| 水汽层析代数重构算法 |
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| 引用本文： | 何林,柳林涛,苏晓庆,许超钤,段鹏硕.水汽层析代数重构算法[J].测绘学报,2015,44(1):32-38. |
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| 作者姓名： | 何林 柳林涛 苏晓庆 许超钤 段鹏硕 |
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| 作者单位： | 1. 贵州电力设计研究院, 贵州 贵阳 550000;2. 中国科学院测量与地球物理研究所, 湖北 武汉 430077;3. 中国科学院大学, 北京 100049;4. 武汉大学测绘学院, 湖北 武汉 430079 |
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| 基金项目： | 国家自然科学基金(41074050；41021003)Foundation supportThe National Natural Science Foundation of China |
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| 摘 要： | 讨论了代数重构算法在水汽层析应用中的各种问题,包括约束条件的构造、层析初值的选择、松弛因子的计算、终止条件的确定等,给出了计算最优松弛因子的黄金分割搜索法和确定终止条件的NCP规则,对比分析了Kaczmarz、Randkaczmarz、Symkaczmarz、SART、Landweber、Cimmino、CAV、DROP等8种常见的代数重构算法,并以香港SatRef的观测数据进行了试验。试验结果表明,以上8种代数重构技术都能够满足水汽层析的要求;迭代终止条件比松弛因子更为重要;采用文中计算最优松弛因子的黄金分割搜索法和NCP迭代终止条件,CAV算法结果最优,其次为Cimmino算法。
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| 关 键 词： | 代数重构 水汽层析 GPS气象学 |
| 收稿时间： | 2013-12-30 |
| 修稿时间： | 2014-03-31 |
Al gebr ai c Reconstructi on Al gori thm of V apor Tomogr aphy |
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| HE Lin,LIU Lintao,SU Xi aoqing,XU Chaoqi an,DUAN Pengshuo.Al gebr ai c Reconstructi on Al gori thm of V apor Tomogr aphy[J].Acta Geodaetica et Cartographica Sinica,2015,44(1):32-38. |
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| Authors: | HE Lin LIU Lintao SU Xi aoqing XU Chaoqi an DUAN Pengshuo |
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| Institution: | 1. Guizhou Electric Power Design Institute, Guiyang 550000, China;2. Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077, China;3. University of Chinese Academy of Sciences, Beijing 100049, China;4. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China |
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| Abstract: | While applying algebraic reconstruction algorithm in vapor tomography ,problems have to be solved with respect to constructing the constraint condition ,selecting the initial value ,calculating optimal relaxation factor and deciding the iteration termination condition .Golden section search method and NCP termination rule are given to solve the latter two problems ,respectively .Eight algebraic reconstruction algorithms ,including Kaczmarz ,Randkaczmarz ,Symkaczmarz ,SART ,Landweber ,Cimmino ,CAV and DROP algorithm ,are comparatively analyzed and tested by the data fromSatRef station in Hong Kong .The results show that all the eight algorithms can satisfy the requirements of vapor tomography and the iteration termination condition is more important than the relaxation condition .While the golden section method and NCP method are used ,the CAV algorithm performs best ,and then the Cimmino algorithm . |
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| Keywords: | algebraic reconstruction vapor tomography GPS meteorology |
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