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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 29, Iss. 8 — Aug. 1, 2012
  • pp: 1556–1567

Compressive sensing computational ghost imaging

Vladimir Katkovnik and Jaakko Astola  »View Author Affiliations


JOSA A, Vol. 29, Issue 8, pp. 1556-1567 (2012)
http://dx.doi.org/10.1364/JOSAA.29.001556


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Abstract

The computational ghost imaging with a phase spatial light modulator (SLM) for wave field coding is considered. A transmission-mask amplitude object is reconstructed from multiple intensity observations. Compressive techniques are used in order to gain a successful image reconstruction with a number of observations (measurement experiments), which is smaller than the image size. Maximum likelihood style algorithms are developed, respectively, for Poissonian and approximate Gaussian modeling of random observations. A sparse and overcomplete modeling of the object enables the advanced high accuracy and sharp imaging. Numerical experiments demonstrate that an approximative Gaussian distribution with an invariant variance results in the algorithm that is efficient for Poissonian observations.

© 2012 Optical Society of America

OCIS Codes
(100.2000) Image processing : Digital image processing
(100.3010) Image processing : Image reconstruction techniques
(100.3190) Image processing : Inverse problems
(070.2025) Fourier optics and signal processing : Discrete optical signal processing

ToC Category:
Image Processing

History
Original Manuscript: March 19, 2012
Revised Manuscript: May 20, 2012
Manuscript Accepted: May 21, 2012
Published: July 12, 2012

Citation
Vladimir Katkovnik and Jaakko Astola, "Compressive sensing computational ghost imaging," J. Opt. Soc. Am. A 29, 1556-1567 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-8-1556

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