两种测地坐标系之间的坐标转换

Coordinate Transformation between Two Geodesic Coordinate Systems

从数学上论证以长度量为坐标参数的测地坐标系与大地坐标系能够成为表述 3维欧氏空间中点位的正则坐标系的条件及限定区域 ,然后着重阐述了测地坐标系与大地坐标系相互转换的基本原理和方法 ,并用算例验证了其正确性 ,从而为进一步实现测地坐标系应用于DEM和 3DGIS建模提供了可能 ,这就为最终解决在统一的真 3维坐标系统中建立DEM和

Another type of geodesic coordinate system with length quantity as coordinate parameter is present for the first time in our last paper .Expressed by length quantities u=s y,v=s x ,two curvilinear coordinates or parameters are defined in that paper, with which two coordinate curves are constituted on the earth ellipsoid and vertical each other.The formula for the scale factor of length of geodesic parallel lines is derived. It is shown that this scale factor depends on the length of geodesic parallel line from the point to the initial v coordinate curve. In order to indicate points on the earth ellipsoid ,this form of the geodesic coordinate system is superior in some aspects to the conventional geodesic coordinate system i.e. geodetic coordinate system. We demonstrate that those two types of geodesic coordinate system are regular coordinate systems with their limited regions, then we proposed the fundamental and method of coordinate transformation between two geodesic coordinate systems. Illustrations are given to show their validity. On this basis, it becomes possible that geodesic coordinate system is introduced into DEM and 3DGIS model.