• Laser & Optoelectronics Progress
  • Vol. 52, Issue 10, 100901 (2015)
Weng Jiawen1、*, Qin Yi2, Yang Chuping1, and Li Hai1
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
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    DOI: 10.3788/lop52.100901 Cite this Article Set citation alerts
    Weng Jiawen, Qin Yi, Yang Chuping, Li Hai. Reconstruction of Single Low-Coherence Digital Hologram by Compressive Sensing[J]. Laser & Optoelectronics Progress, 2015, 52(10): 100901 Copy Citation Text show less
    References

    [1] J W Goodman, R W Lawrence. Digital image formation from electronically detected holograms[J]. Appl Phys Lett, 1967, 11(3): 77-79.

    [2] U Schnars, W P Jueptner. Digital recording and numerical reconstruction of holograms[J]. Meas Sci & Technol, 2002, 13(9): R85-R101.

    [3] T Shimobaba, Y Sato, J Miura, et al.. Real-time digital holographic microscopy using the graphic processing unit[J]. Opt Express, 2008, 16(16): 11776-11781.

    [4] T Kozacki, RJóz′ wicki . Near field hologram registration with partially coherent illumination[J]. Opt Commun, 2004, 237(4): 235-242.

    [5] B Kemper, S Sturwald, C Remmersmann, et al.. Characterisation of light emitting diodes (LEDs) for application in digital holographic microscopy for inspection of micro and nanostructured surfaces[J]. Opt & Lasers in Eng, 2008, 46(7): 499-507.

    [6] Qin Yin, ZhongJingang. Quality evaluation of phase reconstruction in LED-based digital holography[J]. Chin Opt Lett, 2009, 7(12): 1146-1150.

    [7] Qin Yi, Zhong Jingang. Theoretical and experimental research of digital holography with partially coherent light based on light-emitting diode[J]. Acta Optica Sinica, 2010, 30(8): 2236-2241.

    [8] D Dondoho. Compressed sensing[J]. IEEE Transactions on Information Theory, 2006, 52(4): 1289-1306.

    [9] E Candes, M Wakin. An introduction to compressive sampling[J]. IEEE Signal Processing Magazine, 2008, 25(2): 21-30.

    [10] D J Brady, K Choi, D L Marks, et al.. Compressive holography[J]. Opt Express, 2009, 17(15): 13040-13049.

    [11] L Denis, D Lorenz, E Thieaut, et al.. Inline hologram reconstruction with sparsity constraints[J]. Opt Lett, 2009, 34(22): 3475-3477.

    [12] Fournier C, Denis L, Fournel T. On the single point resolution of on-axis digital holography[J]. J Opt Soc Am A, 2010, 27(8): 1856-1862.

    [13] M M Marim, M Atlan, E Angelini, et al.. Compressed sensing with off-axis frequency-shifting holography[J]. Opt Lett, 2010, 35(6): 871-873.

    [14] M M Marim, E Angelini, JC Olvo-Marin, et al.. Off-axis compressed holographic microscopy in low light conditions[J]. Opt Lett, 2011, 36(1): 79-81.

    [15] Y Rivenson, A Stern, J Rosen. Compressive multiple view projection incoherent holography[J]. Opt Express, 2011, 19(7): 11776-11781.

    [16] P Clemente, V Durán, E Tajahuerce, et al.. Compressive holography with a single-pixel detector[J]. Opt Lett, 2013, 38,2524-2527.

    [17] J Li, Y Wang, L Rong, et al.. Single-pixel holographic 3D imaging system based on compressive sensing[C]. Digital Holography and Three-Dimensional Imaging (Optical Society of America), 2013: DW2A. 9.

    [18] J Li, Y Wang, R Li, et al.. Coherent single-detector 3D imaging system[C]. SPIE, 2013, 8913: 891303.

    [19] J Li, Y Li, Y Wang, et al.. Two-step holographic imaging method based on single-pixel compressive imaging[J]. Journal of the Optical Society of Korea, 2014, 18(2): 146-150.

    [20] Pei Hui, Yang Zhenya, Zheng Chujun. Phase-shifting on-axis Fourier transform digital holography based on compressed sensing[J]. Laser & Optoelectronics Progress, 2013, 50(4): 040901.

    [21] Ma Jianshe, Xia Feipeng, Su Ping, et al.. Study on compressive sensing phase-shifting digital holography[J]. Semiconductor Optoelectronics, 2013, 34(1): 130-133.

    [22] Wu Yingchun, Wu Xuecheng, Wang Zhihua, et al.. Reconstruction of digital inline hologram with compressed sensing [J]. Acta Optica Sinica, 2011, 31(11): 1109001.

    [23] U Schnars, W Jüptner. Digital Holography: Digital Hologram Recording, Numerical Reconstruction, and Related Techniques[M]. Berlin: Springer-Verlag, 2004.

    [24] E J Candes, J K Romerg, T Tao. Stable signal recovery from incomplete and inaccurate measurements[J]. Communications on Pure and Applied Mathematics, 2006, 59(8): 1207-1223.

    [25] E J Candes, T Tao. Near-optimal signal recovery from random projections: universal encoding strategies[C]. IEEE Transactions on Information Theory, 2006, 52(12): 5406-5425.

    [26] Osher S. Nonlinear total variation based noise removal algorithm[J]. Physica D-nonlinear Phenomena, 1992, 60(1-4): 259-268.

    [27] J M Bioucas-Dia, M A T Figueiredo. A new twist: two step iterative shrinkage/thresholding algorithms for image restoration[C]. IEEE Transactions on Image Processing, 2007, 16(12): 2992-3004.

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    Weng Jiawen, Qin Yi, Yang Chuping, Li Hai. Reconstruction of Single Low-Coherence Digital Hologram by Compressive Sensing[J]. Laser & Optoelectronics Progress, 2015, 52(10): 100901
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