平面坐标转换物理意义解释和转换参数直接计算

Physical Significance Interpretation of Plane Coordinate Conversion and Direct Calculation of Conversion Parameter

共同的地理对象,在不同平面坐标系统中坐标不同,但可以相互转换。大量文献从几何意义上出发,推导了各种平面坐标的转换模型。从地理对象描述角度出发,对平面坐标转换进行了物理意义和几何意义的解释,并得到概括的数学模型,建立2类转换方法的参数计算公式。介绍了2类转换在测绘中的应用,通过实际算例,证明它们的正确性。

The same geological objective may have different coordinates in different coordinate systems, which can be mutually conversed. Various models for plane coordinates conversion are deduced starting from their geometrical significance in large number of literatures. Starting from the view point of the characterization of geological objectives, interpretation is made of the plane coordinate conversion from both its physical and geometrical significance. General mathematical model is obtained and the parameter calculation tbrmulas for two types of conversion are established. The application of the two conversions in mapping are described, whose correctness is proved by some real calculation cases.