摘要
本文介绍了坐标转换7参数模型的完整公式,详细推导了其一阶微分公式。实验证明采用高斯牛顿法可有效求解该模型的非线性方程组。最后通过模拟数据和实际工程数据,验证了本文算法的有效性,总结对比了完整公式与简化公式的适用情况及转换精度,得出了完整公式与简化公式的参数不能交叉使用的结论和建议。
This article describes the strict formula of the 3D Helmert model and the first-order differential formula was derived in detail.The experimental proof of the Gauss-Newton method can effectively solve the nonlinear equations of the model.The proposed algorithm was verified using the simulation data and actual project data , and the conversion accuracy.Summarized and compared the complete formula and simplified formulas applicable situation and conversion of accuracy , and draw the conclusions and recommendations of the parameters of strict formula and simplified formula parameters can not be cross-used.
出处
《导航定位学报》
2013年第2期34-37,共4页
Journal of Navigation and Positioning
关键词
7参数完整公式
坐标转换
非线性方程组
strict formula of 3D Helmert Model
coordinate transformation
none-linear formula
