系数加权法在多区域坐标转换中的应用

Application of Weighted Coefficient in Coordinate Transformation of Multi-zone

针对同一坐标系下多区域内重合点坐标转换结果不统一,限制测量成果综合利用问题,根据反距离权重法原理,提出一种多区域的平面坐标转换方法,并采用实际坐标数据进行验证计算。首先给出了进行坐标转换的计算模型,通过分析探究了坐标分布与其转换精度的特殊关系,引入了移动窗口提取区域内坐标,并对重合点的坐标转换参数进行插值计算,最后利用实际数据验证了算法的有效性和可靠性。结果表明:对比直接进行坐标转换的传统算法,引入移动窗口的分区系数加权转换法提高了坐标转换计算的精度,减小了冗余数据对坐标转换结果的影响,保证了多区域中重合点坐标转换结果的唯一性,坐标转换结果在X方向、Y方向的位置误差分别减小了30.45%和20.52%。

The coincidence points in the multizone under the same coordinate system have different coordinate transformation result,that limit the comprehensive use of survey results.Based on inverse distance weight method,a coordinate transformation method of multizone was proposed and applied into the calculation of actual coordinate data.First it is given for coordinate transformation calculation model.Then moving window was used to extract the zone coordinates through the analysis and exploration the special relationship between the coordinate’s distribution and transformation accuracy.What follows is interpolation of coordinate transformation parameters of coincidence points.Finally,the validity and reliability of the algorithm are verified by the actual data.The results showed that compared with the traditional algorithm for direct coordinate transformation,the partition transformation method with coefficient weighted introducing a moving window can improve the calculation accuracy of coordinate transformation,reduce the effect of redundant data on coordinate transformation,and ensure the uniqueness of the ruselt from coincidence points’coordinate transformation in multizone.The position error in the X direction and Y direction of coordinate transformation results is reduced by30.45%and20.52%respectively.