Fourier single-pixel imaging techniques and applications

Zhang Zibang; Lu Tian'ao; Peng Junzheng; Zhong Jingang

doi:10.3788/IRLA201948.0603002

Volume 48 Issue 6

Jul. 2019

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Zhang Zibang, Lu Tian'ao, Peng Junzheng, Zhong Jingang. Fourier single-pixel imaging techniques and applications[J]. Infrared and Laser Engineering, 2019, 48(6): 603002-0603002(19). doi: 10.3788/IRLA201948.0603002

Citation:

Zhang Zibang, Lu Tian'ao, Peng Junzheng, Zhong Jingang. Fourier single-pixel imaging techniques and applications[J]. Infrared and Laser Engineering, 2019, 48(6): 603002-0603002(19). doi: 10.3788/IRLA201948.0603002

Fourier single-pixel imaging techniques and applications

doi: 10.3788/IRLA201948.0603002

1.
Department of Optoelectronic Engineering,Jinan University,Guangzhou 510632,China

Received Date: 2019-01-05
Rev Recd Date: 2019-02-03
Publish Date: 2019-06-25

Abstract

Imaging at non-visible wavebands is one of the challenges in optical imaging. As a novel computational imaging technique, single-pixel imaging based on spatial light modulation is able to obtain spatial information of object via a non-spatially-resolving detector. Thus, single-pixel imaging technique is a potential approach to the challenge of imaging at non-visible wavebands. In recent years, Fourier single-pixel imaging is demonstrated to be able to offer high-quality and high-efficiency image acquisition. Since proposed in 2015, Fourier single-pixel imaging technique has been extended a series of techniques ranging from two-dimensional imaging to three-dimensional imaging, from mono-chromatic imaging to true-color imaging, from static imaging to dynamic imaging, from single-modality imaging to multi-modality imaging, and from photography to microscopy. The principle and related applications of Fourier single-pixel imaging were reviewed. Some challenging problems and prospects of the technique were also discussed.
- imaging system,
- image acquisition,
- computational imaging,
- single-pixel imaging

References

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[8]	Studer V, Bobin J, Chahid M, et al. Compressive fluorescence microscopy for biological and hyperspectral imaging[J]. Proceedings of the National Academy of Sciences, 2012, 109(26):E1679-E1687.
[9]	Hahn J, Debes C, Leigsnering M, et al. Compressive sensing and adaptive direct sampling in hyperspectral imaging[J]. Digital Signal Processing, 2014, 26:113-126.
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[36]	Huynh N, Zhang E, Betcke M, et al. Single-pixel optical camera for video rate ultrasonic imaging[J]. Optica, 2016, 3(1):26-29.
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[38]	Clemente P, Durn V, Tajahuerce E, et al. Compressive holography with a single-pixel detector[J]. Optics Letters, 2013, 38(14):2524-2527.
[39]	Soldevila F, Durn V, Clemente P, et al. Phase imaging by spatial wavefront sampling[J]. Optica, 2018, 5(2):164-174.
[40]	Lochocki B, Gambn A, Manzanera S, et al. Single pixel camera ophthalmoscope[J]. Optica, 2016, 3(10):1056-1059.
[41]	Ota S, Horisaki R, Kawamura Y, et al. Ghost cytometry[J]. Science, 2018, 360(6394):1246-1251.
[42]	Guo Q, Chen H, Weng Z, et al. Compressive sensing based high-speed time-stretch optical microscopy for two-dimensional image acquisition[J]. Optics Express, 2015, 23(23):29639-29646.
[43]	Xu Z H, Chen W, Penuelas J, et al. 1000 fps computational ghost imaging using LED-based structured illumination[J]. Optics Express, 2018, 26(3):2427-2434.
[44]	Yu W K, Liu X F, Yao X R, et al. Complementary compressive imaging for the telescopic system[J]. Scientific Reports, 2014, 4:5834.
[45]	Gong W, Zhao C, Yu H, et al. Three-dimensional ghost imaging lidar via sparsity constraint[J]. Scientific Reports, 2016, 6:26133.
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[54]	Zhang Z, Su Z, Deng Q, et al. Lensless single-pixel imaging by using LCD:application to small-size and multi-functional scanner[J]. Optics Express, 2019, 27(3):3731-3745.
[55]	Liu B L, Yang Z H, Liu X, et al. Coloured computational imaging with single-pixel detectors based on a 2D discrete cosine transform[J]. Journal of Modern Optics, 2017, 64(3):259-264.
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[58]	Peng J, Yao M, Cheng J, et al. Micro-tomography via single-pixel imaging[J]. Opt Express, 2018, 26(24):31094-31105.
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[62]	Takeda M, Mutoh K. Fourier transform profilometry for the automatic measurement of 3-D object shapes[J]. Applied Optics, 1983, 22(24):3977-3982.
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沈阳化工大学材料科学与工程学院沈阳 110142

