Abstract

The Bidirectional Reflectance Distribution Function (BRDF) is usually used to describe the reflectance anisotropy of a non-Lambertian surface and estimate surface parameters. Among the BRDF models, the kernel-driven models have been extensively used due to their simple form and powerful fitting ability, and their reliability has been validated in some studies. However, existing validation efforts used in situ measurements or limited satellite data, which may be subject to inadequate observational conditions or quality uncertainties. A recently released high-quality BRDF database from Polarization and Directionality of the Earth’s Reflectances (POLDER) provides an opportunity to revisit the performance of the kernel-driven models. Therefore, in order to evaluate the fitting ability of the kernel-driven models under different observational conditions and explore their application direction in the future, we use the filtered high-quality BRDF database to evaluate the fitting ability of the kernel-driven model represented by the RossThick-LiSparseR (RTLSR) kernels in this paper. The results show that the RTLSR model performs well, which shows small fitting residuals under most observational conditions. However, the applicability of the RTLSR model performed differently across land cover types; the RTLSR model exhibited larger fitting residuals, especially over non-vegetated surfaces. Under different sun-sensor geometries, the fitting residuals show a strong positive correlation with the Solar Zenith Angle. The above two factors cause the RTLSR model to exhibit a poorer fitting ability at high latitudes. As an exploration, we designed a model combination strategy that combines the advantages of different models and achieved a better performance at high latitudes. We believe that this study provides a better understanding of the RTLSR model.

Highlights

  • The Bidirectional Reflectance Distribution Function (BRDF) is defined as the ratio of the radiance in the direction of the exit beam to the irradiance caused by the entrance beam [1].In remote sensing, BRDF commonly represents the distribution of bidirectional reflectance to quantify surface reflectance anisotropy [2]

  • We explored the influence of sun-sensor geometries on the fitting ability of the latitude and time, which means that the RTLSR model should have different applicability

  • This study comprehensively compared the applicability of the kernel-driven model represented by the RTLSR kernels to revisit its performance under different observational conditions using the filtered high-quality Polarization and Directionality of the Earth’s Reflectances (POLDER) BRDF database

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Summary

Introduction

BRDF commonly represents the distribution of bidirectional reflectance to quantify surface reflectance anisotropy [2]. Semi-empirical, and physical methods have been developed for BRDF modeling. The semi-empirical linear kernel-driven models introduced by Roujean et al [8] have been widely used. Wanner et al [9] and Lucht et al [6] subsequently improved the kernel-driven model to make it easier to understand and apply as the Algorithm for Model Bidirectional Reflectance Anisotropies of the Land Surface (AMBRALS) [10]. The kernel-driven models were adopted as the operational algorithms for generating land surface albedo products by many spaceborne sensors, including the Moderate Resolution Imaging Spectroradiometer (MODIS) and Polarization and Directionality of the Earth’s Reflectances (POLDER) [6,11–16]. Scholars developed many kernels to describe the radiative transfer process of different scenes, such as the well-known Ross kernels and

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