基于同伦方法的非线性测量模型参数估计  

Nonlinear Surveying Model Parameters Estimation Based on Homotopy Arithmetic

作　　者：胡志刚[1,2] 花向红[1,2] 李昭 韩红超[1,2] 

机构地区：[1]武汉大学灾害监测与防治研究中心,武汉市430079 [2]武汉大学测绘学院,武汉市430079

出　　处：《武汉大学学报（信息科学版）》2008年第9期930-933,共4页Geomatics and Information Science of Wuhan University

基　　金：云南省省院省校科技合作计划资助项目(2006YX36);武汉市科技计划资助项目(200760323113)

摘　　要：提出了非线性模型参数稳健估计的同伦算法和带约束非线性模型参数估计的同伦算法,推导了相应的非线性同伦算法的函数模型。算例计算结果表明,所提出的算法对初值要求不高,算法收敛,计算结果精度较好,是非线性测量模型参数估计的一种有效方法。Two new methods for homotopy nonlinear robust estimation method and homotopy restricted-nonlinear method are proposed. Moreover, the corresponding nonlinear functional models for the two methods have also been deduced accurately. Numerical experiment results show that the methods developed have low requirement for the initial value, with fast convergence speed and better precision, which is an effective method in the nonlinear surveying model parameter estimation.

关 键 词：同伦算法 非线性最小二乘 带约束模型 

分 类 号：P207.2[天文地球—测绘科学与技术]