一种粒子群算法求解最优抵偿投影面的方法

Study on calculating compensating projecting plane using PSO method

为了更加有效地控制在建立高斯平面直角坐标系时产生的实测边长投影变形,该文研究利用粒子群非线性算法在有限维度的解空间内,动态、自适应地求解抵偿投影面参数的方法。结果表明:采用粒子群算法得到的抵偿投影面结果不但满足ym不同取值时投影变形的限差要求,同时相应的投影变形量绝对值均小于经典算法给出的结果。在控制实测边长投影变形时,该方法具有同时满足快速收敛与遍历解空间全部潜在解的优势。

In order to more effectively control the projection deformation of the measured length in establishing the Gaussian plane rectangular coordinate system,a research on using PSO nonlinear inversion algorithm to calculate the projection parameter within a limited dimensions of the solution space dynamically and adaptively was carried out in the paper.Result showed that the projection parameter generated by the method could meet the projection distortion tolerance of different ym,and its absolute value would be less than the results of classical algorithm.Moreover,when controlling the projection deformation,this method could have the advantages of fast convergence and traverse the entire solution space of potential solutions.