整体最小二乘求取坐标转换参数  

SOLVING COORDINATE TRANSFORMATION PARAMETERS BASED ON TOTAL LEAST-SQUARES REGRESSION

作　　者：孔建[1] 姚宜斌[1] 许双安[1] 

机构地区：[1]武汉大学测绘学院,武汉430079

出　　处：《大地测量与地球动力学》2010年第3期74-78,共5页Journal of Geodesy and Geodynamics

基　　金：国家863计划项目(2006AA12Z323);国家自然科学基金(40774008);国家973计划项目(2006CB701301)

摘　　要：基于整体最小二乘方法推导求取坐标转换参数的公式,使用参数变换方法求解参数估计公式的非线性问题,避免了常规的矩阵分解方法计算的复杂性。另外,为了适应不同地区使用不同的转换模型,还推导了仿射变换模型的参数估计公式。On the basis of the mathematical meaning of the overall least-squares,through transformating conditional extremum to direct extremum,the formulas of solving transformation parameters by overall least-squares regression are derived and the nonlinear problem in parameters estimation is solved with the parameter transformation method to avoid the issue of linearization.The feasibility of this new algorithm is verified by measurement data and the problem of theory defect in traditional method was solved.Futher more in order to meet the different conversion models used in different regions,the parameter estimation formula for affine transformation mode is derived.

关 键 词：整体最小二乘 坐标转换 仿射变换 非线性方程求解 相似变换 

分 类 号：P226.3[天文地球—大地测量学与测量工程]