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Fourier single-pixel imaging techniques and applications

1. Department of Optoelectronic Engineering,Jinan University,Guangzhou 510632,China

Received Date: 2019-01-05

Rev Recd Date: 2019-02-03

Publish Date: 2019-06-25

Key words:

Abstract: Imaging at non-visible wavebands is one of the challenges in optical imaging. As a novel computational imaging technique, single-pixel imaging based on spatial light modulation is able to obtain spatial information of object via a non-spatially-resolving detector. Thus, single-pixel imaging technique is a potential approach to the challenge of imaging at non-visible wavebands. In recent years, Fourier single-pixel imaging is demonstrated to be able to offer high-quality and high-efficiency image acquisition. Since proposed in 2015, Fourier single-pixel imaging technique has been extended a series of techniques ranging from two-dimensional imaging to three-dimensional imaging, from mono-chromatic imaging to true-color imaging, from static imaging to dynamic imaging, from single-modality imaging to multi-modality imaging, and from photography to microscopy. The principle and related applications of Fourier single-pixel imaging were reviewed. Some challenging problems and prospects of the technique were also discussed.

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Reference (79)

[1]	Butler P D, Silverstein S M, Dakin S C. Visual perception and its impairment in schizophrenia[J]. Biological Psychiatry, 2008, 64(1):40-47.
[2]	Nakano A. Spinning-disk confocal microscopy-a cutting-edge tool for imaging of membrane traffic[J]. Cell Structure and Function, 2002, 27(5):349-355.
[3]	Duarte M F, Davenport M A, Takhar D, et al. Single-pixel imaging via compressive sampling[J]. IEEE Signal Processing Magazine, 2008, 25(2):83-91.
[4]	Welsh S S, Edgar M P, Bowman R, et al. Fast full-color computational imaging with single-pixel detectors[J]. Optics Express, 2013, 21(20):23068-23074.
[5]	Bian L, Suo J, Situ G, et al. Multispectral imaging using a single bucket detector[J]. Scientific Reports, 2016, 6:24752.
[6]	Rousset F, Ducros N, Peyrin F, et al. Time-resolved multispectral imaging based on an adaptive single-pixel camera[J]. Optics Express, 2018, 26(8):10550-10558.
[7]	Zhang Z, Liu S, Peng J, et al. Simultaneous spatial, spectral, and 3D compressive imaging via efficient Fourier single-pixel measurements[J]. Optica, 2018, 5(3):315-319.
[8]	Studer V, Bobin J, Chahid M, et al. Compressive fluorescence microscopy for biological and hyperspectral imaging[J]. Proceedings of the National Academy of Sciences, 2012, 109(26):E1679-E1687.
[9]	Hahn J, Debes C, Leigsnering M, et al. Compressive sensing and adaptive direct sampling in hyperspectral imaging[J]. Digital Signal Processing, 2014, 26:113-126.
[10]	Edgar M P, Gibson G M, Bowman R W, et al. Simultaneous real-time visible and infrared video with single-pixel detectors[J]. Scientific Reports, 2015, 5:10669.
[11]	Chan W L, Charan K, Takhar D, et al. A single-pixel terahertz imaging system based on compressed sensing[J]. Applied Physics Letters, 2008, 93(12):121105.
[12]	Watts C M, Shrekenhamer D, Montoya J, et al. Terahertz compressive imaging with metamaterial spatial light modulators[J]. Nature Photonics, 2014, 8(8):605.
[13]	Stantchev R I, Sun B, Hornett S M, et al. Noninvasive, near-field terahertz imaging of hidden objects using a single-pixel detector[J]. Science Advances, 2016, 2(6):e1600190.
[14]	Gibson G M, Sun B, Edgar M P, et al. Real-time imaging of methane gas leaks using a single-pixel camera[J]. Optics Express, 2017, 25(4):2998-3005.
[15]	Radwell N, Mitchell K J, Gibson G M, et al. Single-pixel infrared and visible microscope[J]. Optica, 2014, 1(5):285-289.
