赫尔默特

基于赫尔默特法港口坐标系统投影变形处理

Solution to Scale Error of Projection of Port Coordinate System Based on Helmert Method

赫尔默特方差分量估计及其近似公式在导线网平差中的应用

The Application of Helmert Variance Estimation and Its Approximate Formulas in Adjustment of Traverse Network

赫尔默特法在不同坐标系统转换中的应用

The Application of Method of Helmet in Different Coordinate System Transform

叙述了赫尔默特方差分量估计的基本思想和基本公式；

This paper narrates basic ideas and formula of Helmert Variance components estimation .

赫尔默特方差分量估计公式。

The Helmert variance component estimation formula .

一种迭代平差法用赫尔默特方差估计进行迭代平差的初始权问题

AN ADJUSTMENT METHOD OE SUCCESSIVE SUBSTITUTION The First Weights in the Repeating Adjustment by the Helmert Estimation of Variance

本文根据赫尔默特公式导出了后方交会点位的精度公式，并对它进行了分析。

According to Helmert 's formulae this paper inferred accuracy formulae of resection point , and analysed the accuracy formulae .

并对两类观测值，利用赫尔默特方差分量估计，通过多次迭代计算，提高平差精度。

With two types of observations , using Helmert variance component estimation , it can improve adjustment precision through multiple iterations .

利用综合考虑了先验信息和验后信息的赫尔默特方差分量估计方法确定权比例因子进行反演，可以得到较好的结果；

The inversion result is good by use of the relative weight ratio λ determined by Helmert variance estimation combining priori-posterior information .

在参数和起算数据的先验统计性质已知时，提出了基于滤波的顾及起算数据误差的赫尔默特估计法。

This paper brings forward Helmert estimating based on filtering considering error of original data , when knowing the statistical apriority of parameter and original data .

基于广义最小二乘法导出的滤波公式，根据赫尔默特方差估计的基本原理，推导出了用预测残差向量进行方差估计的新公式。

According to the filtering formula deduced by the generalized least squares method and the fundamental principle of Helmert variance estimation , a new variance estimation formula with forecast residual vector is deduced .

本文采用联合平差的方法，把各级网观测数据当作不同类型的观测值，通过平差随机模型的验后估计（如赫尔默特方差分量估计）统一定权、统一分配偶然误差和进行精度评定。

The method adopts combined adjustment , taking the observations from different level network as different type observations and unifying the weight and distribution of accidental error by adjustment random model , such as Helmert Variance components estimates .

针对缺少起算基准的近景摄影测量自由网平差，本文提出了将未知数视为观测值，并基于赫尔默特方差估计定权的自由网平差算法。

For the close-range photogrammetry adjustment of free-network that lacks of reference value , the adjustment of free-network algorithm is proposed , which takes unknown as observation and the reliability analysis is made on this algorithm based on Helmert-WF variance component estimation .