Journal article
AIR Tools - A MATLAB package of algebraic iterative reconstruction methods
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.
Language: | English |
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Year: | 2012 |
Pages: | 2167-2178 |
ISSN: | 18791778 and 03770427 |
Types: | Journal article |
DOI: | 10.1016/j.cam.2011.09.039 |
ORCIDs: | Hansen, Per Christian |