• Chinese Optics Letters
  • Vol. 14, Issue 6, 060901 (2016)
Yuan Hong, Tielin Shi, Yichun Zhang, and Guanglan Liao*
Author Affiliations
  • State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan 430074, China
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    DOI: 10.3788/COL201614.060901 Cite this Article Set citation alerts
    Yuan Hong, Tielin Shi, Yichun Zhang, Guanglan Liao. Fringe contrast enhancement of digital off-axis hologram via sparse representation[J]. Chinese Optics Letters, 2016, 14(6): 060901 Copy Citation Text show less

    Abstract

    This Letter presents a novel approach to enhance the fringe contrast (visibility) in a digital off-axis hologram digitally, which can save several adjustment procedures. In the approach, we train a pair of coupled dictionaries from a low fringe contrast hologram and a high one of the same specimen, use the dictionaries to sparse code the input hologram, and finally output a higher fringe contrast hologram. The sparse representation shows good adaptability on holograms. The experimental results demonstrate the benefit of low noise in a three-dimensional profile and prove the effectiveness of the approach.
    H=|O|2+|R|2+2|OR||γ|cos(φ+ns)+na,(1)

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    minDx,Dyi=1N(μDxzjxj22+(1μ)Dyzjyj22),(2)

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    minDxi=1NDxzjxj22s.t.zj=argminαyjDyα22+λα1,i=1,,NDx(:,k)21,k=1,,K.(3)

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    xi=Dxα.(4)

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    yi=Dyα.(5)

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    minαDyαyi22+λα1.(6)

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    Yuan Hong, Tielin Shi, Yichun Zhang, Guanglan Liao. Fringe contrast enhancement of digital off-axis hologram via sparse representation[J]. Chinese Optics Letters, 2016, 14(6): 060901
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