大旋转角空间直角坐标转换改进模型研究  

Study on an Improved Model for Ill-Conditioned Three-Dimensional Coordinate Transformation with Big Rotation Angles

作　　者：李明峰[1] 刘支亮 王永明[2] 孙小荣[3] 

机构地区：[1]南京工业大学测绘科学与技术学院,南京市浦珠南路30号211800 [2]武汉大学测绘学院,武汉市珞喻路129号430079 [3]宿迁学院建筑工程学院,宿迁市黄河南路399号223800

出　　处：《大地测量与地球动力学》2017年第5期441-445,共5页Journal of Geodesy and Geodynamics

基　　金：国家自然科学基金(41274009)~~

摘　　要：针对大旋转角三维坐标转换模型法方程系数阵病态的问题,提出中心化和自适应缩放相结合的改进模型。结合算例分析,验证了该模型能显著改善法方程系数矩阵病态性,转换参数结果稳定可靠,优于现有模型。To solve the problem of ill-conditioned normal equation coefficient matrix for big rotation angle＇s three-dimensional coordinate transformation model, an improved model is put forward, based on coordinate centralization combined with adaptive scaling. Through analysis of an example, it is verified that the ill-conditioned normal equation coefficient matrix can effectively be improved with the model, with results that are more reliable than the existing model.

关 键 词：坐标转换 七参数模型 病态性 中心化 自适应缩放 

分 类 号：P226[天文地球—大地测量学与测量工程]