Algebraic Reconstruction Algorithm of Vapor Tomography

doi:10.11947/j.AGCS.2015.20130308

Acta Geodaetica et Cartographica Sinica ›› 2015, Vol. 44 ›› Issue (1): 32-38.doi: 10.11947/j.AGCS.2015.20130308

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Algebraic Reconstruction Algorithm of Vapor Tomography

HE Lin¹, LIU Lintao², SU Xiaoqing^2,3, XU Chaoqian⁴, DUAN Pengshuo^2,3

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

Received:2013-12-30 Revised:2014-03-31 Online:2015-01-20 Published:2015-01-22
Supported by:
The National Natural Science Foundation of China (Nos. 41074050 41021003)

Abstract

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 from SatRef 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.

Key words: algebraic reconstruction, vapor tomography, GPS meteorology

CLC Number:

P228

HE Lin, LIU Lintao, SU Xiaoqing, XU Chaoqian, DUAN Pengshuo. Algebraic Reconstruction Algorithm of Vapor Tomography[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(1): 32-38.

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Algebraic Reconstruction Algorithm of Vapor Tomography

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