Acta Optica Sinica, Volume. 41, Issue 12, 1215003(2021)

Fast Shape-From-Shading Algorithm for 3D Reconstruction of Hybrid Surfaces Under Perspective Projection

Guohui Wang* and Xuan Zhang
Author Affiliations
  • School of Optoelectronic Engineering, Xi'an Technological University, Xi'an, Shaanxi 710021, China
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    Figures & Tables(8)
    Reflection geometry relationship of the local surface
    Pinhole perspective projection
    Ground truth of Vase and Mozart. (a) Vase; (b) Mozart
    Vase images and their 3D shape reconstruction results. (a)-(d) Generated images by 4 configurations; (e)-(h) reconstructed results by Vogel algorithm; (i)-(l) reconstructed errors by Vogel algorithm; (m)-(p) reconstructed results by proposed algorithm; (q)-(t) reconstructed errors by proposed algorithm
    Mozart images and their 3D shape reconstruction results. (a)-(d) Generated images by 4 configurations; (e)-(h) reconstructed results by Vogel algorithm; (i)-(l) reconstructed errors by Vogel algorithm; (m)-(p) reconstructed results by proposed algorithm; (q)-(t) reconstructed errors by proposed algorithm
    3D shape reconstruction results of a real image. (a) Real gray image; (b) reconstructed result obtained by Vogel algorithm; (c) reconstructed result obtained by proposed algorithm
    • Table 1. Quantitative comparison of 3D shape reconstruction results of the Vase images

      View table

      Table 1. Quantitative comparison of 3D shape reconstruction results of the Vase images

      FigureMAE /pixelRMSE /pixelRunning time /s
      VogelalgorithmProposedalgorithmVogelalgorithmProposedalgorithmVogelalgorithmProposedalgorithm
      Fig. 4(a)1.57910.51261.68190.59120.310.10
      Fig. 4(b)1.24020.54031.35530.64950.260.10
      Fig. 4(c)1.61590.53381.84270.63340.350.10
      Fig. 4(d)2.20070.52692.56760.61840.660.10
    • Table 2. Quantitative comparison of 3D shape reconstruction results of the Mozart images

      View table

      Table 2. Quantitative comparison of 3D shape reconstruction results of the Mozart images

      FigureMAE /pixelRMSE /pixelRunning time /s
      VogelalgorithmProposedalgorithmVogelalgorithmProposedalgorithmVogelalgorithmProposedalgorithm
      Fig. 5(a)4.40931.90195.14412.33400.750.21
      Fig. 5(b)3.85061.95454.48112.37910.870.21
      Fig. 5(c)3.52871.93894.10062.37010.510.21
      Fig. 5(d)3.71771.92694.33982.36700.890.21
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    Guohui Wang, Xuan Zhang. Fast Shape-From-Shading Algorithm for 3D Reconstruction of Hybrid Surfaces Under Perspective Projection[J]. Acta Optica Sinica, 2021, 41(12): 1215003

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    Paper Information

    Category: Machine Vision

    Received: Dec. 21, 2020

    Accepted: Jan. 26, 2021

    Published Online: Jun. 2, 2021

    The Author Email: Wang Guohui (booler@126.com)

    DOI:10.3788/AOS202141.1215003

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