Volume 47 Issue 10
Oct.  2018
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Li Chenxi, Shi Zelin, Liu Yunpeng. Lie group representation of infrared imaging grayscale variation with distance[J]. Infrared and Laser Engineering, 2018, 47(10): 1004002-1004002(6). doi: 10.3788/IRLA201847.1004002
Citation: Li Chenxi, Shi Zelin, Liu Yunpeng. Lie group representation of infrared imaging grayscale variation with distance[J]. Infrared and Laser Engineering, 2018, 47(10): 1004002-1004002(6). doi: 10.3788/IRLA201847.1004002

Lie group representation of infrared imaging grayscale variation with distance

doi: 10.3788/IRLA201847.1004002
  • Received Date: 2018-05-10
  • Rev Recd Date: 2018-06-20
  • Publish Date: 2018-10-25
  • The infrared imaging grayscale variation caused by the influence of atmosphere on infrared radiation transmission is a problem that infrared target tracking application needs to cope with. The law of infrared imaging grayscale variation in Lie group was modeled, which was important to design an efficient and robust target tracking algorithm. Firstly the infrared radiation transmission model was analyzed, and then the brightness model of infrared imaging was derived by considering the mechanism of infrared imaging. Furthermore, it was theoretically proved that the infrared imaging grayscale variation caused by the atmosphere obeyed the Lie group structure, and a non-Euclidean mathematical representation of the infrared imaging grayscale variation was proposed. Finally, according to the infrared imaging grayscale variation model, the field experimental data collected under different environments were fitted. The regression analysis results demonstrate the correctness of the model, which validates the rationality of the Lie group representation of the infrared imaging grayscale variation.
  • [1] Lin Juan, Bao Xingdong, Wu Jie, et al. Computation of infrared radiation from ship exhaust plumes[J]. Infrared and Laser Engineering, 2016, 45(9):0904004. (in Chinese)
    [2] Liu Lianwei, Yang Miaomiao, Zou Qianjin, et al. UAV infrared radiation modeling and image simulation[J]. Infrared and Laser Engineering, 2017, 46(6):0628002. (in Chinese)
    [3] Guo Lihong, Guo Hanzhou, Yang Ciyin, et al. Improvement of radiation measurement precision for target by using atmosphere-corrected coefficients[J]. Optics and Precision Engineering, 2016, 24(8):1871-1877. (in Chinese)
    [4] Han Yuge, Xuan Yimin. Effect of atmospheric transmission on IR radiation feature of target and background[J]. Journal of Applied Optics, 2002, 23(6):8-11. (in Chinese)
    [5] Tian Changhui, Yang Baiyu, Cai Ming, et al. Effect of atmospheric background on infrared target detection[J]. Infrared and Laser Engineering, 2014, 43(2):439-441. (in Chinese)
    [6] Yi Yaxing, Yao Mei, Wu Junhui, et al. Factors of the detected luminance of an infrared target[J]. Infrared and Laser Engineering, 2014, 43(1):13-18. (in Chinese)
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    [10] Liou K N. An Introduction to Atmospheric Radiation[M]. 2nd ed. Beijing:China Meteorological Press. 2004. (in Chinese)
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Lie group representation of infrared imaging grayscale variation with distance

doi: 10.3788/IRLA201847.1004002
  • 1. Shenyang Institute of Automation,Chinese Academy of Sciences,Shenyang 110016,China;
  • 2. University of Chinese Academy of Sciences,Beijing 100049,China;
  • 3. Key Laboratory of Optical-Electronics Information Processing,Chinese Academy of Sciences,Shenyang 110016,China

Abstract: The infrared imaging grayscale variation caused by the influence of atmosphere on infrared radiation transmission is a problem that infrared target tracking application needs to cope with. The law of infrared imaging grayscale variation in Lie group was modeled, which was important to design an efficient and robust target tracking algorithm. Firstly the infrared radiation transmission model was analyzed, and then the brightness model of infrared imaging was derived by considering the mechanism of infrared imaging. Furthermore, it was theoretically proved that the infrared imaging grayscale variation caused by the atmosphere obeyed the Lie group structure, and a non-Euclidean mathematical representation of the infrared imaging grayscale variation was proposed. Finally, according to the infrared imaging grayscale variation model, the field experimental data collected under different environments were fitted. The regression analysis results demonstrate the correctness of the model, which validates the rationality of the Lie group representation of the infrared imaging grayscale variation.

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