Object Reconstruction Using the Binomial Theorem for Ghost Imaging

Noise term in the reconstruction matrix in ghost imaging is a major cause of blurring imaging results. To remedy this problem, we propose a new ghost imaging method based on the binomial theorem to reduce the level of noise. In our method, images with low-level noise can be generated by constructing a binomial formula using high-order imaging results that are acquired by reintroducing the reconstruction result back into the imaging formula repeatedly. Experimental and simulation results demonstrate that our method is effective in improving imaging quality and the anti-interference performance and reducing computing time, making it useful for practical applications.

[1]  Xin Yao,et al.  Long-distance thermal temporal ghost imaging over optical fibers. , 2018, Optics letters.

[2]  Yanhua Shih,et al.  Quantum imaging , 2007, 2007 Conference on Lasers and Electro-Optics - Pacific Rim.

[3]  Jeffrey H. Shapiro,et al.  The physics of ghost imaging , 2012, Quantum Information Processing.

[4]  Shih,et al.  Optical imaging by means of two-photon quantum entanglement. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[5]  Wenlin Gong,et al.  Correlated imaging through atmospheric turbulence , 2010, 1005.5011.

[6]  Ling-An Wu,et al.  Correlated two-photon imaging with true thermal light. , 2005, Optics letters.

[7]  J. Shapiro,et al.  Ghost imaging: from quantum to classical to computational , 2010 .

[8]  Wenlin Gong,et al.  Ghost imaging via sparse structured illumination source. , 2018, Optics express.

[9]  Robert W. Boyd,et al.  Entangled-photon compressive ghost imaging , 2011 .

[10]  Shih,et al.  Observation of two-photon "ghost" interference and diffraction. , 1995, Physical review letters.

[11]  Shengmei Zhao,et al.  Fast reconstructed and high-quality ghost imaging with fast Walsh–Hadamard transform , 2016 .

[12]  Daniele Pelliccia,et al.  Experimental x-ray ghost imaging , 2016 .

[13]  A. Gatti,et al.  High-resolution ghost image and ghost diffraction experiments with thermal light. , 2005, Physical review letters.

[14]  Wenlin Gong,et al.  Correlated imaging in scattering media. , 2011, Optics letters.

[15]  曹军胜 Cao Junsheng,et al.  Pseudo-inverse Iterative Denoising Method for Object Reconstruction of Ghost Imaging , 2017 .

[16]  A. Gatti,et al.  Differential ghost imaging. , 2010, Physical review letters.

[17]  Ling-An Wu,et al.  Nonlocal imaging of a reflective object using positive and negative correlations. , 2015, Applied optics.

[18]  Wenlin Gong,et al.  Scalar-matrix-structured ghost imaging , 2016 .

[19]  Ronald E. Meyers,et al.  Quantum ghost imaging experiments at ARL , 2010, Optical Engineering + Applications.

[20]  Wenlin Gong,et al.  Experimental Investigation of Iterative Pseudoinverse Ghost Imaging , 2018, IEEE Photonics Journal.

[21]  B. Erkmen.  Computational ghost imaging for remote sensing. , 2012, Journal of the Optical Society of America. A, Optics, image science, and vision.

[22]  Wenlin Gong,et al.  Performance analysis of ghost imaging lidar in background light environment , 2017 .

[23]  Wenlin Gong,et al.  A method to improve the visibility of ghost images obtained by thermal light , 2010 .

[24]  Ari T. Friberg,et al.  Ghost imaging in the time domain , 2016, Nature Photonics.

[25]  Yanfeng Bai,et al.  Experimental investigation of ghost imaging of reflective objects with different surface roughness , 2017 .

[26]  P. Moreau,et al.  Ghost Imaging Using Optical Correlations , 2018 .

[27]  N. Tian,et al.  Fluorescence ghost imaging with pseudothermal light. , 2011, Optics letters.

[28]  Chi Zhang,et al.  Object reconstitution using pseudo-inverse for ghost imaging. , 2014, Optics express.

[29]  Wei Wang,et al.  Iterative ghost imaging. , 2014, Optics letters.

[30]  Hui Chen,et al.  Complementary Normalized Compressive Ghost Imaging With Entangled Photons , 2018, IEEE Photonics Journal.

[31]  A. Gatti,et al.  Ghost imaging with thermal light: comparing entanglement and classical correlation. , 2003, Physical review letters.

[32]  Wenlin Gong.  High-resolution pseudo-inverse ghost imaging , 2015 .

[33]  J. Shapiro,et al.  Normalized ghost imaging , 2012, 1212.5041.

[34]  O. Katz,et al.  Compressive ghost imaging , 2009, 0905.0321.

[35]  R. Boyd,et al.  An introduction to ghost imaging: quantum and classical , 2017, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[36]  R. Boyd,et al.  "Two-Photon" coincidence imaging with a classical source. , 2002, Physical review letters.

[37]  Yanhua Shih,et al.  Ghost imaging experiment with sunlight compared to laboratory experiment with thermal light , 2012, Other Conferences.

[38]  Jesús Lancis,et al.  Optical encryption based on computational ghost imaging. , 2010, Optics letters.

[39]  Zihuai Lin,et al.  Nonrandom Microwave Ghost Imaging , 2018, IEEE Transactions on Geoscience and Remote Sensing.

[40]  Y. Shih.  Quantum Imaging , 2007, IEEE Journal of Selected Topics in Quantum Electronics.

[41]  Ling-An Wu,et al.  Iterative denoising of ghost imaging. , 2014, Optics express.

[42]  Robert W Boyd,et al.  Quantum and classical coincidence imaging. , 2004, Physical review letters.