摘要
将三维直角坐标转换归结为多元线性回归模型,导出其矩阵方程形式及精度评定公式;通过实例研究多元线性回归和7参数解法的异同,得出重要结论;提出一种构造τ统计量逐点剔除观测值粗差的有效方法。
It provides the multiple linear regression model for a solution to the 3D coordinates transformation, developing a matrix equation and a set of formulas for precision evaluation. It draws a great important conclusion through the similarities and udifferences between the multiple linear regression model and the 7-paramater model supported by some cases. Furthermore, it explores an effective way of constructing τ statistics to eliminate gross errors from the surveying data.
出处
《测绘工程》
CSCD
2007年第2期16-21,26,共7页
Engineering of Surveying and Mapping
关键词
三维转换
多元线性回归分析
粗差探测
3D coordinates transformation
multiple linear regression analysis
gross errors detection