OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 4 — Feb. 1, 2011
  • pp: 405–414

Active illumination single-pixel camera based on compressive sensing

Filipe Magalhães, Francisco M. Araújo, Miguel V. Correia, Mehrdad Abolbashari, and Faramarz Farahi  »View Author Affiliations

Applied Optics, Vol. 50, Issue 4, pp. 405-414 (2011)

View Full Text Article

Enhanced HTML    Acrobat PDF (1157 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We present an optical imaging system based on compressive sensing (CS) along with its principal mathematical aspects. Although CS is undergoing significant advances and empowering many discussions and applications throughout various fields, this article focuses on the analysis of a single-pixel camera. This work was the core for the development of a single-pixel camera approach based on active illumination. Therefore, the active illumination concept is described along with the experimental results, which were very encouraging toward the development of compressive-sensing-based cameras for various applications, such as pixel-level programmable gain imaging.

© 2011 Optical Society of America

OCIS Codes
(110.0110) Imaging systems : Imaging systems
(110.1758) Imaging systems : Computational imaging
(110.3010) Imaging systems : Image reconstruction techniques

ToC Category:
Imaging Systems

Original Manuscript: October 14, 2010
Revised Manuscript: December 17, 2010
Manuscript Accepted: December 20, 2010
Published: January 26, 2011

Filipe Magalhães, Francisco M. Araújo, Miguel V. Correia, Mehrdad Abolbashari, and Faramarz Farahi, "Active illumination single-pixel camera based on compressive sensing," Appl. Opt. 50, 405-414 (2011)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. E. J. Candès and M. B. Wakin, “An introduction to compressive sampling,” IEEE Signal Process. Mag. 25, 21–30 (2008). [CrossRef]
  2. L. K. Kirk, “Rethinking signal processing,” Commun. ACM 52, 13–15 (2009). [CrossRef]
  3. J. F. Claerbout and F. Muir, “Robust modeling with erratic data,” Geophysics 38, 826–844 (1973). [CrossRef]
  4. S. Fadil and W. S. William, “Linear inversion of band-limited reflection seismograms,” SIAM J. Sci. Statist. Comput. 7, 1307–1330 (1986).
  5. E. J. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information,” IEEE Trans. Inf. Theory 52, 489–509 (2006). [CrossRef]
  6. E. Candès, J. Romberg, and T. Tao, “Stable signal recovery from incomplete and inaccurate measurements,” Commun. Pure Appl. Math. 59, 1207–1223 (2006). [CrossRef]
  7. D. Baron, M. B. Wakin, M. F. Duarte, S. Sarvotham, and R. G. Baraniuk, “Distributed compressive sensing,” http://arxiv.org/abs/0901.3403v1 (2005).
  8. M. Golbabaee and P. Vandergheynst, “Distributed compressed sensing for sensor networks, using thresholding,” Proc. SPIE 7446, 74461F (2009). [CrossRef]
  9. J. Haupt and R. Nowak, “Signal reconstruction from noisy random projections,” IEEE Trans. Inf. Theory 52, 4036–4048(2006). [CrossRef]
  10. M. Lustig, D. L. Donoho, and J. M. Pauly, “Rapid MR imaging with compressed sensing and randomly under-sampled 3DFT trajectories,” presented at the 14th Annual Meeting of the International Society for Magnetic Resonance in Medicine, Seattle, Washington, 6–12 May 2006.
  11. D. Takhar, J. N. Laska, M. B. Wakin, M. F. Duarte, D. Baron, S. Sarvotham, K. F. Kelly, and R. G. Baraniuk, “A new compressive imaging camera architecture using optical-domain compression,” Proc. SPIE 6065, 606509 (2006). [CrossRef]
  12. E. J. Candès and T. Tao, “Near-optimal signal recovery from random projections: universal encoding strategies?” IEEE Trans. Inf. Theory 52, 5406–5425 (2006). [CrossRef]
  13. E. J. Candès and T. Tao, “Decoding by linear programming,” IEEE Trans. Inf. Theory 51, 4203–4215 (2005). [CrossRef]
  14. E. J. Candès, “Compressive sampling,” in Proceedings of the International Congress of Mathematicians (ICM, 2006), pp. 1433–1452.
  15. R. G. Baraniuk, “Compressive sensing [lecture notes],” IEEE Signal Process. Mag. 24, 118–121 (2007). [CrossRef]
  16. E. J. Candès and J. Romberg, “Sparsity and incoherence in compressive sampling,” Inverse Probl. 23, 969–985 (2007). [CrossRef]
  17. S. Chen, D. Donoho, and M. Saunders, “Atomic decomposition by basis pursuit,” SIAM Rev. 43, 129–159 (2001). [CrossRef]
  18. J. A. Tropp and A. C. Gilbert, “Signal recovery from random measurements via orthogonal matching pursuit,” IEEE Trans. Inf. Theory 53, 4655–4666 (2007). [CrossRef]
  19. M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, S. Ting, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25, 83–91 (2008). [CrossRef]
  20. R. Baraniuk and K. Kelly, “Lecture 5: a single-pixel compressive camera,” retrieved from http://ima.umn.edu/2006-2007/ND6.4-15.07/activities/Baraniuk-Richard/baraniuk-IMA-CScamera-june07.pdf.
  21. Available at http://www.acm.caltech.edu/l1magic/.
  22. S. C. Park, M. K. Park, and M. G. Kang, “Super-resolution image reconstruction: a technical overview,” IEEE Signal Process. Mag. 20, 21–36 (2003). [CrossRef]
  23. D. Glasner, S. Bagon, and M. Irani, “Super-resolution from a single image,” in IEEE 12th International Conference on Computer Vision, 2009 (IEEE, 2009), pp. 349–356. [CrossRef]
  24. K. Kawase, Y. Ogawa, Y. Watanabe, and H. Inoue, “Non-destructive terahertz imaging of illicit drugs using spectral fingerprints,” Opt. Express 11, 2549–2554 (2003). [CrossRef] [PubMed]
  25. R. A. Hoebe, C. H. Van Oven, T. W. J. Gadella, P. B. Dhonukshe, C. J. F. Van Noorden, and E. M. M. Manders, “Controlled light-exposure microscopy reduces photobleaching and phototoxicity in fluorescence live-cell imaging,” Nat. Biotechnol. 25, 249–253 (2007). [CrossRef] [PubMed]
  26. W. L. Chan, K. Charan, D. Takhar, K. F. Kelly, R. G. Baraniuk, and D. M. Mittleman, “A single-pixel terahertz imaging system based on compressed sensing,” Appl. Phys. Lett. 93, 121105 (2008). [CrossRef]
  27. J. Bobin and J.-L. Starck, “Compressed sensing in astronomy and remote sensing: a data fusion perspective,” Proc. SPIE 7446, 74460I (2009). [CrossRef]
  28. J. Bobin, J. L. Starck, and R. Ottensamer, “Compressed sensing in astronomy,” IEEE J. Sel. Top. Signal Process. 2, 718–726 (2008). [CrossRef]
  29. J. H.G. Ender, “On compressive sensing applied to radar,” Signal Process. 90, 1402–1414 (2010). [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