摘要
针对三维空间坐标转换模型的参数求解问题,引入四元数构造旋转矩阵,证明了坐标转换旋转矩阵等价于四元数的正交变换,并利用单位四元数理论推导了一种直接进行空间坐标转换的算法。通过模拟数据进行仿真实验表明,该算法无需线性化,计算简便,且适用于任意旋转角度的坐标转换。
In this paper, to solve the parameter of the three-dimensional spatial coordinate transformation model, quaternion is introduced to construct a rotation matrix. This paper proves that the coordinate transformation rotation matrix is equivalent to the orthogonal transformation of quaternion. Using unit quaternion theory derivates a direct algorithm for solving spatial coordinate transformations. A simulation test using analogue data and numerical examples show that the method is feasible and simple, does need not linearization, and can adapt to arbitrary rotation angle rotation transformations.
出处
《大地测量与地球动力学》
CSCD
北大核心
2017年第1期81-85,共5页
Journal of Geodesy and Geodynamics
基金
国家自然科学基金(41202245
41272373)
河南理工大学骨干教师项目(72105/090)~~
关键词
坐标转换
旋转矩阵
正交变换
单位四元数
coordinate transformation
rotation matrix
orthogonal transformation
unit quaternion
