三维坐标变换算法的比较  

Comparison of Three-dimensional Coordinate Transformation Algorithms

作　　者：吕志鹏[1] 伍吉仓[1] 

机构地区：[1]同济大学测绘与地理信息学院,上海市200092

出　　处：《大地测量与地球动力学》2016年第1期35-39,共5页Journal of Geodesy and Geodynamics

基　　金：国家重点基础研究发展计划(2013CB733304);国家国际科技合作专项(2010DFB20190);国家自然科学基金(41074019)~~

摘　　要：通过模拟数据,从计算精度、稳定性、计算效率、左右手坐标系之间变换的适用性等4个方面比较三维坐标变换的迭代法和解析法。结果表明,迭代法中的正交矩阵形式计算精度最高,各种算法对退化到平面上的对应点集均具有适应性,解析法中的单位四元数法计算效率最高,迭代法中的正交矩阵形式以及解析法中的SVD分解法和正交矩阵解法都能够用于左右手坐标系之间的变换。In this paper, we compare three-dimensional coordinate transformation algorithms for calcu- lation accuracy, stability, calculation efficiency, and applicability of transformation between left-hand and right-hand coordinate systems. We simulate the corresponding point sets with pseudo-noise and degenerate the same plane to compare various algorithms. Experiment results show that the orthogo- nal matrix form belonging to the iterative method has the most optimal precision, various algorithms may be adapted to corresponding point sets degenerating to the same plane, the unit quaternion meth- od belonging to the analytical method has the highest calculation efficiency, and the orthogonal matrix form belonging to the iterative method and the SVD decomposition and orthogonal matrix method be- longing to the analytical method can be used to transform coordinates between the left-hand and right- hand coordinate systems.

关 键 词：三维坐标变换 解析法 迭代法 精度 稳定性 计算效率 左右手坐标系 

分 类 号：P226[天文地球—大地测量学与测量工程]