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一种基于复共线性分析的RPC参数优选法
引用本文:袁修孝,曹金山.一种基于复共线性分析的RPC参数优选法[J].武汉大学学报(信息科学版),2011(6).
作者姓名:袁修孝  曹金山
作者单位:武汉大学遥感信息工程学院;
基金项目:国家973计划资助项目(2006CB701302); 国家创新研究群体科学基金资助项目(40721001)
摘    要:推导了求解有理多项式系数(RPC)的严密误差方程,从分析误差方程设计矩阵列向量间的复共线性着手,提出了一种去相关的RPC参数优选方法。对一景SPOT-5 HRG 1A级影像进行实验,结果表明,当地面控制点稀疏时,通过优选20~30个RPC参数,可以很好地消除参数间的相关性,有效消除有理函数模型(RFM)在地形拟合中出现的振荡现象,可明显提高RPC参数求解和RFM的影像几何处理精度。当地面控制点足够多时,利用此方法优选的RPC参数进行地形拟合的结果与用常规最小二乘法求解的78个RPC参数实施地形拟合的结果完全一致。

关 键 词:有理函数模型  有理多项式系数  复共线性分析  RPC参数选择  精度  

An Optimized Method for Selecting Rational Polynomial Coefficients Based on Multicollinearity Analysis
YUAN Xiuxiao CAO Jinshan.An Optimized Method for Selecting Rational Polynomial Coefficients Based on Multicollinearity Analysis[J].Geomatics and Information Science of Wuhan University,2011(6).
Authors:YUAN Xiuxiao CAO Jinshan
Institution:YUAN Xiuxiao1 CAO Jinshan1(1 School of Remote Sensing and Information Engineering,Wuhan University,129 Luoyu Road,Wuhan 430049,China)
Abstract:In the geometric processing of high-resolution satellite imagery,the general rational function model(RFM) consists of 78 rational polynomial coefficients(RPCs),and the correlation between these coefficients will result in difficulties and accuracy degradation in solving the RPC.The rigorous error equations for solving the RPCs are derived,and an optimized method of selecting the RPCs by analyzing the multicollinearity between column vectors of the design matrix is proposed.A SPOT-5 HRG image in level 1A is ...
Keywords:rational function model  rational polynomial coefficients  multicollinearity analysis  RPC selection  accuracy  
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