椭球变换误差传播模型研究

Study on propagation model of ellipsoid conversion error

针对在一些行业性地理信息处理中,基于各种坐标系的数据混用现象普遍存在,而椭球变换误差常被忽略,造成椭球变换对数据产生的影响缺乏科学评价的问题,文章以观测误差传播定律为基本研究工具,推导出椭球变换误差在大地坐标转换误差、地图投影误差、平面距离计算误差中的传播模型,最后以椭球变换误差对空间插值影响为例,对以上模型进行实践应用,研究结果表明,论文推导出的椭球变换误差模型能够成为行业空间信息处理中的椭球变换误差影响评价模型。

Aiming at the problem that there is usually the data mixture from all kinds of coordinate systems in some industrial geographic information processing,while the ellipsoid transform error is liable to be neglected,leading to the lack of scientific evaluation on the influence of ellipsoid transform on the data,the paper derived the model of the ellipsoid error propagation in errors of geodetic coordinates conversion,map projection,horizontal distance calculation through using the law of error propagation as a research tool.Finally,by taking the impact of ellipsoid transform error on spatial interpolation as the example,the application result showed that the derived model could be used to evaluate the influence of ellipsoid transform error for spatial information processing.