| 带准则参数的平差准则及其统一与解算 |
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| 引用本文： | 朱建军,田玉淼,陶肖静.带准则参数的平差准则及其统一与解算[J].测绘学报,2012,41(1):8-0. |
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| 作者姓名： | 朱建军 田玉淼 陶肖静 |
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| 作者单位： | 1. 中南大学地球科学与信息物理学院;2. 中南大学; |
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| 基金项目： | 国家自然科学基金，湖南省教育厅基金 |
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| 摘 要： | 平差的核心问题是确定准则中的准则参数α,从而确定准则函数相对于平差参数X的极值并进行解算。首先对准则带参数的这些平差准则从形式上进行统一,然后利用虚拟观测,提出一种广泛适用的解算方法。每种带参数的准则模型都可以通过这种方法来确定准则参数和解算结果。最后用正则化方法举例,对比最小二乘和其他解法表明这种方法的可行性和优点。
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| 关 键 词： | 带参数的平差准则 准则参数 虚拟观测法 |
| 收稿时间： | 2010-05-31 |
| 修稿时间： | 2011-07-11 |
United Expression and Solution of Adjustment Criteria with Parameters |
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| ZHU Jianjun,TIAN Yumiao,TAO Xiaojing.United Expression and Solution of Adjustment Criteria with Parameters[J].Acta Geodaetica et Cartographica Sinica,2012,41(1):8-0. |
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| Authors: | ZHU Jianjun TIAN Yumiao TAO Xiaojing |
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| Institution: | 1,2 1.Department of Survey Engineering and Geomatics,Central South University,Changsha 410083,China;2.Key Laboratory of Precise Engineering Surveying & Deformation Hazard Monitoring,Universities of Hunan Province,Changsha 410083,China |
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| Abstract: | The core problem of the concerned survey adjustment is to find appropriate value for the unknown criterion parameter.Until now,there is no united theory to solve this problem.The authors firstly use one expression to unite all adjustment criteria with unknown parameters in form.Then a method with virtual observations is proposed to resolve the united expression.In order to illustrate the feasibility and advantages of this method,an example compared with LS and other methods is presented at last. |
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| Keywords: | criterion parameters adjustment criteria virtual observation method |
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