• Acta Photonica Sinica
  • Vol. 50, Issue 9, 0912002 (2021)
Yaqin SUN, Fan WANG, Jin YU, Ang ZHANG, Can ZHANG, Yuzhuo ZHANG, Nan GAO, Zhaozong MENG, and Zonghua ZHANG
Author Affiliations
  • School of Mechanical Engineering, Hebei University of Technology, Tianjin300130China
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    DOI: 10.3788/gzxb20215009.0912002 Cite this Article
    Yaqin SUN, Fan WANG, Jin YU, Ang ZHANG, Can ZHANG, Yuzhuo ZHANG, Nan GAO, Zhaozong MENG, Zonghua ZHANG. Distortion Measurement and Correction of Projector Based on Phase Target[J]. Acta Photonica Sinica, 2021, 50(9): 0912002 Copy Citation Text show less

    Abstract

    The traditional calibration method for calculating projector distortion is complex in system structure and theoretical derivation. Aiming at this problem, a method of measuring and correcting the distortion of the projector based on a phase target was proposed in this paper. In this method a liquid crystal display was attached with holographic projection film as a phase target. The liquid crystal display sequentially displayed the horizontal and vertical sinusoidal fringe images to obtain the unwrapping phases. The projector projected the horizontal and vertical sinusoidal fringes images to the phase target, then their unwrapping phases were calculated respectively. Using the corresponding relationship between the two sets of phase on each camera pixel, the projection phase of the projector was converted to the liquid crystal display phase coordinate system, then the distortion of the projector can be measured. The distortion was corrected according to the acquired phase space relationship, so that the isophase lines projected by the projector were linearly distributed on the phase target. Experimental results prove that the method proposed in this paper can measure and correct the distortion of the projector without the influence of camera imaging quality. It can improve the projection quality for the fringe projection three-dimensional profile measurement technology.
    Itx,y=I0x,y+I00x,ycosφx,y+π2×t-1+Inx,y(1)

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    φx,y=arctanI4x,y-I2x,yI1x,y-I3x,y(2)

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    k=y1-y2x1-x2(3)

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    b=y1-k×x1(4)

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    y=k×x1+b(5)

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    φv=φv0+k×φu0-k×bk2+1(6)

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    φh=k×φv0+k2×φu0+bk2+1(7)

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    Δφh=φLcd_h_old-φLcd_h_new(8)

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    Δφv=φLcd_v_old-φLcd_v_new(9)

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    a=maxφhpup,vp-minφhpup,vpHb=maxφvpup,vp-minφvpup,vpV(10)

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    vp=φhpuc,vca+H2up=φvpuc,vcb+V2(11)

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    fx,y=p00+p10×x+p01×y(12)

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    Yaqin SUN, Fan WANG, Jin YU, Ang ZHANG, Can ZHANG, Yuzhuo ZHANG, Nan GAO, Zhaozong MENG, Zonghua ZHANG. Distortion Measurement and Correction of Projector Based on Phase Target[J]. Acta Photonica Sinica, 2021, 50(9): 0912002
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