基于压缩感知超分辨鬼成像

李龙珍; 姚旭日; 刘雪峰; 俞文凯; 翟光杰

doi:10.7498/aps.63.224201

摘要

分辨率是成像系统的一个重要参数, 获得高分辨率图像一直是鬼成像系统的一个目标. 本文提出了以成像系统点扩散函数作为先验知识, 基于稀疏测量的超分辨压缩感知鬼成像重建模型. 搭建了一套计算鬼成像实验装置, 用于验证该模型对于提高鬼成像系统分辨率的有效性, 并与传统的鬼成像计算模型进行了对比. 实验表明, 利用该模型可突破成像系统衍射极限分辨率的限制, 得到超分辨鬼成像.

关键词:

Achieving high resolution images is of great importance in ghost imaging. We present a super-resolution image reconstruction algorithm with sparse measurements based on the theory of compressed sensing and the prior knowledge of the point spread function of the ghost imaging system. A computational ghost imaging experimental setup with a digital mirror device is built to verify the effect of this algorithm on increasing the resolution of the ghost imaging system. In addition, we compare the result with that from the traditional ghost imaging algorithm. The experiments show that we can obtain super-resolution images by this algorithm with the sparse measurements. This approach can break through the Rayleigh limit of the imaging system and obtain super-resolution images.

Keywords:

作者及机构信息

1.
中国科学院空间科学与应用研究中心, 中国科学院复杂航天系统电子信息技术重点实验室, 北京 100190;

2.
中国科学院大学, 北京 100190

基金项目: 国家重大科学仪器设备开发专项(批准号:2013YQ030595)和国家高技术研究发展计划(批准号:2013AA122902)资助的课题.

Authors and contacts

1.
Key Laboratory of Electronics and Information Technology for Space Systems, Center for Space Science and Applied Research, Chinese Academy of Sciences, Beijing 100190, China;

2.
University of Chinese Academy of Sciences, Beijing 100190, China

Funds: Project supported by the National Major Scientific Instruments Development Project of China (Grant No. 2013YQ030595) and the Hi-Tech Research and Development Program of China (Grant No. 2013AA122902).

参考文献

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[2]	Gatti A, Brambilla E, Bache M, Lugiato L A 2004 Phy. Rev. Lett. 93 093602
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[6]	Liu X F, Yao X R, Li M F, Yu W K, Chen X H, Sun Z B, Wu L A, Zhai G J 2013 Acta Opt. Sin. 62 184205 (in Chinese) [刘雪峰, 姚旭日, 李明飞, 俞文凯, 陈希浩, 孙志斌, 吴令安, 翟光杰 2013 物理学报 62 184205]
[7]	Zhao S M, Zhuang P 2014 Chin. Phys. B 23 054203
[8]	Cheng J 2009 Opt. Express 17 7916
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[10]	Shi D F, Fan C Y, Zhang P F, Zhang J H, Shen H, Qiao C H, Wang Y J 2012 Opt. Express 20 27992
[11]	Yu W K, Li S, Yao X R, Liu X F, Wu L A, Zhai G J 2013 Appl. Opt. 52 7882
[12]	Zhao C Q, Gong W L, Chen M L, Li W R, Wang H, Xu W D, Han S S 2012 Appl. Phys. Lett. 101 141123
[13]	Liu X F, Yao X R, Chen X H, Wu L A, Zhai G J 2012 J. Opt. Soc. Am. A 29 1922
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[15]	Ferri F, Magatti D, Gatti A, Bache M, Brambilla E, Lugiato L A 2005 Phys. Rev. Lett. 94 183602
[16]	Zhang P L, Gong W L, Shen X, Huang D J, Han S S 2009 Opt. Lett. 34 1222
[17]	Zhou Y, Liu J B, Simon J, Shih Y H 2012 J. Opt. Soc. Am. B 29 377
[18]	Gatti A, Bache M, Magatti D, Brambilla E, Ferri F, Lugiato L A 2006 J. Mod. Opt. 53 739
[19]	Zhang D, Zhai Y H, Wu L A, Chen X H 2005 Opt. Lett. 30 2354
[20]	Chen X H, Liu Q, Luo K H, Wu L A 2009 Opt. Lett. 34 695
[21]	Liu X F, Chen X H, Yao X R, Yu W K, Zhai G J, Wu L A 2014 Opt. Lett. 39 2314
[22]	Gatti A, Magatti D, Ferri F 2008 Phys. Rev. A 78 063806
[23]	Magatti D, Gatti A, Ferri F 2009 Phys. Rev. A 79 053831
[24]	Shapiro J H 2008 Phys. Rev. A 78 061802
[25]	Bromberg Y, Katz O, Silberberg Y 2009 Phys. Rev. A 79 053840
[26]	Liu X F, Li M F, Yao X R, Yu W K, Zhai G J 2013 AIP Adv. 3 052121
[27]	Donoho D L 2004 IEEE Trans. Inf. Theory 52 1289
[28]	Candès E J, Romberg, Tao T 2006 IEEE Trans. Inf. Theory 52 489
[29]	Du J, Gong W L, Han S S 2012 Opt. Lett. 37 1067
[30]	Gong W L, Han S S 2012 Phys. Lett. A 376 1519
[31]	Chen J, Gong W L, Han S S 2013 Phys. Lett. A 377 1844
[32]	Bai X, Li Y Q, Zhao S M 2013 Acta Phys. Sin. 62 044209 (in Chinese) [白旭, 李永强, 赵生妹 2013 物理学报 62 044209]
[33]	Cheng J, Han S S, Yan Y J 2006 Chin. Phys. B 15 2002
[34]	Ferri F, Magatti D, Lugiato L A, Gatti A 2010 Phys. Rev. Lett. 104 253603
[35]	Candés E J 2006 Proceedings of the International Congress of Mathematicians 3 1433
[36]	Chen M L, Li E R, Wang H, Shen X, Gong W L, Han S S 2012 Acta Opt. Sin. 32 0503001
[37]	Gong W L, Han S S 2014 Appl. Phys. Express 7 062503

