• Chinese Optics Letters
  • Vol. 20, Issue 11, 112601 (2022)
Shichao Yang1、2, Hanlin Huang1、2, Gaoxu Wu1、2, Yanxue Wu1、2, Tian Yang1、2, and Fei Liu1、2、*
Author Affiliations
  • 1State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, China
  • 2College of Mechanical Engineering, Chongqing University, Chongqing 400044, China
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    DOI: 10.3788/COL202220.112601 Cite this Article Set citation alerts
    Shichao Yang, Hanlin Huang, Gaoxu Wu, Yanxue Wu, Tian Yang, Fei Liu. High-speed three-dimensional shape measurement with inner shifting-phase fringe projection profilometry[J]. Chinese Optics Letters, 2022, 20(11): 112601 Copy Citation Text show less

    Abstract

    Fringe projection profilometry (FPP) has been extensively studied in the field of three-dimensional (3D) measurement. Although FPP always uses high-frequency fringes to ensure high measurement accuracy, too many patterns are projected to unwrap the phase, which affects the speed of 3D reconstruction. We propose a high-speed 3D shape measurement method using only three high-frequency inner shifting-phase patterns (70 periods), which satisfies both high precision and high measuring speed requirements. Besides, our proposed method obtains the wrapped phase and the fringe order simultaneously without any other information and constraints. The proposed method has successfully reconstructed moving objects with high speed at the camera’s full frame rate (1700 frames per second).
    I1(x,y)=A+B[sin(ϕ(x,y)+α(x,y))cos(ϕ(x,y)+α(x,y))],

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    I2(x,y)=A+B[sin(ϕ(x,y)α(x,y))cos(ϕ(x,y)α(x,y))],

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    I3(x,y)=A+B[sin(ϕ(x,y)+α(x,y))cos(ϕ(x,y)α(x,y))],

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    ϕ(x,y)=2×π×T×xN,

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    α(x,y)=π×xNπ2,

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    φ=arctan(I1I3I3I2),

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    α=arctan(2I3I2I12AI2I1)+π2,

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    2I3I2I1=B×sinα×(cosφsinφ),

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    2AI2I1=B×cosα×(cosφsinφ).

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    k=round(α×2Tφ2π),

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    ϕ=φ+2π×k,

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    Shichao Yang, Hanlin Huang, Gaoxu Wu, Yanxue Wu, Tian Yang, Fei Liu. High-speed three-dimensional shape measurement with inner shifting-phase fringe projection profilometry[J]. Chinese Optics Letters, 2022, 20(11): 112601
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