几种抗差算法在坐标转换中应用的对比研究

Comparative research on several differential robust algorithms in coordinate system conversion

布尔莎七参数坐标转换模型是利用同时具有两套坐标系下坐标的公共点,求取7个未知转换参数,从而实现空间坐标之间的相互转换。若现有公共点坐标有误差存在,转换精度就会受到影响,甚至可能导致转换失败。文中探讨比较Baarda数据探测法、抗差最小二乘法及拟准检定法在公共点坐标存在粗差情况下坐标转换的情况,通过具体的转换算例得出对比结论,为坐标转换在工程中的应用提供一定的参考价值。

Bursa - Wolf coordinate transformation model was to utilize the common points with coordinates of two sets of coordinates at the same time obtaining seven unknown conversion parameters to realize the mutual conversion be- tween spatial coordinates. The accuracy of the common point coordinates could directly affect the accuracy of the transformation parameters, and even fail. In the paper, coordinate transformations of the baarda data snooping, ro- bust estimation and the QUAD were compared in case of gross error in common point coordinates. Comparison con- clusions were obtained by the concrete conversion example providing some reference value for the application of the coordinate transformation in engineering.