| 摄影测量中病态问题的条件数指标分析 |
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| 引用本文： | 张永军,吴磊,林立文,赵家平.摄影测量中病态问题的条件数指标分析[J].武汉大学学报(信息科学版),2010(3). |
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| 作者姓名： | 张永军 吴磊 林立文 赵家平 |
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| 作者单位： | 武汉大学遥感信息工程学院; |
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| 基金项目： | 国家自然科学基金资助项目(40671157); 国家863计划资助项目(2006AA12Z136); 国家教育部新世纪优秀人才支持计划资助项目(NCET-07-0645) |
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| 摘 要： | 介绍了评价法方程系数矩阵病态性常用的条件数指标的基本原理,分析了用条件数评价平差系统病态性的不足,并将其归结为3类风险。指出了重新参数化是利用条件数评价病态性的必要前提,并论述了重新参数化改善由数值计算引起的病态问题和避免条件数评价的范数风险,成功地解释了航空摄影后方交会时解算结果的稳定性和条件数指标的矛盾。
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| 关 键 词： | 条件数 病态问题 范数 重新参数化 后方交会 |
Condition Numbers for Evaluation of Ill-Posed Problems in Photogrammetry |
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| ZHANG Yongjun WU Lei LIN Liwen ZHAO Jiaping.Condition Numbers for Evaluation of Ill-Posed Problems in Photogrammetry[J].Geomatics and Information Science of Wuhan University,2010(3). |
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| Authors: | ZHANG Yongjun WU Lei LIN Liwen ZHAO Jiaping |
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| Institution: | ZHANG Yongjun1 WU Lei1 LIN Liwen1 ZHAO Jiaping1(1 School of Remote Sensing , Information Engineering,Wuhan University,129 Luoyu Road,Wuhan 430079,China) |
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| Abstract: | We discuss the principle of condition numbers that used for evaluating the extent of ill-posed problem of normal matrix.There is a contradiction between the stability of solution and the condition number of resection in photogrammetry.We find that it is not suitable in all cases to evaluate the extent of ill-posed problem by condition numbers.Three types of possible risks for evaluation of ill-condition extent with condition numbers were addressed in detail.Removing of outliers and re-parameterization are t... |
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| Keywords: | condition number ill-posed problem norm re-parameterization resection |
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