AIR Tools - A MATLAB Package of Algebraic Iterative Reconstruction Techniques : Version 1.0 for Matlab 7.8
Publication: Research › Report – Annual report year: 2010
This collection of MATLAB software contains 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 “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. The corresponding manuscript is: • P. C. Hansen and M. Saxild-Hansen, AIR Tools – A MATLAB Package of Algebraic Iterative Reconstruction Techniques, submitted to Journal of Computational and Applied Mathematics.
|Place of publication||Kgs. Lyngby, Denmark|
|Publisher||DTU Informatics, Building 321|
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