| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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Ghost imaging based on Pearson correlation coefficients |
| Yu Wen-Kai (俞文凯)a b, Yao Xu-Ri (姚旭日)a b, Liu Xue-Feng (刘雪峰)a, Li Long-Zhen (李龙珍)a b, Zhai Guang-Jie (翟光杰)b |
a Key Laboratory of Electronics and Information Technology for Space System, Center for Space Science and Applied Research, Chinese Academy of Sciences, Beijing 100190, China;
b University of Chinese Academy of Sciences, Beijing 100049, China |
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Abstract Correspondence imaging is a new modality of ghost imaging, which can retrieve a positive/negative image by simple conditional averaging of the reference frames that correspond to relatively large/small values of the total intensity measured at the bucket detector. Here we propose and experimentally demonstrate a more rigorous and general approach in which a ghost image is retrieved by calculating a Pearson correlation coefficient between the bucket detector intensity and the brightness at a given pixel of the reference frames, and at the next pixel, and so on. Furthermore, we theoretically provide a statistical interpretation of these two imaging phenomena, and explain how the error depends on the sample size and what kind of distribution the error obeys. According to our analysis, the image signal-to-noise ratio can be greatly improved and the sampling number reduced by means of our new method.
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Received: 27 October 2014
Revised: 22 November 2014
Accepted manuscript online:
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PACS:
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42.25.Kb
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(Coherence)
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42.30.Va
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(Image forming and processing)
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02.50.Cw
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(Probability theory)
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| Fund: Project Project of China (Grant No. 2013YQ030595) and the National High Technology Research and Development Program of China (Grant No. 2013AA122902). |
Corresponding Authors:
Zhai Guang-Jie
E-mail: gjzhai@nssc.ac.cn
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| About author: 42.25.Kb; 42.30.Va; 02.50.Cw |
Cite this article:
Yu Wen-Kai (俞文凯), Yao Xu-Ri (姚旭日), Liu Xue-Feng (刘雪峰), Li Long-Zhen (李龙珍), Zhai Guang-Jie (翟光杰) Ghost imaging based on Pearson correlation coefficients 2015 Chin. Phys. B 24 054203
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