| 抗差LM算法求解遥感影像严格物理模型 |
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| 引用本文： | 陈朋山,焦伟利,贾秀鹏,王威.抗差LM算法求解遥感影像严格物理模型[J].科学技术与工程,2009,9(16). |
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| 作者姓名： | 陈朋山 焦伟利 贾秀鹏 王威 |
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| 作者单位： | 1. 中国科学院对地观测与数字地球科学中心,北京,100086;中国科学院研究生院,北京,100039
2. 中国科学院对地观测与数字地球科学中心,北京,100086 |
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| 基金项目： | 国家高技术研究发展计划(863计划) |
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| 摘 要： | Levenberg-Marquardt(LM)算法是一种求解非线性模型的数值算法,已成功地应用于最小二乘曲线拟合和非线性最优化中.LM算法能克服Hessian矩阵病态对解的影响,但是不能抵抗输入样本中粗差的干扰.为消除粗差对求解模型的影响,将等价权思想应用于LM算法中,对LM算法中的样本添加权重,得到抗差LM算法.通过其在Landsat5和SPOT5几何校正模型中应用,验证了该算法具有良好的抗差性,可以解决遥感图像校正模型解算过程中粗差的影响问题.
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| 关 键 词： | 严格物理模型 LM算法 抗差 权函数 粗差 |
Robust LM Algorithm and It's Application on Regious Physical Model |
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| CHEN Peng-shan,JIAO Wei-li,JIA Xiu-peng,WANG Wei.Robust LM Algorithm and It''s Application on Regious Physical Model[J].Science Technology and Engineering,2009,9(16). |
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| Authors: | CHEN Peng-shan JIAO Wei-li JIA Xiu-peng WANG Wei |
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| Institution: | Center for Earth Observation and Digital Earth Chinese Academy of Sciences1;Beijing 100086;P.R.China;Graduate University of Chinese Academy of Sciences2;Beijing 100039;P.R.China |
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| Abstract: | Levenberg-Marquardt (LM) algorithm provides a numerical solution to the problem of minimizing a function,generally nonlinear,over a space of parameters of the function. It now has been widely used in many fields for solving generic curve-fitting problems. LM can be thought of as a combination of steepest descent and the Gauss-Newton method. Compared with Gauss-Newton method,it is more robust because it can overcome the obstacle of ill-conditioned normal equations. Nevertheless,the solution will deviate from... |
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| Keywords: | regious physical model LM algorithm robust weight function gross error |
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