Bursa非线性转换模型7参数的粒子群解法  

RESEARCH ON BURSA NONLINEAR 7-PARAMETER TRANSFORMATION WITH PSO ALGORITHM

作　　者：杨星 朱大栋 赵钢 李志清 

机构地区：[1]江苏省水利科学研究院,南京210017

出　　处：《大地测量与地球动力学》2012年第5期86-90,94,共6页Journal of Geodesy and Geodynamics

基　　金：水利部公益性项目(201001070)

摘　　要：针对Bursa非线性转换模型7参数求解中广泛使用的最小二乘法存在的非线性方程矩阵病态问题、初值选取困难问题以及求解收敛性等问题,提出了一种Bursa非线性转换模型7参数求解的粒子群算法。实例证明:该算法计算结果精确度高,且适合于大旋转角。The 7-parameter is the main parameter for space coordinate transformation,and the minor error of 7-parameter could lead to large coordinate conversion deviances.In order to improve the computational accuracy of 7-parameter,a mathematical model of Bursa 7-parameter analysis based on the partical swarm optimization（PSO） algorithm was established.Compared with a least square method,the model can avoid effectively the matrix＇s morbidity problem,difficulty of selecting initial values,the convergence of algorithm.Finally,the practical application shows that the model has many advantages such as high accuracy and can be adapted large rotation angle.

关 键 词：BURSA模型 7参数 非线性转换 粒子群算法 空间坐标 

分 类 号：P207[天文地球—测绘科学与技术]