Multiple-Component Polarized Bidirectional Reflectance Distribution Function Model for Painted Surfaces Based on Kubelka-Munk Theory

Min Yang; Yonghua Fang; Jun Wu; Fangxiao Cui; Dacheng Li; Yue Wu; Tao Wang

doi:10.3788/AOS201838.0126002

Acta Optica Sinica, Volume. 38, Issue 1, 0126002(2018)

Multiple-Component Polarized Bidirectional Reflectance Distribution Function Model for Painted Surfaces Based on Kubelka-Munk Theory

Min Yang^1,2, Yonghua Fang^1,2、*, Jun Wu², Fangxiao Cui², Dacheng Li², Yue Wu², and Tao Wang²

Author Affiliations

¹ School of Environment Science and Optoelectronic Technology, University of Science and Technology of China, Hefei, Anhui 230026, China

² Key Laboratory of Optical Calibration and Characterization, Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei, Anhui 230031, China

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Figures & Tables(9)

Fig. 1. Geometrical relationship of BRDF

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Fig. 2. Image of polarized BRDF measurement

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Fig. 3. Flow chart of polarization calibration

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Fig. 4. Calibration results of spectropolarimeter

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Fig. 5. Schematic for measurement

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Fig. 6. Comparison between simulated and measured degree of linear polarization at different relative azimuth angles. (a) Green painted surface, Δ?=120°; (b) black painted surface, Δ?=120°; (c) green painted surface, Δ?=180°; (d) black painted surface, Δ?=180°

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Fig. 7. Comparison on simulated degree of linear polarization with and without mirror parameter ks. (a) Green painted surface, Δ?=120°; (b) black painted surface, Δ?=120°; (c) green painted surface, Δ?=180°; (d) black painted surface, Δ?=180°

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Table 1. Parameters inversion for black and green painted surfaces
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Table 1. Parameters inversion for black and green painted surfaces
Sample n k σ k_s $\begin{matrix} R_{\infty} \end{matrix}$ Error /%
Green painted surface 1.335 0.201 0.211 1.259 0.451 3.56
Black painted surface 1.101 1.131 0.130 16.148 0.044 5.44

Table 2. Root-mean-square error of two degree of linear polarization for different painted surfaces
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Table 2. Root-mean-square error of two degree of linear polarization for different painted surfaces
Sample Azimuth angle /(°) x_RMSE1 x_RMSE2 Decreased rate /%
Green painted surface 120 0.0094 0.0123 23.58
180 0.0638 0.0671 4.92
Black painted surface 120 0.0364 0.1227 70.30
180 0.0788 0.0816 3.43

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Min Yang, Yonghua Fang, Jun Wu, Fangxiao Cui, Dacheng Li, Yue Wu, Tao Wang. Multiple-Component Polarized Bidirectional Reflectance Distribution Function Model for Painted Surfaces Based on Kubelka-Munk Theory[J]. Acta Optica Sinica, 2018, 38(1): 0126002

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