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| Title:
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AIR Tools - A MATLAB Package of Algebraic Iterative Reconstruction Techniques |
| Type:
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ReportReport |
| Participant(s):
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Technical University of Denmark
Email:
Forfatter:
Saxild-Hansen, Maria
Technical University of Denmark
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| Abstract:
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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. |
| Published:
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