最小二乘平差

吉文斯变换及其在序贯最小二乘平差中的应用

Givens Transformations and Its Application to Sequential Least-squares Adjustment

最小二乘平差理论在制图自动综合中的应用

Application of the Least Squares Adjustment in Automated Cartographic Generalization

最后讨论了如何把不等式限制条件下的最小二乘平差的贝叶斯解法应用于GPS定位的有关问题。

At last the Bayesian algorithm of LSI is applied to GPS positioning .

从非线性优化角度对GPS单点定位问题进行了分析，建立了GPS单历元单点定位的遗传算法数学模型，并与常规线性化最小二乘平差的定位结果进行了比较。

The problem of GPS single-point positioning in view point of nonlinear least square and the superiority of GA in solving GPS nonlinear optimization problems are analyzed .

该算法利用非线性最小二乘平差原理对CCD地球敏感器成像进行处理，实现了在月球表面CCD地球敏感器的矢量观测功能。结合加速度计的测角原理，实现了航向角确定。

Non-linear least squares bundle adjustment is used to process the images from CCD earth sensor , consequently , the vector observation function of CCD earth sensor is achieved on lunar environment .

基于同伦法的非线性最小二乘平差统一模型

Uniform Model of Nonlinear Least Squares Adjustment Based on Homotopy Method

最小二乘平差在纸海图矢量化过程中的应用

Application of Least Square Algorithm in Process of Digitizing Nautical Chart

不等式约束最小二乘平差及在卡尔曼滤波中的应用

Inequality Constrained Least Square Adjustment and Its Application in Kalman Filtering

海洋重磁资料的最小二乘平差处理方法

Least Square Adjustment Method for Processing Marine Gravity and Geomagnetic Data

非线性动态最小二乘平差参数的方差&协方差传播及其计算

Variance-covariance propagation and calculation of the nonlinear least square adjustment parameters

遗传算法在非线性最小二乘平差中的应用

Application of genetic algorithms in nonlinear least squares estimation

部分最小二乘平差方法及在粗差定值与定位中的应用

Method of partly least squares and application in gross error location and estimation

基于Ⅰ&范解的加权最小二乘平差

The Weighted Least Squares Adjustment Based on L_1-Norm Solution

基于改进同伦算法的非线性最小二乘平差

Nonlinear Least Squares Adjustment Based on Improved Homotopy Algorithm

最小二乘平差的非线性解法及其几何意义

The Nonlinear Solving Method for the Least Squares Adjustment and Its Geometrical Explanation

任意平面网坐标自动解算的非线性最小二乘平差算法

Algorithm of nonlinear least squares adjustment of any plane networks with coordinates computed automatically

然后提出了不等式限制条件下的最小二乘平差的基于一致先验信息的贝叶斯解法。

Then based on uniform prior distribution , Bayesian solution of LSI is proposed .

最小二乘平差中的几个问题&关于改正数的不变性及精度和可靠指标一致性的探讨

Several Questions of the Least Square Adjustment

基于最小二乘平差理论的空间目标自动综合算法和应用研究

The Study of Auto Generalization Algorithm and Application for Spatial Objects Based on Least Squares Adjustment

其结果表明，按最小二乘平差求转换参数时，必须使用相关权阵。

The result demonstrates that the correlated weight matrix must be applied to solving transformation parameters according to least square adjustment .

通过估计基线向量得到姿态粗解，以粗解为初值进行迭代最小二乘平差，最后得到最终的姿态解。

Vector of baseline is estimated to get coarse attitude , ultimately , the precise attitude is estimated by iterative least square adjustment .

还提出了两种初始化的方案：多项式拟合法和最小二乘平差法。

Two initialization strategies are suggested to select normal epochs in the beginning , one by polynomial fitting , and the other by least-square adjustment .

为了寻求一种更有效的非线性最小二乘平差算法，根据同伦思想提出了一种改进的同伦算法。

Based on the homotopy idea , an improved homotopy algorithm was proposed in order to search a more efficient algorithm for nonlinear least squares adjustment .

对于非线性最小二乘平差参数的方差协方差传播的研究，必须与非线性最小二乘平差的研究同步。

The research of variance covariance propagation of nonlinear least squares adjusted parameters must keep in step with the development of nonlinear least squares adjustment in this area .

该文针对不同类型观测值的非线性最小二乘平差，介绍一种将问题分离后再解算的基于变尺度法的解析方法。

The paper gives a calculation method of nonlinear least square adjustment for different types of observation value , which reduces the dimensions of a big equation based on BFGS method .

应用非线性最小二乘平差方法阻尼最小二乘法研究了数字化数据误差处理，并将该方法与最小二乘条件平差进行了比较。

This paper presents a study on error processing of map digitized data with nonlinear least squares adjustment which is called damped least squares . This method is compared with least square adjustment .

利用分块矩阵及矩阵求解约化知识推导了测量平差中单位权方差的估值公式，并由推导结果分析了经典最小二乘平差方法的局限性。

In this paper , the unit weight variance formula has been deduced and what the theory the author has used to deduces the formula is the block matrix and matrix reducing knowledge .

结果显示不等式限制条件下的最小二乘平差的传统解实际上是基于后验分布模式下的贝叶斯解，而且从方差最小的意义上来讲它不是最优解。

The results show that traditional solution of LSI is actually a Bayes solution based on the mode of the posterior distribution and that it is not the best solution in the sense of variance minimizing .

根据最小二乘平差理论，通过对城市居民地综合过程的分析研究，给出了应用最小二乘平差理论进行综合的约束条件和算法过程，建立了城市居民地合并综合算法，应用实例表明算法是有效的。

This paper brings forward a set of algorithm and constrained conditions of generalization on the least squares adjustment , based on analyzing and studying the generalization process of urban residential area , the example shows the validity of the algorithm .

正弦曲线的拟合一般都采用最小二乘平差计算，相位是平差计算时的一个未知数，所以，从协因数阵中可以得到相位的协因数，协因数乘以单位权方差就是相位的中误差。

Sine curve fitting using least square adjustment is generally calculated , phase is unknown in an adjustment calculation , so , factor from the HS phase array can be co-factor , Association factor multiplied by the unit weight variance is Phase error .