• Infrared and Laser Engineering
  • Vol. 52, Issue 2, 20220355 (2023)
Li Fu1, Jinhao Fan1, Zhaoyi Zhang1, and Lei Zhang2
Author Affiliations
  • 1School of Automation, Shenyang Aerospace University, Shenyang 110136, China
  • 2Shenyang Aircraft Design Research Institute, Shenyang 110136, China
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    DOI: 10.3788/IRLA20220355 Cite this Article
    Li Fu, Jinhao Fan, Zhaoyi Zhang, Lei Zhang. Wall emissivity solved by bidirectional reflection distribution function combined with Bi-LSTM network[J]. Infrared and Laser Engineering, 2023, 52(2): 20220355 Copy Citation Text show less
    Geometric definition of bidirectional reflection distribution function
    Fig. 1. Geometric definition of bidirectional reflection distribution function
    Space angle definition of observation direction
    Fig. 2. Space angle definition of observation direction
    Reflectance envelope of light source perpendicular to wall surface
    Fig. 3. Reflectance envelope of light source perpendicular to wall surface
    Block diagram of wall reflection brightness measurement system
    Fig. 4. Block diagram of wall reflection brightness measurement system
    Beam shaping
    Fig. 5. Beam shaping
    Schematic diagram of wall reflection brightness light path
    Fig. 6. Schematic diagram of wall reflection brightness light path
    RNN architecture
    Fig. 7. RNN architecture
    LSTM node model
    Fig. 8. LSTM node model
    Bi-LSTM network model
    Fig. 9. Bi-LSTM network model
    Regression band and atmospheric window
    Fig. 10. Regression band and atmospheric window
    Luminance regression network structure
    Fig. 11. Luminance regression network structure
    Loss of RMSE during training
    Fig. 12. Loss of RMSE during training
    Calibrate blackbody brightness and emissivity. (a) Radiance curve; (b) Emissivity curve
    Fig. 13. Calibrate blackbody brightness and emissivity. (a) Radiance curve; (b) Emissivity curve
    Wall reflection radiance measurement experimental system. (a) Reflected radiation source; (b) MR170 radiometer
    Fig. 14. Wall reflection radiance measurement experimental system. (a) Reflected radiation source; (b) MR170 radiometer
    Brightness curve measured in the direction of observation angle =35°. (a) 3-5 μm; (b) 8-14 μm观测角度=35°方向测量所得亮度曲线。 (a) 3~5 μm;(b) 8~14 μm
    Fig. 15. Brightness curve measured in the direction of observation angle =35°. (a) 3-5 μm; (b) 8-14 μm 观测角度 =35°方向测量所得亮度曲线。 (a) 3~5 μm;(b) 8~14 μm
    Measurement results of each observation angle (3-5 μm). (a) Luminance regression curve; (b) BRDF curve
    Fig. 16. Measurement results of each observation angle (3-5 μm). (a) Luminance regression curve; (b) BRDF curve
    Measurement results of each observation angle (8-14 μm). (a) Luminance regression curve; (b) BRDF curve
    Fig. 17. Measurement results of each observation angle (8-14 μm). (a) Luminance regression curve; (b) BRDF curve
    Data setDimensionFeatureSequence length/μm
    2.5-5.57.5-14.5
    注: $\lambda $为波长, ${L_m}$为测量亮度, ${L_{bb}}$为理论亮度。
    Training input setTwo${{\lambda } }$7501750
    ${L_m}$
    Training output setOne${L_{bb}}$
    Table 1. Raw training set data
    Standard emissivityResults of missivity solution/μm Emissivity solution error/μm
    3-58-143-58-14
    0.80.80150.80350.187%0.437%
    0.50.49960.50090.080%0.180%
    0.20.20020.20070.100%0.350%
    Table 2. Results of standard emissivity training input set
    ${\theta _r}$15°25°35°45°55°65°75°
    $ {A_r} $/cm212311610590735433
    Table 3. Projection area of reflection area
    Li Fu, Jinhao Fan, Zhaoyi Zhang, Lei Zhang. Wall emissivity solved by bidirectional reflection distribution function combined with Bi-LSTM network[J]. Infrared and Laser Engineering, 2023, 52(2): 20220355
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