误差椭圆元素与协方差系数的转换

THE TRANSFORMATION FROM ERROR ELLIPSE ELEMENTS TO COVARIANCE ELEMENTS

在变形分析中需要对两期的差值统计检验 ,用以确定差值的变化是否显著 ,这就要用到两期的协方差阵中相关的元素。但在实际数据处理中 ,常常并不保存协方差系数 ,而保存误差椭圆元素。本文就其数学关系进行了推导。

In deformation analysis,whether the deformation is significant should be made sure by statistic test using the elements in covariance matrix of two observations. Practically, not the elements of covariance matrix but the elements of error ellipse is stored in output file. It's necessary to deduce the transformation relation from error ellipse elements to covariance elements.