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.

Highlights

  • Bidirectional Reflectance Distribution Function (BRDF) has been widely used in the fields of agricultural remote sensing, atmospheric radiation transmission, spectral scattering characteristics of rough surface targets, and material diagnosis [1,2,3]

  • The use of BRDF to measure and model the surface appearance of reflective objects is a new method for entire appearance description, which has a very good development prospect [6]

  • The model characterizes the contribution of surface scattering by introducing a mirror coefficient to improve the traditional polarization-based BRDF model, which includes five parameters and make the new polarization BRDF model consistent with the actual scattering polarization characteristics of the coating surface

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Summary

Introduction

Bidirectional Reflectance Distribution Function (BRDF) has been widely used in the fields of agricultural remote sensing, atmospheric radiation transmission, spectral scattering characteristics of rough surface targets, and material diagnosis [1,2,3]. The model characterizes the contribution of surface scattering by introducing a mirror coefficient to improve the traditional polarization-based BRDF model, which includes five parameters (real and imaginary parts of the complex refractive index, surface roughness, relative diffuse reflectivity coefficients, and mirror) and make the new polarization BRDF model consistent with the actual scattering polarization characteristics of the coating surface. These models are only for the specific practical application scenarios to innovate and optimize. A sevenparameter BRDF model with double-peak characteristic was proposed and used to fit BRDF data with double peaks

BRDF Seven-Parameter Statistical Model
Seven-Parameter BRDF Model Validation
Conclusion
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