• Chinese Optics Letters
  • Vol. 22, Issue 10, 101101 (2024)
Pengcheng Ji1, Qingfan Wu1, Shengfu Cao1, Huijuan Zhang1..., Zhaohua Yang2,* and Yuanjin Yu1,3,4,**|Show fewer author(s)
Author Affiliations
  • 1School of Automation, Beijing Institute of Technology, Beijing 100081, China
  • 2School of Instrumentation Science and Optoelectronics Engineering, Beijing University, Beijing 100191, China
  • 3MIIT Key Laboratory of Complex-field Intelligent Sensing, Beijing Institute of Technology, Beijing 100081, China
  • 4Yangtze Delta Region Academy of Beijing Institute of Technology, Jiaxing 314019, China
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    DOI: 10.3788/COL202422.101101 Cite this Article Set citation alerts
    Pengcheng Ji, Qingfan Wu, Shengfu Cao, Huijuan Zhang, Zhaohua Yang, Yuanjin Yu, "Single-pixel imaging of a moving object with multi-motion," Chin. Opt. Lett. 22, 101101 (2024) Copy Citation Text show less

    Abstract

    Motion blur restoration is essential for the imaging of moving objects, especially for single-pixel imaging (SPI), which requires multiple measurements. To reconstruct the image of a moving object with multiple motion modes, we propose a novel motion blur restoration method of SPI using geometric moment patterns. We design a novel localization method that uses normalized differential first-order moments and central moment patterns to determine the object’s translational position and rotation angle information. Then, we perform motion compensation by using shifting Hadamard patterns. Our method effectively improves the detection accuracy of multiple motion modes and enhances the quality of the reconstructed image. We perform simulations and experiments, and the results validate the effectiveness of the proposed method.
    mpq=x,yxpyqf(x,y),

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    Gpq(x,y)=xpyq,G00(x,y)=x0y0,G01(x,y)=x0y1,G10(x,y)=x1y0,G11(x,y)=x1y1,G02(x,y)=x0y2,G20(x,y)=x2y0.

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    m00=xyf(x,y)m00b,m10=xy[x·f(x,y)]m10b,m01=xy[y·f(x,y)]m01b,xc=m10m00,yc=m01m00,

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    μ20=m20m00xc2,μ02=m02m00yc2,μ11=m11m00xcyc.

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    M=[μ20μ11μ11μ02].

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    θ=arctan(v1(2)v1(1)),l1=2max(λ1,λ2)·m00,l2=2min(λ1,λ2)·m00.

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    μpq=x,y(xxc)p(yyc)qf(x,y)=x,yCpq(x,y)f(x,y),

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    μpq+=x,yf(x,y)(xxc)p(yyc)qaba+eμpq+b,μpq=x,yf(x,y)[1(xxc)p(yyc)qaba]+eμpqb,μpq=(ba)(μpq+μpq)+(b+a)m00,

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    MSE(x,y)=1ni=1n(xiyi)2,PSNR(x,y)=10logpeakval2MSE(x,y).

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    d=v×nf,

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    Pengcheng Ji, Qingfan Wu, Shengfu Cao, Huijuan Zhang, Zhaohua Yang, Yuanjin Yu, "Single-pixel imaging of a moving object with multi-motion," Chin. Opt. Lett. 22, 101101 (2024)
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