• Opto-Electronic Engineering
  • Vol. 42, Issue 1, 32 (2015)
WENG Jiawen1、*, LI Hai1, YANG Chuping1, LI Wanqi1, and ZHONG Jingang2
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
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    DOI: 10.3969/j.issn.1003-501x.2015.01.006 Cite this Article
    WENG Jiawen, LI Hai, YANG Chuping, LI Wanqi, ZHONG Jingang. Reconstruction of Off-axis Fresnel Hologram by Compressive Sensing[J]. Opto-Electronic Engineering, 2015, 42(1): 32 Copy Citation Text show less
    References

    [1] Goodman J W,Lawrence R W. Digitl image formation from electronically detected holograms [J]. Applied Physics Letters(S0003-6951),1967,11:77-79.

    [2] Schnars U,Jueptner W P. Digital recording and numerical reconstruction of holograms [J]. Measurement Science & Technology(S0957-0233),2002,13(9):R85-R101.

    [3] Shimobaba T,Sato Y,Miura J,et al. Real-time digital holographic microscopy using the graphic processing unit [J]. Optics Express(S1094-4087),2008,16(16):11776-11781.

    [4] YU Lingfeng,Kim M K. Wavelength-scanning digital interference holography for tomographic three-dimensional imaging by use of the angular spectrum method [J]. Optics Letters(S0146-9592),2005,30(16):2092-2094.

    [5] Debailleul M,Simon B,Georges V,et al. Holographic microscopy and diffractive microtomography of transparent samples [J]. Measurement Science & Technology(S0957-0233),2008,19:074009.

    [6] Kühn J,Montfort F,Colomb T,et al. Depeursinge. Submicrometer tomography of cells by multiplewavelength digital holographic microscopy in reflection [J]. Optics Letters(S0146-9592),2009,34(5):653-655.

    [7] ZHOU Wenjing,XU Qiangsheng,YU Yingjie. Analysis of Tomography Reconstruction Based on Three Projections [J]. Acta Photonica Sinica,2010,39(7):1257-1262.

    [8] ZHOU Wenjing,HU Wentao,QU Hui,et al. Recording and numerical reconstruction of single digital tomographic hologram [J]. Acta Physica Sinica,2012,61(16):164212.

    [9] Paturzo M,Memmolo P,Tulino A,et al. Investigation of angular multiplexing and de-multiplexing of digital holograms recorded in microscope configuration [J]. Optics Express(S1094-4087),2009,17(11):8709-8718.

    [10] WENG Jiawen,ZHONG Jingang. Angular multiplexing and de-multiplexing by Gabor wavelet transform in digital holography [J]. Optics Communications(S0030-4018),2013,291:124-132.

    [11] Dondoho D. Compressed Sensing [J]. IEEE Transactions on information Theory(S0018-9448),2006,52(4):1289-1306.

    [12] Candès E,Wakin M. An introduction to compressive sampling [J]. IEEE Signal Processing Magazine(S1053-5888),2008, 25(2):21-30.

    [13] Denis L , Lorenz D , Thiébaut E , et al. Inline Hologram Reconstruction with Sparsity Constraints [J]. Optics Letters(S0146-9592),2009,34(22):3475-3477.

    [14] Fournier C,Denis L,Fournel T. On the single point resolution of on-axis digital holography [J]. Journal of the Optical Society of America A-Optics Image Science and Vision(S1084-7529),2010,A27:1856-1862.

    [15] Brady D J,Choi K,Marks D L,et al. Compressive Holography [J]. Optics Express(S1094-4087),2009,17(15):13040-13049.

    [16] Hahn J,Lim S,Choi K,et al. Video-rate compressive holographic microscopic tomography [J]. Optics Express(S1094-4087), 2011,19(8):7289-7298.

    [17] Lim S,Marks D L,Brady D J. Sampling and processing for compressive holography [J]. Applied Optics(S0003-6935),2011, 50(34):H75-H86.

    [18] Rivenson Y,Stern A,Javidi B. Compressive Fresnel holography [J]. Journal of Display Technology(S1551-319X),2010, 6(10):506-509.

    [19] Rivenson Y,Stern A. Conditions for practicing compressive Fresnel holography [J]. Optics Letters(S0146-9592),2011,36(17): 3365-3367.

    [20] Horisaki R,Tanida J,Stern A,et al. Multidimensional imaging using compressive Fresnel holography [J]. Optics Letters(S0146-9592),2012,37(11):2013-2015.

    [21] Rivenson Y, Stern A, Javidi B. Overview of compressive sensing techniques applied in holography [J]. Applied Optics(S0003-6935),2013,52(1):A423-A432.

    [22] Marim M M,Atlan M,Angelini E D,et al. Compressed sensing with off-axis frequency-shifting holography [J]. Optics Letters(S0146-9592),2010,35(6):871-873.

    [23] Marim M M,Angelini E D,Olivo-Marin JC,et al. Off-axis compressed holographic microscopy in low light conditions [J]. Optics Letters(S0146-9592),2011,36(1):79-81.

    [24] Candes E J,Romberg J K,Tao T. Stable signal recovery from incomplete and inaccurate measurements [J]. Communications on Pure and Applied Mathematics(S0010-3640),2006,59(8):1207-1223.

    [25] Candes E J,Tao T. Near-optimal signal recovery from random projections:Universal encoding strategies [J]. IEEE Transactions on Information Theory(S0018-9448),2006,52(12):5406-5425.

    [26] Rudin L,Osher S,Fatemi E. Nonlinear total variation based noise removal algorithm [J]. Physica D(S0167-2789),1992,60: 259-268.

    [27] WENG Jiawen,ZHONG Jingang,HU Cuiying. Automatic spatial filtering to obtain the virtual image term in digital holographic microscopy [J]. Applied Optics(S0003-6935),2010,49(2):189-195.

    [29] Bioucas-Dia J M,Figueiredo M A T. A new twist:twostep iterative shrinkage/thresholding algorithms for image restoration. IEEE Transactions on Image Processing(S1057-7149),2007,16(12):2992-3004.

    CLP Journals

    [1] Wang Xiangxiang, Zhang Cheng, Shen Chuan, Zhang Kai, Wang Ye, Wei Sui. Frequency Domain Compressive Reconstruction of Fresnel Hologram for Complex Three-Dimensional Object[J]. Acta Optica Sinica, 2017, 37(7): 709001

    WENG Jiawen, LI Hai, YANG Chuping, LI Wanqi, ZHONG Jingang. Reconstruction of Off-axis Fresnel Hologram by Compressive Sensing[J]. Opto-Electronic Engineering, 2015, 42(1): 32
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