大角度三维坐标转换参数的一种迭代解法  

An iterative algorithm for solving the transformation parameters of big rotation angle’s 3D coordinate

作　　者：刘磊 何占国 郑作亚 贾传亮 LIU Lei;HE Zhanguo;ZHENG Zuoya;JIA Chuanliang(China RS Geo-informatics Co.,Ltd.,Tianjin 300384,China;ChinaAcademy of Electronic and Information Technology,Beijing 100041,China)

机构地区：[1]中科遥感科技集团有限公司,天津300384 [2]中国电子科学研究院,北京100041

出　　处：《测绘科学》2021年第6期65-69,76,共6页Science of Surveying and Mapping

摘　　要：针对传统的三维坐标转换模型局限于求解小角度的三维坐标转换参数的缺点,该文利用反对称矩阵和罗德里格矩阵的性质,推导了一种迭代计算大角度三维坐标转换参数的方法。该文算法计算公式简单明了,计算过程中避免了复杂的三角函数运算,计算速度快,无需事先知道参数的近似值,易于编程实现。最后通过算例分析验证了该文算法的正确性和有效性。In view of the traditional three-dimensional coordinate transformation models that are limited to solve transformation parameters of three-dimensional coordinate with small rotation angles, a new algorithm was derived in this paper to iteratively calculate the transformation parameters with big rotation angles, which was based on properties of antisymmetric matrix and Rodrigues matrix. The calculation formula in this paper had the advantages of simple formulation, quick calculating speed and easy programing. Analysis of examples had validated the correctness and effectiveness of the algorithm in this paper.

关 键 词：大旋转角 三维坐标转换 反对称矩阵 罗德里格矩阵 迭代法 

分 类 号：P226[天文地球—大地测量学与测量工程]