Discussion on Plane Coordinate Transformation Basedon Barycentre Datum
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摘要: 基准统一与转换是测量工程中的重要问题,文中通过数值计算表明,为了克服坐标转换模型中参数之间的强相关问题,采用坐标重心化策略,得到的结果与四参数方法基本相同,重心化方法减小了参与计算的坐标数值,增强数值计算的可靠性,随着现代计算技术(计算设备)的广泛应用,两者的差异并不明显。各种坐标转换算法的可靠性依赖于公共点的精度与公共点的分布形式,在极坐标方法中尤其要避免边长悬殊的短边参与参数解算。Abstract: Datum unification and coordinates transformation are always one of the key problem in surveying engineering project. In this paper, the results show that the barycentric coordinates method adopted to overcome the strong correlation problem between the parameters in coordinates transformation model, are basically the same as the four- parameter method. This method simplifies the calculation and enhances the reliability of numerical calculations. Due to the extensive application of modern computing devices, the difference between the two methods is not obvious. The reliability of various coordinate transformation algorithms depends heavily on the accuracy and the distribution of known points. In polar coordinates method, it is extremely significant to avoid short sides, which is remarkable difference with others, participation in parameter solution.
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