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Acta Optica Sinica, Volume. 44, Issue 22, 2224001(2024)

Modeling and Inverse Rendering of Polarimetric Bidirectional Reflectance Distribution Function for Metal Surfaces

Yupei Miao1,2,3, Jiaying Chen1,2,3, Xiaojie Zhang1,2,3, Zewei Cai1,2,3, and Xiaoli Liu1,2,3、*
Author Affiliations
  • 1State Key Laboratory of Radio Frequency Heterogeneous Integration, Shenzhen University, Shenzhen 518060, Guangdong , China
  • 2Shenzhen Key Laboratory of Intelligent Optical Measurement and Sensing, Shenzhen 518060, Guangdong , China
  • 3Key Laboratory of Optoelectronic Devices and System, Ministry of Education, Shenzhen 518060, Guangdong , China
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    References (31)
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    Figures & Tables(16)
    Schematics of metal surface reflection. (a) Specular reflection; (b) diffuse reflection

    Fig. 1. Schematics of metal surface reflection. (a) Specular reflection; (b) diffuse reflection

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    Schematics of polarimetric imaging setup. (a) Incident linearly polarized light; (b) incident circularly polarized light

    Fig. 2. Schematics of polarimetric imaging setup. (a) Incident linearly polarized light; (b) incident circularly polarized light

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    Overall flow chart

    Fig. 3. Overall flow chart

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    Mueller matrices of chrome sphere. (a) KAIST model; (b) proposed model; (c) proposed model and its difference with respect to KAIST; (d) C-T model; (e) C-T model and its difference with respect to KAIST

    Fig. 4. Mueller matrices of chrome sphere. (a) KAIST model; (b) proposed model; (c) proposed model and its difference with respect to KAIST; (d) C-T model; (e) C-T model and its difference with respect to KAIST

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    Mueller matrices of golden bunny. (a) KAIST model; (b) proposed model; (c) proposed model and its difference with respect to KAIST; (d) C-T model; (e) C-T model and its difference with respect to KAIST

    Fig. 5. Mueller matrices of golden bunny. (a) KAIST model; (b) proposed model; (c) proposed model and its difference with respect to KAIST; (d) C-T model; (e) C-T model and its difference with respect to KAIST

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    Rendering results of golden bunny at different angles. (a) KAIST model; (b) proposed model; (c) C-T model

    Fig. 6. Rendering results of golden bunny at different angles. (a) KAIST model; (b) proposed model; (c) C-T model

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    Rendering of metal pBRDF model under natural lighting. (a) Specular reflection and diffuse reflection; (b) specular reflection; (c) diffuse reflection

    Fig. 7. Rendering of metal pBRDF model under natural lighting. (a) Specular reflection and diffuse reflection; (b) specular reflection; (c) diffuse reflection

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    Polarimetric imaging setup

    Fig. 8. Polarimetric imaging setup

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    Sparse point clouds reconstructed by SfM

    Fig. 9. Sparse point clouds reconstructed by SfM

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    Comparison of point clouds before and after Poisson reconstruction. (a)(b) Point clouds before Poisson reconstruction; (c)(d) point clouds after Poisson reconstruction

    Fig. 10. Comparison of point clouds before and after Poisson reconstruction. (a)(b) Point clouds before Poisson reconstruction; (c)(d) point clouds after Poisson reconstruction

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    Reconstructed result of Mueller matrix of object

    Fig. 11. Reconstructed result of Mueller matrix of object

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    Results of specular reflection and diffuse reflection. (a) Specular reflection; (b) diffuse reflection

    Fig. 12. Results of specular reflection and diffuse reflection. (a) Specular reflection; (b) diffuse reflection

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    Relighting results. (a) Front view, light source on left side; (b) front view, light source on right side; (c) rear view, light source on left side; (d) rear view, light source on right side

    Fig. 13. Relighting results. (a) Front view, light source on left side; (b) front view, light source on right side; (c) rear view, light source on left side; (d) rear view, light source on right side

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    Relighting results of specular and diffuse reflection components. (a) Specular reflection component with light sources positioned respectively on left, middle, and right sides; (b) diffuse reflection component with light sources positioned respectively on left, middle, and right sides

    Fig. 14. Relighting results of specular and diffuse reflection components. (a) Specular reflection component with light sources positioned respectively on left, middle, and right sides; (b) diffuse reflection component with light sources positioned respectively on left, middle, and right sides

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    3D and polarimetric SVBRDF reconstruction results. (a) 3D reconstruction; (b) normal; (c) specular reflection; (d) diffuse reflection; (e) real part of refractive index; (f) imaginary part of refractive index; (g) roughness

    Fig. 15. 3D and polarimetric SVBRDF reconstruction results. (a) 3D reconstruction; (b) normal; (c) specular reflection; (d) diffuse reflection; (e) real part of refractive index; (f) imaginary part of refractive index; (g) roughness

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    • Table 1. Calibration results for camera-projector system

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      Table 1. Calibration results for camera-projector system

      ParametersCameraProjector
      fx, fy /pixel3481.86, 3485.421516.47, 1514.08
      Cx, Cy /pixel1248.19, 1026.52958.71, 545.22
      k(-0.0969, 2.4275, -0.0014, -0.0007, 0)(-0.1095, -0.1864, 0.0009, -0.0011, 0)
      rs /rad(0.0050, -0.1117, -0.0047)
      ts /mm(82.6185, -20.5194, -20.4354)
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    Yupei Miao, Jiaying Chen, Xiaojie Zhang, Zewei Cai, Xiaoli Liu. Modeling and Inverse Rendering of Polarimetric Bidirectional Reflectance Distribution Function for Metal Surfaces[J]. Acta Optica Sinica, 2024, 44(22): 2224001

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    Paper Information

    Category: Optics at Surfaces

    Received: May. 22, 2024

    Accepted: Jul. 25, 2024

    Published Online: Nov. 20, 2024

    The Author Email: Xiaoli Liu (lxl@szu.edu.cn)

    DOI:10.3788/AOS241051

    CSTR:32393.14.AOS241051

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology