摘要
将顾及观测向量与系数矩阵权比的总体最小二乘法应用于三维坐标转换,阐述了验前单位权方差法和目标函数最小化法确定观测向量与系数矩阵标度的计算步骤,结合算例探讨了两种方法的适用特点,得出了有益的结论。
The total least squares method which takes the observation vector and the coefficient matrix weight ratio into count is applied to 3D coordinate transformation. The calculation steps of the prior unit weight variance method and the minimum objective function method for determining the scaling factor of observation vector and coefficient matrix was proposed. The characteristics and practical range of two methods were summarized in the example and some useful conclusions were drawn.
出处
《测绘与空间地理信息》
2015年第10期45-47,共3页
Geomatics & Spatial Information Technology
基金
国家自然科学基金项目(41274009)资助
关键词
标度总体最小二乘
权比
三维坐标转换
平差
scaled total least squares
weight ratio
coordinate transformation
adjustment
