Different from the principal component analysis (PCA), non-negative matrix factorization (NMF) can provide more direct interpretation owning to the non-subtractive combinations of non-negative basis vectors, and many practical problems also require non-negative basis vectors rather than the orthogonal vectors with alternating positive and negative. In this study, we develop a hyperspectral surface reflectance reconstruction method based on NMF and multispectral results in several wavelength bands. In order to test our spectral reconstruction method, the spectral datasets of typical surface types are extracted from the spectral library of John Hopkins University (JHU), which include the soil, vegetation, manmade materials, sedimentary fine and coarse rock. The prior surface reflectance or emissivity results are selected from only four wavelength bands (2.13, 3.75, 3.96, 4.05 μm) from shortwave infrared to Mid-infrared, which can be easily obtained from the surface product of Moderate-resolution Imaging Spectroradiometer (MODIS). Based on the JHU spectral dataset and NMF, the hyperspectral surface reflectance in the spectral range of 2-5μm with the step of 25 nm can be reconstructed consistently. In addition, the hyperspectral reconstruction effects by NMF are quantitatively investigated, in which the root mean square error and the mean absolute error is about 0.016 and 0.01, respectively.
The bidirectional reflectance distribution function (BRDF) is a physical quantity that represents the change of surface reflection with the Sun and the direction of observation, which is of great significance to the study of surface anisotropic reflection characteristics. In this paper, based on MODIS (Moderate Resolution Imaging Spectroradiometer) BRDF model parameters products (MCD43A1), we utilize the Ross-Li model to simulate the surface reflectance of the four land surface types in North China: vegetation, bare soil, cropland, and urban, and comparatively analyze the seasonal variation of their surface anisotropic reflection characteristics. Therefore, this study can provide reliable scientific basis for improving land surface process model, promoting surface-atmosphere interaction and global climate change research. The results show that: (1) The backscattering of the four land surface types is greater than the forward scattering, and the larger the scattering angle is, the larger the bidirectional reflectance will be. The distribution trend of bidirectional reflectance of different surface types is quite different in different bands and seasons. (2) The bidirectional reflectance of the four land surface types varies with the wavelength roughly the same in spring, summer, and autumn. In winter, due to snow covering the ground, the bidirectional reflectance of vegetation, cropland, and urban is higher in visible and near-infrared bands. Due to the fixed simulation angle, the distribution trend of the bidirectional reflectance of bare soil in four seasons is multipeak in the multi-band range.
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