• Chinese Optics Letters
  • Vol. 19, Issue 10, 102601 (2021)
Zixiao Miao and Qican Zhang*
Author Affiliations
  • Department of Opto-Electronics, Sichuan University, Chengdu 610065, China
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    DOI: 10.3788/COL202119.102601 Cite this Article Set citation alerts
    Zixiao Miao, Qican Zhang. Dual-frequency fringe for improving measurement accuracy of three-dimensional shape measurement[J]. Chinese Optics Letters, 2021, 19(10): 102601 Copy Citation Text show less

    Abstract

    A new phase unwrapping method based on dual-frequency fringe is proposed to improve both high accuracy and large measurement range of three-dimensional shape measurement by synthesizing the projected dual-frequency fringes obtaining higher and lower frequencies. The lower-frequency one is their phase difference, which can help unwrap the wrapped phase of the higher-frequency one from their phase sum. In addition, the relationship between the measuring accuracy and the frequencies of the projected fringes is studied to guide the frequency selection in actual measurement. It is found that the closer the two frequencies are, the higher the measurement accuracy will be. The computer simulation and experiment results show the viability of this method.
    In(x,y)=R(x,y){A(x,y)+B(x,y)cos[ϕ(x,y)2πn/N]},

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    ϕ(x,y)=arctann=0N1In(x,y)sin(2πn/N)n=0N1In(x,y)cos(2πn/N).

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    Φ(x,y)=ϕ(x,y)+2kπ,

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    ϕd(x,y)={ϕh(x,y)ϕl(x,y),ifϕhϕl,ϕh(x,y)ϕl(x,y)+2π,ifϕh<ϕl,ϕs(x,y)={ϕh(x,y)+ϕl(x,y),ifϕh+ϕl0,ϕh(x,y)+ϕl(x,y)+2π,ifϕh+ϕl<0,

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    fd=fhfl,fs=fh+fl.

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    kl=round(Φd·fl/fdϕl2π),

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    Φl(x,y)=ϕl(x,y)+2π·kl(x,y).

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    ks=round(Φl·fs/flϕs2π).

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    Φs(x,y)=ϕs(x,y)+2π·ks(x,y).

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    G=fh+flfhfl.

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    fd=fhfl<flfh<2flG=fh+flfhfl>3.

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    G=fh+flfhfl=1/150+1/1701/1501/170=16.

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    G=fh+flfhfl=1/80+1/851/801/85=33.

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    Zixiao Miao, Qican Zhang. Dual-frequency fringe for improving measurement accuracy of three-dimensional shape measurement[J]. Chinese Optics Letters, 2021, 19(10): 102601
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