Abstract: This paper is an academic thesis about remote sensing information model and geographical mathematics. The author have studied a lot of remote sensing information models and geographical image information models. According to geographical regularity the author advance non-linear mathematics method which is geographical complex phenomena both of certainty and uncertainty to combine in an equation. That is from formal logic inferring to dialectical logic calculation. Moreover, it is from abstract thinking to both of abstract and visualized thinking, which is image joining equation calculated. Make a suggestion that the geographical parameters are different from the physics variables. Thus initiate based on geographical science for mathematics. There are 4 parts as follows in this paper: (1) the regularity of geographical phenomena; (2) general equation of remote sensing information model; (3) geographical parameters and geographical indexes; (4) significance of geographical image information models.

Key words: remote sensing information model, geographical image information model, geographical mathematics, dialectical logic calculate

摘要： 从大量的遥感信息模型，地理图像信息模型的实践中，提出符合地理科学自身规律的非线性数学方法，解决了确定性与不确定性结合的宏观复杂性问题。从形式逻辑推理发展到辩证逻辑的计算，从抽象公式的计算发展到抽象思维与形象思维结合的、公式与图像结合的计算。提出了物理变量与地理参数的区别，从而开创了以地理科学为背景的数学研究，进而为发展地理数学奠定了基础。

关键词: 遥感信息模型, 地理图像信息模型, 地理数学, 辩证逻辑计算