Acta Photonica Sinica, Volume. 54, Issue 1, 0130003(2025)

Optimization of Geometric Attenuation Factor in Six-parameter Spectral BRDF Model

Yue YU1, Liguo WANG1, Biao WANG2, Zhiqiang YANG1, Ge ZHANG1, Haoran JIN1, Zhensen WU3, Baoyin ZHAO1,4, and Lei GONG1、*
Author Affiliations
  • 1School of Photoelectric Engineering,Xi'an Technological University,Xi'an 710021,China
  • 2National Key Laboratory of Scattering and Radiation,Shanghai 200438,China
  • 3School of Physics,Xidian University,Xi'an 710071,China
  • 4xi'an Oe Photonics Co.,Ltd.,Xi'an 710021,China
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    Figures & Tables(14)
    Geometric relation of BRDF
    Measurement plates
    Measurement data of plates when angle of incidence is 30°
    Measurement data of plates when angle of incidence is 45°
    Trends in six parameters
    Theoretical value of frosted stainless steels plate
    Error data of frosted stainless steels plate
    Comparison of theoretical value with calculated value of optimized geometric attenuation factor
    Error data of frosted stainless steels plate after optimization
    • Table 1. RMSE of frosted stainless-steel plate for each band at scattering angle of -80° to 80°

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      Table 1. RMSE of frosted stainless-steel plate for each band at scattering angle of -80° to 80°

      Angle of incidence15°30°45°60°
      Wavelength 402~500 nm0.035 0660.062 5380.026 9130.031 331
      Wavelength 502~600 nm0.043 2060.068 5150.029 6690.042 265
      Wavelength 602~700 nm0.046 4600.069 4250.030 5810.044 824
      Wavelength 702~800 nm0.038 9660.067 2490.029 0070.038 082
      Wavelength 802~900 nm0.028 5280.058 5630.025 9920.028 126
      Wavelength 902~1 000 nm0.029 1230.056 3500.025 5630.025 483
      Wavelength 1 002~1 112 nm0.030 7640.055 9950.025 4160.025 121
    • Table 2. RMSE of frosted stainless steel plate for each band at scattering angle -87°~-80° and 80°~87°

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      Table 2. RMSE of frosted stainless steel plate for each band at scattering angle -87°~-80° and 80°~87°

      Angle of incidence15°30°45°60°
      Wavelength 402~500 nm0.070 9230.087 8640.037 0340.046 804
      Wavelength 502~600 nm0.096 0690.063 4610.037 1860.065 326
      Wavelength 602~700 nm0.089 2930.063 0320.042 9700.067 693
      Wavelength 702~800 nm0.103 1210.074 6030.047 0370.054 510
      Wavelength 802~900 nm0.111 9010.116 3660.055 4320.046 176
      Wavelength 902~1 000 nm0.152 9490.139 8540.065 9850.047 171
      Wavelength 1 002~1 112 nm0.129 7510.119 7320.064 0270.062 817
    • Table 3. Calculation of the coefficients corresponding to plates

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      Table 3. Calculation of the coefficients corresponding to plates

      Platesmn
      Stainless steel2.514-0.001 337
      Frosted stainless steel2.872-0.001 457
      Aluminium2.641-0.001 602
      Plumbago2.358-0.001 174
    • Table 4. RMSE of frosted stainless-steel plate after optimization for each band at scattering angle -80°~80°

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      Table 4. RMSE of frosted stainless-steel plate after optimization for each band at scattering angle -80°~80°

      Angle of incidence15°30°45°60°
      Wavelength 402~500 nm0.025 6060.041 0310.022 1320.025 719
      Wavelength 502~600 nm0.034 1190.047 3700.023 7750.038 959
      Wavelength 602~700 nm0.036 9760.048 8850.024 6510.041 946
      Wavelength 702~800 nm0.030 7690.046 0500.023 2640.033 429
      Wavelength 802~900 nm0.024 2250.037 0550.022 2500.022 793
      Wavelength 902~1 000 nm0.021 4470.035 0560.022 5360.019 045
      Wavelength 1 002~1 112 nm0.023 9390.034 9410.021 9270.018 875
    • Table 5. RMSE of frosted stainless steel plate after optimization for each band at scattering angle -87°~-80° and 80°~87°

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      Table 5. RMSE of frosted stainless steel plate after optimization for each band at scattering angle -87°~-80° and 80°~87°

      Angle of incidence15°30°45°60°
      Wavelength 402~500 nm0.039 8460.047 0710.015 5510.027 032
      Wavelength 502~600 nm0.041 0190.031 3280.024 2830.024 325
      Wavelength 602~700 nm0.037 4210.037 9560.030 3560.031 690
      Wavelength 702~800 nm0.052 9820.031 7780.022 5530.024 540
      Wavelength 802~900 nm0.059 2220.047 6390.020 6320.016 511
      Wavelength 902~1 000 nm0.074 7510.061 5230.033 0600.027 120
      Wavelength 1 002~1 112 nm0.062 1010.042 1780.031 0090.018 950
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    Yue YU, Liguo WANG, Biao WANG, Zhiqiang YANG, Ge ZHANG, Haoran JIN, Zhensen WU, Baoyin ZHAO, Lei GONG. Optimization of Geometric Attenuation Factor in Six-parameter Spectral BRDF Model[J]. Acta Photonica Sinica, 2025, 54(1): 0130003

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    Paper Information

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    Received: Jul. 16, 2024

    Accepted: Nov. 1, 2024

    Published Online: Mar. 5, 2025

    The Author Email: Lei GONG (gonglei@xatu.edu.cn)

    DOI:10.3788/gzxb20255401.0130003

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