The applicability and limitation of TLS in surveying data process are proposed based on comparisons and analyses between the ordinary least squares and the total least squares.
在参数求解中,针对参数估计模型的观测向量和系数矩阵都可能存在误差情况,20世纪80年代提出了整体最小二乘方法。
In order to solve the problem of together considering any errors in variables,algorithm based on total least squares is presented.
主要讨论了最常用的一元线性回归问题,分析了同时顾及自变量和因变量误差回归解算的相关问题,对采用同时考虑自变量和因变量误差的条件平差解算法,通过分析得出其解算出回归参数的估值与不考虑自变量误差情况下回归参数的估值一致,同时给出了同时考虑自变量和因变量误差的整体最小二乘解法,通过算例分析得出了整体最小二乘法解算的有效性。
This paper analyzes the statistical characteristics of camera imaging error based on studying total least squares,and clarifies the error effect on estimating fundamental matrix.
在研究整体最小二乘法的基础上,分析摄像机成像误差的统计特征,明确误差对基础矩阵估计算法的影响。
Perturbation Analysis and Condition Numbers of Scaled Total Least Squares Problems and Symmetric Algebraic Riccati Equations
标度整体最小二乘问题及对称代数Riccati方程的扰动分析及条件数
SPHERE TARGET FIXING OF POINT CLOUD DATA BASED ON TLS
基于整体最小二乘的地面激光扫描标靶球定位方法
least squares collocation
最小二乘配置法,最小二乘拟合推估法
REGULARIZED TOTAL LEAST-SQUARES SOLUTION TO ILL-POSED ERROR-IN-VARIABLE MODEL
病态总体最小二乘模型的正则化算法
Constrictive total least square improved algorithm in MIMO radars
MIMO雷达约束总体最小二乘改进算法
Weighted Adjust LS Estimation in EV Model with Missing Data
缺失数据下EV模型的调整最小二乘估计
truncated 2 SLS
截断二段最小二乘法
least-square best fit
最小二乘方最佳拟合
Total Least-Squares Solution for Inverse Problems of Real Matrices and Its Optimal Approximation
实矩阵反问题的总体最小二乘解及其最佳逼近
weighted least square criterion
加权最小二乘方准则
standard damped least-squares method
标准阻尼最小二乘方法
generalized least squares estimator
广义最小二乘估计量
Least-Squares Mixed Finite Element of Steady State Viscoelastic Fluid Flow;
定常粘弹性流体的最小二乘混合有限元
A Statistical Method for Group Decision Making Based on Unified Theory of Least Squares;
基于最小二乘统一理论的统计性群体决策方法
Calculating parameters of 3D coordinates transformation based on the method of Total Least Squares
基于总体最小二乘法的三维坐标转换参数解算
Matrix Volume Method of the Mean Square Deviation Computation of Least Square Solution
最小二乘估值均方差计算的矩阵体积法
Least square identification method of the misalignment angle of gyro case rotation axis
壳体翻滚失准角模型最小二乘辨识方法
Application of Least-square Support Vector Machine Method in Identifying Reservoir Fluids
最小二乘支持向量机在储层流体识别中的应用