中国物理B ›› 2015, Vol. 24 ›› Issue (5): 54203-054203.doi: 10.1088/1674-1056/24/5/054203

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Ghost imaging based on Pearson correlation coefficients

俞文凯a b, 姚旭日a b, 刘雪峰a, 李龙珍a b, 翟光杰b   

  1. 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
  • 收稿日期:2014-10-27 修回日期:2014-11-22 出版日期:2015-05-05 发布日期:2015-05-05
  • 基金资助:
    Project Project of China (Grant No. 2013YQ030595) and the National High Technology Research and Development Program of China (Grant No. 2013AA122902).

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   

  1. 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
  • Received:2014-10-27 Revised:2014-11-22 Online:2015-05-05 Published:2015-05-05
  • Contact: Zhai Guang-Jie E-mail:gjzhai@nssc.ac.cn
  • About author:42.25.Kb; 42.30.Va; 02.50.Cw
  • Supported by:
    Project Project of China (Grant No. 2013YQ030595) and the National High Technology Research and Development Program of China (Grant No. 2013AA122902).

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摘要： 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.

关键词: coherence, image forming and processing, probability theory

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.

Key words: coherence, image forming and processing, probability theory

中图分类号:  (Coherence)

  • 42.25.Kb
42.30.Va (Image forming and processing) 02.50.Cw (Probability theory)