## Compressive sensing computational ghost imaging |

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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