施引文献

[1]	Pittman T B, Shih Y H, Strekalov D V, Sergienko A V 1995 Phy. Rev. A 52 R3429
[2]	Gatti A, Brambilla E, Bache M, Lugiato L A 2004 Phy. Rev. Lett. 93 093602
[3]	Cai Y J, Zhu S Y 2005 Phy. Rev. E 71 056607
[4]	Valencia A, Scarcelli G, Angelo M D, Shih Y H 2005 Phy. Rev. Lett. 94 063601
[5]	Cao D Z, Xiong J, Wang K G 2005 Phy. Rev. A 71 013801
[6]	Liu X F, Yao X R, Li M F, Yu W K, Chen X H, Sun Z B, Wu L A, Zhai G J 2013 Acta Opt. Sin. 62 184205 (in Chinese) [刘雪峰, 姚旭日, 李明飞, 俞文凯, 陈希浩, 孙志斌, 吴令安, 翟光杰 2013 物理学报 62 184205]
[7]	Zhao S M, Zhuang P 2014 Chin. Phys. B 23 054203
[8]	Cheng J 2009 Opt. Express 17 7916
[9]	Cheng J, Han S S 2004 Phy. Rev. Lett. 92 093903
[10]	Shi D F, Fan C Y, Zhang P F, Zhang J H, Shen H, Qiao C H, Wang Y J 2012 Opt. Express 20 27992
[11]	Yu W K, Li S, Yao X R, Liu X F, Wu L A, Zhai G J 2013 Appl. Opt. 52 7882
[12]	Zhao C Q, Gong W L, Chen M L, Li W R, Wang H, Xu W D, Han S S 2012 Appl. Phys. Lett. 101 141123
[13]	Liu X F, Yao X R, Chen X H, Wu L A, Zhai G J 2012 J. Opt. Soc. Am. A 29 1922
[14]	Yu W K, Li M F, Yao X R, Liu X F, Wu L A, Zhai G J 2014 Opt. Express 22 7133
[15]	Ferri F, Magatti D, Gatti A, Bache M, Brambilla E, Lugiato L A 2005 Phys. Rev. Lett. 94 183602
[16]	Zhang P L, Gong W L, Shen X, Huang D J, Han S S 2009 Opt. Lett. 34 1222
[17]	Zhou Y, Liu J B, Simon J, Shih Y H 2012 J. Opt. Soc. Am. B 29 377
[18]	Gatti A, Bache M, Magatti D, Brambilla E, Ferri F, Lugiato L A 2006 J. Mod. Opt. 53 739
[19]	Zhang D, Zhai Y H, Wu L A, Chen X H 2005 Opt. Lett. 30 2354
[20]	Chen X H, Liu Q, Luo K H, Wu L A 2009 Opt. Lett. 34 695
[21]	Liu X F, Chen X H, Yao X R, Yu W K, Zhai G J, Wu L A 2014 Opt. Lett. 39 2314
[22]	Gatti A, Magatti D, Ferri F 2008 Phys. Rev. A 78 063806
[23]	Magatti D, Gatti A, Ferri F 2009 Phys. Rev. A 79 053831
[24]	Shapiro J H 2008 Phys. Rev. A 78 061802
[25]	Bromberg Y, Katz O, Silberberg Y 2009 Phys. Rev. A 79 053840
[26]	Liu X F, Li M F, Yao X R, Yu W K, Zhai G J 2013 AIP Adv. 3 052121
[27]	Donoho D L 2004 IEEE Trans. Inf. Theory 52 1289
[28]	Candès E J, Romberg, Tao T 2006 IEEE Trans. Inf. Theory 52 489
[29]	Du J, Gong W L, Han S S 2012 Opt. Lett. 37 1067
[30]	Gong W L, Han S S 2012 Phys. Lett. A 376 1519
[31]	Chen J, Gong W L, Han S S 2013 Phys. Lett. A 377 1844
[32]	Bai X, Li Y Q, Zhao S M 2013 Acta Phys. Sin. 62 044209 (in Chinese) [白旭, 李永强, 赵生妹 2013 物理学报 62 044209]
[33]	Cheng J, Han S S, Yan Y J 2006 Chin. Phys. B 15 2002
[34]	Ferri F, Magatti D, Lugiato L A, Gatti A 2010 Phys. Rev. Lett. 104 253603
[35]	Candés E J 2006 Proceedings of the International Congress of Mathematicians 3 1433
[36]	Chen M L, Li E R, Wang H, Shen X, Gong W L, Han S S 2012 Acta Opt. Sin. 32 0503001
[37]	Gong W L, Han S S 2014 Appl. Phys. Express 7 062503

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