[16]	Zhang Y, Edgar M P, Sun B, et al. 3D single-pixel video[J]. Journal of Optics, 2016, 18(3):035203.
[17]	Goldstein T, Xu L, Kelly K F, et al. The stone transform:Multi-resolution image enhancement and compressive video[J]. IEEE Transactions on Image Processing, 2015, 24(12):5581-5593.
[18]	Zhang Z, Wang X, Zheng G, et al. Fast Fourier single-pixel imaging via binary illumination[J]. Scientific Reports, 2017, 7(1):12029.
[19]	Higham C F, Murray-Smith R, Padgett M J, et al. Deep learning for real-time single-pixel video[J]. Scientific Reports, 2018, 8(1):2369.
[20]	Zheng J, Jacobs E L. Video compressive sensing using spatial domain sparsity[J]. Optical Engineering, 2009, 48(8):087006.
[21]	Sankaranarayanan A C, Xu L, Studer C, et al. Video compressive sensing for spatial multiplexing cameras using motion-flow models[J]. SIAM Journal on Imaging Sciences, 2015, 8(3):1489-1518.
[22]	Xu L, Sankaranarayanan A, Studer C, et al. Multiscale compressive video acquisition[C]//Computational Optical Sensing and Imaging. Optical Society of America, 2013:CW2C. 4.
[23]	Wu Y, Ye P, Mirza I O, et al. Experimental demonstration of an optical-sectioning compressive sensing microscope (CSM)[J]. Optics Express, 2010, 18(24):24565-24578.
[24]	Sun B, Edgar M P, Bowman R, et al. 3D computational imaging with single-pixel detectors[J]. Science, 2013, 340(6134):844-847.
[25]	Howland G A, Dixon P B, Howell J C. Photon-counting compressive sensing laser radar for 3D imaging[J]. Applied Optics, 2011, 50(31):5917-5920.
[26]	Howland G A, Lum D J, Ware M R, et al. Photon counting compressive depth mapping[J]. Optics Express, 2013, 21(20):23822-23837.
[27]	Sun M J, Edgar M P, Phillips D B, et al. Improving the signal-to-noise ratio of single-pixel imaging using digital microscanning[J]. Optics Express, 2016, 24(10):10476-10485.
[28]	Edgar M P, Sun M J, Gibson G M, et al. Real-time 3D video utilizing a compressed sensing time-of-flight single-pixel camera[C]//Optical Trapping and Optical Micromanipulation XⅢ. International Society for Optics and Photonics, 2016, 9922:99221B.
[29]	Zhang Z, Zhong J. Three-dimensional single-pixel imaging with far fewer measurements than effective image pixels[J]. Optics Letters, 2016, 41(11):2497-2500.
[30]	Durn V, Clemente P, Fernndez-Alonso M, et al. Single-pixel polarimetric imaging[J]. Optics Letters, 2012, 37(5):824-826.
[31]	Soldevila F, Irles E, Durn V, et al. Single-pixel polarimetric imaging spectrometer by compressive sensing[J]. Applied Physics B, 2013, 113(4):551-558.
[32]	Welsh S S, Edgar M P, Bowman R, et al. Near video-rate linear Stokes imaging with single-pixel detectors[J]. Journal of Optics, 2015, 17(2):025705.
[33]	Tajahuerce E, Durn V, Clemente P, et al. Image transmission through dynamic scattering media by single-pixel photodetection[J]. Optics Express, 2014, 22(14):16945-16955.
[34]	Durn V, Soldevila F, Irles E, et al. Compressive imaging in scattering media[J]. Optics Express, 2015, 23(11):14424-14433.
[35]	Greenberg J, Krishnamurthy K, Brady D. Compressive single-pixel snapshot x-ray diffraction imaging[J]. Optics Letters, 2014, 39(1):111-114.
[36]	Huynh N, Zhang E, Betcke M, et al. Single-pixel optical camera for video rate ultrasonic imaging[J]. Optica, 2016, 3(1):26-29.
[37]	Yang J, Gong L, Xu X, et al. Motionless volumetric photoacoustic microscopy with spatially invariant resolution[J]. Nature Communications, 2017, 8(1):780.
[38]	Clemente P, Durn V, Tajahuerce E, et al. Compressive holography with a single-pixel detector[J]. Optics Letters, 2013, 38(14):2524-2527.
[39]	Soldevila F, Durn V, Clemente P, et al. Phase imaging by spatial wavefront sampling[J]. Optica, 2018, 5(2):164-174.
