This paper develops a system for projecting coordinates from a geocentric coordinate system to a topocentric coordinate system defined by terrestrial measurements. The proposed system uses an extension of the Stereographic Double Map Projection and a parametric least squares estimation to calculate the parameters for the map projection. The Extended Stereographic Double Projection and the projection parameter estimation are implemented and tested. Tests are performed to determine rate that discrepancies occur and the maximum extents of the Extended Stereographic Double Projection. This maximum area is determined to be ∼10 km² with RMS values of residuals of 0.0029 m in northing and 0.0020 m in easting. Tests are also performed to determine the factor that limits the effective area of the Projection.

本文开发了一种将坐标从地心坐标系投影到由地面测量定义的地形中心坐标系的系统。所提出的系统使用立体双地图投影的扩展和参数最小二乘估计来计算地图投影的参数。实现并测试了扩展立体双投影和投影参数估计。执行测试以确定出现差异的速率以及扩展立体双投影的最大范围。确定最大面积约为10 km ²，北向为0.0029 m，东向为0.0020 m。还进行测试以确定限制投影有效面积的因素。