms for image restoration,” IEEE Trans. Image Process.16(12), 2992–3004 (2007). [CrossRef] [PubMed]

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