• Chinese Optics Letters
  • Vol. 14, Issue 7, 070901 (2016)
P. W. M. Tsang1、*, T.-C. Poon2, T. Kim3, and Y. S. Kim3
Author Affiliations
  • 1Department of Electronic Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong SAR, China
  • 2Bradley Department of Electrical and Computer Engineering, Virginia Tech, Blacksburg, VA 24061, USA
  • 3Dept of Optical Engineering, Sejong University, 209, Neungdong-ro, Gwangjin-gu, Seoul, South Korea
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    DOI: 10.3788/COL201614.070901 Cite this Article Set citation alerts
    P. W. M. Tsang, T.-C. Poon, T. Kim, Y. S. Kim. Fast reconstruction of digital holograms for extended depths of field[J]. Chinese Optics Letters, 2016, 14(7): 070901 Copy Citation Text show less
    (a) Image “Lenna.” (b) Cosine hologram of the “Lenna” image, and (c) sine hologram of the “Lenna” image.
    Fig. 1. (a) Image “Lenna.” (b) Cosine hologram of the “Lenna” image, and (c) sine hologram of the “Lenna” image.
    (a) Reconstructed image, at the focal distance of 0.1 m, based on Eq. (2). (b) Reconstructed image, based on our proposed algorithm.
    Fig. 2. (a) Reconstructed image, at the focal distance of 0.1 m, based on Eq. (2). (b) Reconstructed image, based on our proposed algorithm.
    (a) Cosine hologram of the “Star-Heart” pattern and (b) sine hologram of the “Star-Heart” pattern.
    Fig. 3. (a) Cosine hologram of the “Star-Heart” pattern and (b) sine hologram of the “Star-Heart” pattern.
    (a) Reconstructed image, at the focal distance 0.099 m (focusing on the Star symbol), based on Eq. (2). (b) Reconstructed image, at the focal distance 0.124 m (focusing on the Heart symbol), based on Eq. (2). (c) Image reconstructed from the “Star-Heart” complex hologram with our proposed method.
    Fig. 4. (a) Reconstructed image, at the focal distance 0.099 m (focusing on the Star symbol), based on Eq. (2). (b) Reconstructed image, at the focal distance 0.124 m (focusing on the Heart symbol), based on Eq. (2). (c) Image reconstructed from the “Star-Heart” complex hologram with our proposed method.
    Image reconstructed from the combined “Lenna” and “Star-Heart” complex holograms with our proposed method.
    Fig. 5. Image reconstructed from the combined “Lenna” and “Star-Heart” complex holograms with our proposed method.
    DescriptionComputation time
    Fourier transform of H(x,y), 512×512 pixels2 ms
    S˜i(ωx,ωy)|0i<N=FT[H(x,y)]×FT[F*(x,y;zi)]Negligiblea
    Inverse fourier transform of S˜i(ωx,ωy)0i<N2Nms
    Selection of pixels from sections (Eq. (3))Negligiblea
    Total2(N+1)ms
    Table 1. Computation Time Involved in Each Stage of the Proposed Algorithm, N=51
    P. W. M. Tsang, T.-C. Poon, T. Kim, Y. S. Kim. Fast reconstruction of digital holograms for extended depths of field[J]. Chinese Optics Letters, 2016, 14(7): 070901
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