摘要
提出了一种基于改进的高斯-牛顿法的非线性空间三维直角坐标转换的方法。该方法解决了传统空间三维直角坐标转换中采用的线性模型不适合大旋转角的难题,具有计算简便、收敛速度快、不依赖7个坐标转换参数初值、便于程序实现等特点。最后通过模拟算例验证了该方法的正确性。
This paper puts forward a method for nonlinear 3D rectangular coordinate transformation based on improved Guass-Newton method. It resolves the problems that the conventional linear model is unsuitable for largerotation-angle 3D coordinate transformation. This method has many characteristics, such as calculating simply, converging rapidly, relying less on the initial values of 7 transformational parameters, facilitating program realization. A simulation example proves its validity finally.
出处
《大地测量与地球动力学》
CSCD
北大核心
2007年第1期50-54,共5页
Journal of Geodesy and Geodynamics
基金
国家重点基础研究发展计划(973计划)(2003CB716705)
欧盟国际合作基金(EVGI-CT-2002-00061)
关键词
改进的高斯-牛顿法
非线性空间三维直角坐标
大旋转角
目标函数
转换参数初值
improved Guass-Newton method, nonlinear spatial three-dimensional rectangular coordinate, large rotation angle, objective function, initial values of transformational parameters
