AIR Tools II: algebraic iterative reconstruction methods, improved implementation
AIR Tools II: algebraic iterative reconstruction methods, improved implementation
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DOI：
10.1007/s11075-017-0430-x
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发表时间：
2018-09-01
影响因子：
2.1
通讯作者：
Jorgensen, Jakob Sauer
中科院分区：
文献类型：
--
作者：
Hansen, Per Christian;Jorgensen, Jakob Sauer
我们提出了一个 MATLAB 软件包，该软件包具有高效、稳健且灵活的代数迭代重建 (AIR) 方法实现，用于计算逆问题离散化的正则化解。这些方法在计算机断层扫描和类似问题中特别令人感兴趣，它们很容易适应问题的特定几何形状。我们所有的方法都配备了停止规则以及用于计算良好松弛参数的启发式方法，并且我们还提供了一些断层扫描测试问题。该软件包适用于想要试验代数迭代方法及其收敛特性的用户。当前的软件是 2012 年 AIR Tools 软件包的大幅扩展和改进版本，基于新的模块化设计。除了改进的性能和内存使用之外，我们还提供了更灵活的迭代方法、列操作方法、新的测试问题、新的演示函数，以及（也许最重要的）使用函数句柄而不是（稀疏）矩阵的能力，从而允许处理更大的问题。
We present a MATLAB software package with efficient, robust, and flexible implementations of algebraic iterative reconstruction (AIR) methods for computing regularized solutions to discretizations of inverse problems. These methods are of particular interest in computed tomography and similar problems where they easily adapt to the particular geometry of the problem. All our methods are equipped with stopping rules as well as heuristics for computing a good relaxation parameter, and we also provide several test problems from tomography. The package is intended for users who want to experiment with algebraic iterative methods and their convergence properties. The present software is a much expanded and improved version of the package AIR Tools from 2012, based on a new modular design. In addition to improved performance and memory use, we provide more flexible iterative methods, a column-action method, new test problems, new demo functions, and-perhaps most important-the ability to use function handles instead of (sparse) matrices, allowing larger problems to be handled.