Ionospheric‐thermospheric UV tomography: 1. Image space reconstruction algorithms
Ionospheric‐thermospheric UV tomography: 1. Image space reconstruction algorithms
复制标题
电离层-热层紫外层析成像：1.像空间重建算法
DOI：
10.1002/2015rs005869
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发表时间：
2017
期刊：
影响因子：
1.6
通讯作者：
M. Hei
中科院分区：
文献类型：
--
作者：
K. Dymond;S. Budzien;M. Hei
我们提出并讨论了两种算法的类称为图像空间重建算法（ISRA），我们正在应用到大规模电离层层析成像问题的解决方案。ISRA有几个理想的功能，使他们有用的电离层层析成像。除了产生非负解之外，ISRA还适用于稀疏矩阵公式，并且快速，稳定和鲁棒。我们提出了我们的研究结果的两种类型的ISRA：最小二乘正定和Richardson-Lucy算法。我们比较他们的性能乘法代数重建和共轭梯度最小二乘算法。然后，我们讨论了这些算法中使用的正则化，并提出了我们的新方法的基础上正则化的偏微分方程。
We present and discuss two algorithms of the class known as Image Space Reconstruction Algorithms (ISRAs) that we are applying to the solution of large‐scale ionospheric tomography problems. ISRAs have several desirable features that make them useful for ionospheric tomography. In addition to producing nonnegative solutions, ISRAs are amenable to sparse‐matrix formulations and are fast, stable, and robust. We present the results of our studies of two types of ISRA: the Least Squares Positive Definite and the Richardson‐Lucy algorithms. We compare their performance to the Multiplicative Algebraic Reconstruction and Conjugate Gradient Least Squares algorithms. We then discuss the use of regularization in these algorithms and present our new approach based on regularization to a partial differential equation.