基于PSO和LM算法的坐标转换新方法

A New Method of Coordinate Transformation Based on PSO and LM

3维坐标的转换精度与坐标转换参数的解算精度密切相关,在不同区域的坐标转换参数不完全相同,为了提高测量的精度,就必须求出适合本地区的坐标转换参数,以提高坐标转换的精度。本文直接从坐标转换的非线性方程出发,根据最优化问题的极值条件,研究采用基于微粒群优化(PSO)和拉凡格氏(LM)组合算法求解3维坐标转换参数。结果表明,该方法具有简单性、高效性和普适性,适合测量中3维坐标的转换解算。

The accuracy of 3D coordinate transformation is closely related to the calculation accuracy of coordinate transformation parameters.The coordinate transformation parameters are not identical in different regions.In order to improve the measurement accuracy,it is necessary to calculate the coordinate transformation parameters of the regions to improve the accuracy of coordinate transformation.According to extreme conditions of optimization problems,the paper uses PSO and LM algorithms to solve nonlinear equations of coordinate transformation parameters.The results show that the method is simple,efficient and universal and is suitable for calculating the 3D coordinate transformation of measurement.