AIR Tools - A MATLAB package of algebraic iterative reconstruction methods
AIR Tools - A MATLAB package of algebraic iterative reconstruction methods
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DOI：
10.1016/j.cam.2011.09.039
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发表时间：
2012-02-01
影响因子：
2.4
通讯作者：
Saxild-Hansen, Maria
中科院分区：
文献类型：
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作者：
Hansen, Per Christian;Saxild-Hansen, Maria
我们提出了一个 MATLAB 包，其中实现了几种用于逆问题离散化的代数迭代重建方法。这些所谓的行操作方法依靠半收敛来实现问题的必要正则化。实现了两类方法：代数重建技术 (ART) 和同时迭代重建技术 (SIRT)。此外，我们还提供了一些来自医学和地震断层扫描的简化测试问题。对于每种迭代方法，有多种策略可用于选择松弛参数和停止规则。松弛参数可以是固定的，也可以在每次迭代中自适应选择：在前一种情况下，我们提供了一种新的“训练”算法，可以找到给定测试问题的最佳参数。提供的停止规则是差异原则、单调误差规则和NCP准则：对于前两种方法，可以使用“训练”来找到最佳差异参数。 (C) 2011 Elsevier B.V. 保留所有权利。
We present a MATLAB package with implementations of several algebraic iterative reconstruction methods for discretizations of inverse problems. These so-called row action methods rely on semi-convergence for achieving the necessary regularization of the problem. Two classes of methods are implemented: Algebraic Reconstruction Techniques (ART) and Simultaneous Iterative Reconstruction Techniques (SIRT). In addition we provide a few simplified test problems from medical and seismic tomography. For each iterative method, a number of strategies are available for choosing the relaxation parameter and the stopping rule. The relaxation parameter can be fixed, or chosen adaptively in each iteration: in the former case we provide a new "training" algorithm that finds the optimal parameter for a given test problem. The stopping rules provided are the discrepancy principle, the monotone error rule, and the NCP criterion: for the first two methods "training" can be used to find the optimal discrepancy parameter. (C) 2011 Elsevier B.V. All rights reserved.