| 卫星遥感影像有理函数模型优化方法 |
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| 引用本文： | 张永军,王蕾,鲁一慧.卫星遥感影像有理函数模型优化方法[J].测绘学报,2011,40(6):756-761. |
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| 作者姓名： | 张永军 王蕾 鲁一慧 |
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| 作者单位： | 1. 武汉大学遥感信息工程学院;2. 武汉大学; |
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| 基金项目： | 国家自然科学基金(41071233;40671157) |
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| 摘 要： | 针对高分辨率遥感影像有理函数模型（RFM）在实际应用中存在过度参数化和定位精度不高的问题，提出基于离差阵和消去变换及残余系统误差补偿的高分辨率遥感影像RFM优化方法。试验结果表明，经过参数筛选后的RFM参数均为无偏估计值，拟合精度可以达到全部参数用于拟合时的精度，而且模型病态性基本消除，模型稳定性更高；残余系统误差补偿方法可以有效消除RFM拟合严格成像模型的残余误差，达到与严格成像模型一致的对地定位精度。
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| 关 键 词： | 高分辨率卫星影像 有理函数模型 离差阵 消去变换 病态问题 残余系统误差 |
| 收稿时间： | 2010-07-09 |
| 修稿时间： | 2011-04-27 |
Optimization of the Rational Function Model of Satellite Imagery |
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| ZHANG Yongjun,WANG Lei,LU Yihui.Optimization of the Rational Function Model of Satellite Imagery[J].Acta Geodaetica et Cartographica Sinica,2011,40(6):756-761. |
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| Authors: | ZHANG Yongjun WANG Lei LU Yihui |
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| Institution: | 1.School of Remote Sensing and Information Engineering,Wuhan University,Wuhan 430079,China;2.The Third Surveying and Mapping Institute of Sichuan Surveying and Mapping Bureau,Chengdu 610500,China |
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| Abstract: | To solve the problems of over-parameterization and low geo-referencing accuracy of rational function model(RFM),a novel method of parameter optimization based on scatter matrix and elimination transformation and a new method of remnant systematic error compensation without ground control points are proposed.The proposed parameter optimization method can resolve the ill-posed problem of RFM by rejecting all excess parameters.The systematic error compensation method introduces a new correction model with Fourier coefficients.Experimental results indicate that the performance of the proposed method with less parameters is equal to that of the conventional model with all of the 78 parameters.Moreover,the ill-posed problem is effectively eliminated and thus the stabilities of estimated parameters are improved.The systematic error compensation scheme significantly eliminates the remnant systematic error of RFM and improves the geo-referencing accuracy. |
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| Keywords: | high-resolution satellite imagery rational function model scatter matrix elimination transformation ill-posed problem remnant systematic error |
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