坐标转换参数之间的相关性解析  

ANALYSIS OF CORRELATION OF COORDINATE TRANSFORMATION PARAMETERS

作　　者：杜兰[1] 张捍卫[2] 周庆勇[1] 王若璞[1] 

机构地区：[1]解放军信息工程大学测绘学院,郑州450052 [2]河南理工大学测绘与国土信息工程学院,焦作454000

出　　处：《大地测量与地球动力学》2011年第1期59-62,共4页Journal of Geodesy and Geodynamics

基　　金：国家自然科学基金(40974019)

摘　　要：基于公共点点位信息可以反解两空间直角坐标系间的坐标转换参数。利用点位信息对平移、旋转和缩放参数的贡献特性进行分解:首先,利用坐标重心化分离平移参数;其次,对重心化后的点位分别独立解算尺度因子和旋转矩阵;进而对坐标转换参数之间的相关性进行理论分析。并研究了其他非点位信息在转换参数解算中的贡献和使用方法。Coordinate transformation parameters can be calculated from two sets of 3D points.Based on the characteristics of translation,rotation and zoom components of the transformation,the complete solution is divided into three steps.Firstly,positional vectors are regulated with respect to the centroid of sets of points in order to separate the translation component.Secondly,the scale coefficient and rotation matrix are derived from the regulated positions independently and correlations among transformation model parameters are analysed.It is indicated that this method is applicable to other sets of non-position data to separate the respective attributions for transformation parameters.

关 键 词：坐标转换模型 布尔沙模型 标准正交矩阵 奇异值分解 相关性 

分 类 号：P226.3[天文地球—大地测量学与测量工程]