• Optics and Precision Engineering
  • Vol. 32, Issue 17, 2663 (2024)
Jiawen WANG1, Junqing WU2, Minyang WU1, Yingbiao AN1..., Jingjing LIU2, Bin YAN2,* and Fujun YANG1,*|Show fewer author(s)
Author Affiliations
  • 1School of Civil Engineering, Southeast University, Nanjing289, China
  • 2Department of Orthodontics, The Affiliated Stomatological Hospital of Nanjing Medical University, Nanjing1009, China
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    DOI: 10.37188/OPE.20243217.2663 Cite this Article
    Jiawen WANG, Junqing WU, Minyang WU, Yingbiao AN, Jingjing LIU, Bin YAN, Fujun YANG. Whole-field deformation measurement of clear orthodontic aligner using electronic speckle pattern interferometry[J]. Optics and Precision Engineering, 2024, 32(17): 2663 Copy Citation Text show less

    Abstract

    To objectively and accurately measure the full-field deformation of clear aligners for improved clinical effectiveness and safety, a comprehensive three-dimensional deformation measurement system based on laser electronic speckle pattern interferometry has been established. The specimen's surface is illuminated with a tri-wavelength laser, generating a color speckle pattern. A phase-shift device produces a quasi π/2 phase step for all three color channels. Multi-frame images of the color speckle pattern are captured using a 3CCD color camera. Deformation phases are extracted using a 90° step four-frame technique from the separated red, green, and blue channels. A window-deformable filter effectively denoises the phase fringe patterns, allowing six derivative components to be obtained directly from the three deformation components using a digital differential method. Results show that the system achieves a precision of no more than 2.4'' for micro-rotation and better than 10 με for strain measurements. Experimental results on clear aligners align closely with expected outcomes.
    φr=(kz-k-z)s=2πλr[(0,0,ez)-(0,0,-ez)](u,v,w)=4πwλr,(1)

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    φb=(kx-z+kz)s-(k-x-z+kz)s=2πλb[(exsinθ,0,-ezcosθ)-(-exsinθ,0,-ezcosθ)](u,v,w)=4πusinθλb,(2)

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    φg==4πvsinθλg(3)

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    I(x,y)=a(x,y)+b(x,y)cosφ(x,y)(4)

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    Ii(x,y)=a(x,y)+b(x,y)cos[φ(x,y)+iδ]                              (i=0,1,2,3).                              (5)(5)

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    φ(x,y)=arctanI3(x,y)-I1(x,y)I0(x,y)-I2(x,y)(6)

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    u=AA'sinα(OA·β)sinα=(OA·sinα)β=yβ,(7)

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    v=-AA'cosα-(OA·β)cosα=-(OA·cosα)β=xβ.(8)

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    εxx=u(x,y)x(9)

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    εyy=v(x,y)y(10)

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    εxy=12u(x,y)y+v(x,y)x(11)

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    Δ=12u(x,y)y-v(x,y)x(12)

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    εzx=w(x,y)x(13)

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    εzy=w(x,y)y(14)

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    Jiawen WANG, Junqing WU, Minyang WU, Yingbiao AN, Jingjing LIU, Bin YAN, Fujun YANG. Whole-field deformation measurement of clear orthodontic aligner using electronic speckle pattern interferometry[J]. Optics and Precision Engineering, 2024, 32(17): 2663
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