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利用能量热平衡方程，将自然地表红外辐射统计特性及热图像空间结构与地表光学参数、热物性参数以及环境条件联系起来，描述了地表辐射温度统计函数和热图像自相关函数的变化规律．研究表明，地表辐射温度统计分布是地表特性参数的复杂函数，而地表热图像空间自相关函数，则是地表物性参数空间自相关函数的加权迭加；由于地表辐射温度统计函数和热图像自相关函数受环境条件和外部热源的影响，它们又都是时间的函数．
Using the energy balance equation, the statistic characteristics of natural infrared radiation and the thermal image spatial structure are related to the surface optical parameters, thermal physical parameters and environmental conditions, and the variations of the statistical functions of surface radiation temperature and the autocorrelation function of thermal images are described. The results show that the statistical distribution of surface radiation temperature is a complex function of surface characteristic parameters, while the autocorrelation function of surface thermal image space is the weighted superposition of spatial autocorrelation function of surface property parameters. Because of the statistical function of surface radiation temperature and thermal image autocorrelation Functions are affected by environmental conditions and external heat sources, both of which are functions of time.