Compressive sensing computational ghost imaging英文精品课件
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P. O. Box 553, Tampere, Finland, vladimir.katkovnik@tut.….
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The computational ghost imaging with a phase spatial light modulator (SLM) for wave …eld 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 these observations (measurement experiments) which is smaller that 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 which is quite simple in implementations and nevertheless e¢ cient for Poissonian observations. c 2012 Optical Society of America
OCIS codes: 070.2025, 100.2000, 100.3010, 100.3190
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1. uction
In the chaotic pseudothermal light ghost imaging (GI) a laser beam illuminates an transmission mask object and a transmitted light is collected by a single-pixel (bucket) sensor with no spatial resolution. The reconstruction of the object transmission is formed by correlating the bucket sensor’s output with the output from a spatially resolving sensor that is illuminated by a reference beam correlated with the signal beam but has not interacted with the object.
There is a long list of publications that run the gamut from various experimental realizations to discussions of fundamental classical and quantum physics behind GI. Initially, it is demonstrated by Pittman et al. [1] that GI is enabled by speci…cally quantum e¤ects. The discovery, that GI could be performed with the pseudothermal light, proved that GI admits the classical (coherence theory and statistical optics) and quantum-mechanical (nonlocal two-photon interference) interpretations. The both interpretations have been successfully used to analyze the thermal-light GI and to predict experimental observations [2, 3]. It has been demonstrated that the pseudothermal GI results from correlation of the object and reference …elds [4,5]. A comprehen-
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sive review of the fundamentals of GI using classical and quantum physics is given by Erkmen and Shapiro [6] and Shih [7].
Compressive sensing computational ghost imaging
Vladimir Katkovnik and Jaakko Astola Department of Signal Processing, Tampere University of Technology,
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The computational ghost imaging with a phase spatial light modulator (SLM) for wave …eld 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 these observations (measurement experiments) which is smaller that 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 which is quite simple in implementations and nevertheless e¢ cient for Poissonian observations. c 2012 Optical Society of America
OCIS codes: 070.2025, 100.2000, 100.3010, 100.3190
2
1. uction
In the chaotic pseudothermal light ghost imaging (GI) a laser beam illuminates an transmission mask object and a transmitted light is collected by a single-pixel (bucket) sensor with no spatial resolution. The reconstruction of the object transmission is formed by correlating the bucket sensor’s output with the output from a spatially resolving sensor that is illuminated by a reference beam correlated with the signal beam but has not interacted with the object.
There is a long list of publications that run the gamut from various experimental realizations to discussions of fundamental classical and quantum physics behind GI. Initially, it is demonstrated by Pittman et al. [1] that GI is enabled by speci…cally quantum e¤ects. The discovery, that GI could be performed with the pseudothermal light, proved that GI admits the classical (coherence theory and statistical optics) and quantum-mechanical (nonlocal two-photon interference) interpretations. The both interpretations have been successfully used to analyze the thermal-light GI and to predict experimental observations [2, 3]. It has been demonstrated that the pseudothermal GI results from correlation of the object and reference …elds [4,5]. A comprehen-
3
sive review of the fundamentals of GI using classical and quantum physics is given by Erkmen and Shapiro [6] and Shih [7].
Compressive sensing computational ghost imaging
Vladimir Katkovnik and Jaakko Astola Department of Signal Processing, Tampere University of Technology,