任意旋转角三维空间直角坐标转换的迭代算法  

Iteration Algorithm of 3D Rectangular Coordinate Transformation of Arbitrary Rotation Angle

作　　者：王海城[1,2] 徐进军[1] 王雯涛[2] WANG Haicheng;XUJinjun;WANG Wentao(School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China;Hebei Research Institute of Investigation and Design of Water Conservancy and Hydropower,Tianjin 300250,China)

机构地区：[1]武汉大学测绘学院,湖北武汉430079 [2]河北省水利水电勘测设计研究院,天津300250

出　　处：《测绘地理信息》2019年第1期59-61,共3页Journal of Geomatics

基　　金：国家自然科学基金(41274027)

摘　　要：在传统三维空间直角坐标转换模型的基础上,提出了一种迭代法来求解7参数精密解,不依赖于7参数初始值,适用于任意大小旋转角的空间直角坐标转换,该方法易于编程实现,具有参数计算稳定,收敛速度快等特点,实例和模拟算例验证了该方法的正确性,具有较高的应用价值。Based on traditional three-dimensional rectangular coordinate transformation model,this paper proposes an iterative method calculation precision 7parameters,which is not dependent on the values of initial parameters between the7,but suitable for any size of rotation Angle space rectangular coordinate conversion.This method features programming easy with parameter to calculate stability,fast convergence speed.The accuracy of this method is verified by examples and simulation example,and has higher application value.

关 键 词：空间直角坐标系 任意旋转角 坐标转换 初始值 迭代算法 

分 类 号：P207[天文地球—测绘科学与技术]