顾及框架点坐标误差的三维基准转换严密模型

发布时间：2018-09-19 16:16

【摘要】：框架点坐标是由观测数据通过平差得到的,不可避免地受到观测误差的影响。针对原框架和目标框架坐标均存在误差、非公共点与公共点间存在相关性,以及转换系数矩阵中仅部分元素存在误差的实际情况,提出了同时考虑框架内误差以及转换点间相关性的基准转换严密模型,该模型将公共点和非公共点联合处理,同时计算坐标转换参数和所有点的坐标转换值,推导出了新的严格坐标转换公式,该公式为传统坐标转换公式基础上增加一改正量的形式;进一步,推导了原框架和目标框架坐标的方差不一致情况下的坐标转换模型的自适应解法;最后,利用"陆态网络工程"2000个区域站的实测坐标进行坐标转换验证,结果表明,这种严密模型较传统坐标转换模型具有更高的坐标转换精度。
[Abstract]:The coordinates of frame points are obtained by the adjustment of the observation data, and are inevitably affected by the observation errors. In view of the errors in the coordinates of the original frame and the target frame, the correlation between the non-common points and the common points, and the fact that only some elements in the transformation coefficient matrix have errors, In this paper, a rigorous model of datum transformation is proposed, which considers both the errors in the frame and the correlation between the transition points. The model combines common points with non-common points, and calculates the coordinate conversion parameters and the coordinate conversion values of all points at the same time. A new strict coordinate transformation formula is derived, which adds a correction form to the traditional coordinate conversion formula. In this paper, the adaptive solution of coordinate transformation model for original frame and target frame is derived under the condition of inconsistency of variance. Finally, the coordinate transformation is verified by using the measured coordinates of 2000 regional stations in "Land Network Engineering", and the results show that, This strict model has higher coordinate conversion accuracy than the traditional coordinate transformation model.
【作者单位】：地理信息工程国家重点实验室;信息工程大学地理空间信息学院;
【基金】：国家重点研发计划(2016YFB0501701) 国家863计划(2013AA122501) 国家自然科学基金(41474015;41604013;41574003;41374019;41374003;41274040)~~
【分类号】：P226.3

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