[40]	Lochocki B, Gambn A, Manzanera S, et al. Single pixel camera ophthalmoscope[J]. Optica, 2016, 3(10):1056-1059.
[41]	Ota S, Horisaki R, Kawamura Y, et al. Ghost cytometry[J]. Science, 2018, 360(6394):1246-1251.
[42]	Guo Q, Chen H, Weng Z, et al. Compressive sensing based high-speed time-stretch optical microscopy for two-dimensional image acquisition[J]. Optics Express, 2015, 23(23):29639-29646.
[43]	Xu Z H, Chen W, Penuelas J, et al. 1000 fps computational ghost imaging using LED-based structured illumination[J]. Optics Express, 2018, 26(3):2427-2434.
[44]	Yu W K, Liu X F, Yao X R, et al. Complementary compressive imaging for the telescopic system[J]. Scientific Reports, 2014, 4:5834.
[45]	Gong W, Zhao C, Yu H, et al. Three-dimensional ghost imaging lidar via sparsity constraint[J]. Scientific Reports, 2016, 6:26133.
[46]	Katz O, Bromberg Y, Silberberg Y. Compressive ghost imaging[J]. Applied Physics Letters, 2009, 95(13):131110.
[47]	Donoho D L. Compressed sensing[J]. IEEE Transactions on Information Theory, 2006, 52(4):1289-1306.
[48]	Sun M J, Edgar M P, Gibson G M, et al. Single-pixel three-dimensional imaging with time-based depth resolution[J]. Nature Communications, 2016, 7:12010.
[49]	Sun M J, Meng L T, Edgar M P, et al. A Russian Dolls ordering of the Hadamard basis for compressive single-pixel imaging[J]. Scientific Reports, 2017, 7(1):3464.
[50]	Xu Z H, Chen W, Penuelas J, et al. 1000 fps computational ghost imaging using LED-based structured illumination[J]. Optics Express, 2018, 26(3):2427-2434.
[51]	Salvador-Balaguer E, Latorre-Carmona P, Chabert C, et al. Low-cost single-pixel 3D imaging by using an LED array[J]. Optics Express, 2018, 26(12):15623-15631.
[52]	Durn V, Clemente P, Fernndez-Alonso M, et al. Single-pixel polarimetric imaging[J]. Optics Letters, 2012, 37(5):824-826.
[53]	Zhang Z, Jiao S, Yao M, et al. Secured single-pixel broadcast imaging[J]. Optics Express, 2018, 26(11):14578-14591.
[54]	Zhang Z, Su Z, Deng Q, et al. Lensless single-pixel imaging by using LCD:application to small-size and multi-functional scanner[J]. Optics Express, 2019, 27(3):3731-3745.
[55]	Liu B L, Yang Z H, Liu X, et al. Coloured computational imaging with single-pixel detectors based on a 2D discrete cosine transform[J]. Journal of Modern Optics, 2017, 64(3):259-264.
[56]	Rousset F, Ducros N, Farina A, et al. Adaptive basis scan by wavelet prediction for single-pixel imaging[J]. IEEE Transactions on Computational Imaging, 2017, 3(1):36-46.
[57]	Zhang Z, Ma X, Zhong J. Single-pixel imaging by means of Fourier spectrum acquisition[J]. Nature Communications, 2015, 6:6225.
[58]	Peng J, Yao M, Cheng J, et al. Micro-tomography via single-pixel imaging[J]. Opt Express, 2018, 26(24):31094-31105.
[59]	Zhang Z, Wang X, Zheng G, et al. Hadamard single-pixel imaging versus Fourier single-pixel imaging[J]. Optics Express, 2017, 25(16):19619-19639.
[60]	Mitra S K, Kuo Y. Digital Signal Processing:a Computer-Based Approach[M]. New York:McGraw-Hill, 2006.
[61]	Floyd R W. An adaptive algorithm for spatial gray-scale[C]//Proceedings of the Society for Information Display, 1976, 17:75-77.
[62]	Takeda M, Mutoh K. Fourier transform profilometry for the automatic measurement of 3-D object shapes[J]. Applied Optics, 1983, 22(24):3977-3982.
[63]	Born M, Wolf E. Principles of Optics:Electromagnetic Theory of Propagation, Interference and Diffraction of Light[M]. Berlin:Elsevier, 1980.
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Fourier single-pixel imaging techniques and applications

doi: 10.3788/IRLA201948.0603002

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通讯作者: 陈斌, bchen63@163.com

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