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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.
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Keywords:
- ghost imaging /
- compressed sensing /
- super resolution /
- sparse measurement
[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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[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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