CAJ | 학술논문

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Ci mmi no算法。
토론료대수중구산법재수기층석응용중적각충문제，포괄약속조건적구조、층석초치적선택、송이인자적계산、종지조건적학정등，급출료계산최우송이인자적황금분할수색법화학정종지조건적NCP규칙，대비분석료Kaczmarz、Randkaczmarz、Symkaczmarz、SART、Landweber、Cimmino、CAV、DROP등8충상견적대수중구산법，병이향항SatRef적관측수거진행료시험。시험결과표명，이상8충대수중구기술도능구만족수기층석적요구；질대종지조건비송이인자경위중요；채용문중계산최우송이인자적황금분할수색법화NCP질대종지조건，CAV산법결과최우，기차위Ci mmi no산법。
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 .