Infrared and Laser Engineering, Volume. 52, Issue 10, 20230108(2023)

Bidirectional reflectance distribution function model of rough surface based on backscatter intensity of hyperspectral LiDAR

Wenxin Tian1,2, Yuwei Chen3,4, Lingli Tang1, Ziyang Li1, Shi Qiu1, Haohao Wu1, Huijing Zhang1,2, Linsheng Chen1, Changhui Jiang3, Peilun Hu3,5, Jianxin Jia3, Haibin Sun3, Yicheng Wang4, and Yihua Hu4
Author Affiliations
  • 1Key Laboratory of Quantitative Remote Sensing Information Technology, Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100094, China
  • 2School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing 100049, China
  • 3Finnish Geospatial Research Institute, Masala FI-02430, Finland
  • 4Advanced Laser Technology Laboratory of Anhui Province, Hefei 230037, China
  • 5University of Helsinki, Helsinki 00014, Finland
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    Figures & Tables(15)
    (a) The larger the variance of the normal direction of the micro surface, the rougher the macro surface; (b) The smaller the variance of the normal direction of the micro surface, the smoother the macro surface
    Schematic diagram of Oren-Nayar model
    Hyperspectral LiDAR system. (a) Composition diagram of hyperspectral LiDAR system; (b) Principle prototype of hyperspectral LiDAR
    Experimental sample. (a) White paper; (b) Floor tiles; (c) Concrete; (d) Gypsum; (e) Orthoclase; (f) Silica; (g) Granite; (h) Griotte
    Schematic diagram of distance effect experiment
    Incident angle effect of backscatter intensity of hyperspectral LiDAR at different wavelengths. (a) White paper; (b) Floor tiles; (c) Concrete; (d) Gypsum; (e) Orthoclase; (f) Silica; (g) Granite; (h) Griotte
    Scatter plot and Lambertian model fitting curve of backscatter intensity (650 nm). (a) Floor tiles; (b) Concrete
    Distance effect of backscatter intensity of 100% diffuse reflective whiteboard at different wavelengths. (a) The curve of the backscatter intensity varying with R; (b) Curve of backscatter intensity varying with \begin{document}$ 1/{R}^{2} $\end{document}
    Distance effect of backscatter intensity of 70% diffuse reflective whiteboard at different wavelengths. (a) The curve of the backscatter intensity varying with R; (b) Curve of backscatter intensity varying with \begin{document}$ 1/{R}^{2} $\end{document}
    Calculation results of \begin{document}$ {\sigma }\left({\lambda }\right) $\end{document} of different samples of Oren-Nayar model
    Backscatter intensity of different wavelengths after correction of Oren-Nayar model. (a) White paper; (b) Floor tiles; (c) Concrete; (d) Gypsum; (e) Orthoclase; (f) Silica; (g) Granite; (h) Griotte
    Reflectance comparison of different incident angles before and after correction of concrete. (a) Before correction; (b) After correction of Lambert model; (c) After correction of Oren-Nayar model
    Standard deviation of reflectance at different incident angles. (a) White paper; (b) Floor tiles; (c) Concrete; (d) Gypsum; (e) Orthoclase; (f) Silica; (g) Granite; (h) Griotte
    • Table 1. σmean calculation results of different samples of Oren-Nayar model

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      Table 1. σmean calculation results of different samples of Oren-Nayar model

      No.Target${\mathrm{\sigma } }_{mean}$/(°)
      1White paper0.008
      2Floor tiles13.93
      3Concrete15.67
      4Gypsum11.31
      5Orthoclase7.56
      6Silica5.30
      7Granite12.81
      8Griotte5.71
    • Table 2. Average value of standard deviation of reflectance at different incident angles

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      Table 2. Average value of standard deviation of reflectance at different incident angles

      No.TargetBefore correctionCorrection of Lambertian modelCorrection of Oren-Nayar model
      1White paper0.2600.0600.060
      2Floor tiles0.0410.0610.016
      3Concrete0.0550.1430.040
      4Gypsum0.0960.0560.024
      5Orthoclase0.1110.0580.029
      6Silica0.1260.0370.024
      7Granite0.0640.0700.016
      8Griotte0.1440.0600.039
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    Wenxin Tian, Yuwei Chen, Lingli Tang, Ziyang Li, Shi Qiu, Haohao Wu, Huijing Zhang, Linsheng Chen, Changhui Jiang, Peilun Hu, Jianxin Jia, Haibin Sun, Yicheng Wang, Yihua Hu. Bidirectional reflectance distribution function model of rough surface based on backscatter intensity of hyperspectral LiDAR[J]. Infrared and Laser Engineering, 2023, 52(10): 20230108

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    Paper Information

    Category: Lasers & Laser optics

    Received: Mar. 1, 2023

    Accepted: --

    Published Online: Nov. 21, 2023

    The Author Email:

    DOI:10.3788/IRLA20230108

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