刘春阳,刘超

• 1:安徽理工大学测绘学院

摘要(Abstract)：

针对传统的三维坐标转换模型局限于求解小旋转角的三维坐标转换参数的缺点,以及没有同时顾及观测向量和系数矩阵的随机误差,该文提出了一种新的三维坐标转换参数求解模型。基于非线性Gauss-Helmert模型,建立了三维坐标转换的Bursa-Wolf模型,采用Newton-Gauss迭代算法,构建了加权整体最小二乘问题的拉格朗日函数,并给出了该算法的具体推导过程及其精度评定公式。实测数据和仿真数据结果表明:新算法在无须假设条件的前提下,可以获得任意旋转角下的坐标转换参数,且待估参数数目大大降低,易于程序实现。

关键词(KeyWords)： 三维坐标转换;Gauss-Helmert模型;整体最小二乘;Bursa-Wolf模型

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金项目(41404004);; 中国博士后科学基金项目(2014M551790);; 安徽理工大学科研启动基金项目(11152)

作者(Author): 刘春阳,刘超

DOI: 10.16251/j.cnki.1009-2307.2017.05.020

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