• Photonics Research
  • Vol. 10, Issue 11, 2590 (2022)
Sijie Zhu1、†, Zhoujie Wu1、†, Jing Zhang2, Qican Zhang1, and Yajun Wang1、*
Author Affiliations
  • 1College of Electronics and Information Engineering, Sichuan University, Chengdu 610065, China
  • 2State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing, Wuhan University, Wuhan 430079, China
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    DOI: 10.1364/PRJ.468658 Cite this Article Set citation alerts
    Sijie Zhu, Zhoujie Wu, Jing Zhang, Qican Zhang, Yajun Wang. Superfast and large-depth-range sinusoidal fringe generation for multi-dimensional information sensing[J]. Photonics Research, 2022, 10(11): 2590 Copy Citation Text show less

    Abstract

    Among many multi-dimensional information sensing methods such as structured-light and single-pixel imaging technologies, sinusoidal fringe generation is general and crucial. Current methods of sinusoidal fringe generation force concessions in either the speed or the depth range. To mitigate this trade-off, we have simultaneously achieved both speed breakthrough and depth range enhancement by improving both the optical projection system and binary coding algorithm based on an off-the-shelf projector. Specifically, we propose a multifocal projection system and oblique projection method, which essentially eliminates the existence of a single focal plane in the conventional axisymmetric system and utilizes its anisotropy characteristics to achieve a superior filtering effect. Furthermore, the optimal pulse width modulation technique is introduced to modulate the square binary pattern for eliminating specific harmonics. To the best of our knowledge, the proposed method, for the first time, simultaneously achieved superfast (9524 frames per second) and large-depth-range (560 mm, about three times that of the conventional method) sinusoidal fringe generation with consistently high accuracy. Experimental results demonstrate the superior performance of the proposed method in multi-dimensional information sensing such as 3D, 4D, and [x, y, z, t; s (strain)].
    Bi(xp,yp)=I(xp,yp)+I(xp,yp)k=012k+1cos{(2k+1)[ϕ(xp,yp)+2πiN]}.

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    G(xp,yp)=12πσ2exp[xp2+yp22σ2],

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    G(xp,yp,σx,σy,)=12πσxσyexp[(xp22σx2+yp22σy2)],

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    (uv)=[cosθsinθsinθcosθ](xy),

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    G(xp,yp,σu,σv,)=12πσuσvexp[(xp22σu2+yp22σv2)],

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    bk=4πθ=0π/2f(β)sin(kβ)dβ.

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    bk=4π0α1sin(kβ)dβ+4πα2α3sin(kβ)dβ++4παnπ/2sin(kβ)dβ=4kπ(1coskα1+coskα2coskα3++coskαn).

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    {b1=4π[1cos(α1)+cos(α2)cos(α3)+cos(α4)]=m,b5=45π[1cos(5α1)+cos(5α2)cos(5α3)+cos(5α4)]=0,b7=47π[1cos(7α1)+cos(7α2)cos(7α3)+cos(7α4)]=0,b11=411π[1cos(11α1)+cos(11α2)cos(11α3)+cos(11α4)]=0,

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    Sijie Zhu, Zhoujie Wu, Jing Zhang, Qican Zhang, Yajun Wang. Superfast and large-depth-range sinusoidal fringe generation for multi-dimensional information sensing[J]. Photonics Research, 2022, 10(11): 2590
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