• Acta Optica Sinica
  • Vol. 41, Issue 12, 1215003 (2021)
Guohui Wang* and Xuan Zhang
Author Affiliations
  • School of Optoelectronic Engineering, Xi'an Technological University, Xi'an, Shaanxi 710021, China
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    DOI: 10.3788/AOS202141.1215003 Cite this Article Set citation alerts
    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 Copy Citation Text show less
    Reflection geometry relationship of the local surface
    Fig. 1. Reflection geometry relationship of the local surface
    Pinhole perspective projection
    Fig. 2. Pinhole perspective projection
    Ground truth of Vase and Mozart. (a) Vase; (b) Mozart
    Fig. 3. 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
    Fig. 4. 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
    Fig. 5. 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
    Fig. 6. 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
    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 1. Quantitative comparison of 3D shape reconstruction results of the Vase 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
    Table 2. Quantitative comparison of 3D shape reconstruction results of the Mozart images
    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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