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A Seven-Parameter BRDF Model with Double-Peak Characteristic Suitable for Sandy Soil

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  • Yu-Feng Yang
  • Wen-Shuai Li
  • Han-Zhi Zhang

Abstract

A seven-parameter BRDF model with double-peak characteristic was proposed in this paper, which can fit double-peak data. The global genetic algorithm was used to model the BRDF experimental data of sandy soil, and the parameter values and relative mean square error of the seven-parameter BRDF model were obtained. The results proved the correctness of the model, and the relative mean square errors of this model are, respectively, 0.30%, 0.22%, 0.26%, and 0.25% corresponding to the incident angles of 15°, 30°, 45°, and 60°. Additionally, we also combined data from four incident angles to derive seven parameters, which do not depend on incident angle, and the overall error is 1.79%. Finally, in order to intuitively show the BRDF of sandy soil, 3D BRDF graph of sandy soil with different incident angles is, respectively, given. It will be of great significance in practical project applications.

Suggested Citation

  • Yu-Feng Yang & Wen-Shuai Li & Han-Zhi Zhang, 2018. "A Seven-Parameter BRDF Model with Double-Peak Characteristic Suitable for Sandy Soil," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-8, October.
    • Handle: RePEc:hin:jnlmpe:9398608
    DOI: 10.1155/2018/9398608
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