空间测边交会解析算法与迭代算法的综合应用

Integration application of space surveying border intersecting analytical arithmetic and iterative arithmetic

本文提出了一种新的三维测边交会解析算法,应用几何判别方法排除多解问题。研究了测边网最稳定解析解的交会图形选择方法,将此解析解作为迭代算法的初值进行迭代计算,不但能保证计算精度,极大加快迭代收敛速度,而且能减少计算机工作量与计算时间,避免迭代算法多值判断问题的同时,保证了迭代初值直接位于收敛域内。试验结果表明,解析算法与迭代算法综合应用算法可高效率,高稳定性求解空间测边交会问题。

In this paper, a new analytic-geometry algorithm is presented, and multiple -solution problem is resolved. Moreover, the method of selecting three observations with best geometric configuration is studied, and the analytical solution can be given by analytic-geometry algorithm. If analytical solution is used as initial value of the iterative algorithm, the calculating accuracy, convergence speed and calculating time can be improved greatly. Test results show that the algorithm in this paper is high-efficient and high-stable.