AIR Tools — A MATLAB package of algebraic iterative reconstruction methods
Publication type: Journal Article
Publication date: 2012-02-01
scimago Q2
wos Q1
SJR: 0.688
CiteScore: 4.8
Impact factor: 2.6
ISSN: 03770427, 0771050X
Computational Mathematics
Applied Mathematics
Abstract
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.
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249
Total citations:
249
Citations from 2024:
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(11.65%)
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GOST
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Hansen P. C., Saxild Hansen M. AIR Tools — A MATLAB package of algebraic iterative reconstruction methods // Journal of Computational and Applied Mathematics. 2012. Vol. 236. No. 8. pp. 2167-2178.
GOST all authors (up to 50)
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Hansen P. C., Saxild Hansen M. AIR Tools — A MATLAB package of algebraic iterative reconstruction methods // Journal of Computational and Applied Mathematics. 2012. Vol. 236. No. 8. pp. 2167-2178.
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RIS
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TY - JOUR
DO - 10.1016/j.cam.2011.09.039
UR - https://doi.org/10.1016/j.cam.2011.09.039
TI - AIR Tools — A MATLAB package of algebraic iterative reconstruction methods
T2 - Journal of Computational and Applied Mathematics
AU - Hansen, Per Christian
AU - Saxild Hansen, Maria
PY - 2012
DA - 2012/02/01
PB - Elsevier
SP - 2167-2178
IS - 8
VL - 236
SN - 0377-0427
SN - 0771-050X
ER -
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BibTex (up to 50 authors)
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@article{2012_Hansen,
author = {Per Christian Hansen and Maria Saxild Hansen},
title = {AIR Tools — A MATLAB package of algebraic iterative reconstruction methods},
journal = {Journal of Computational and Applied Mathematics},
year = {2012},
volume = {236},
publisher = {Elsevier},
month = {feb},
url = {https://doi.org/10.1016/j.cam.2011.09.039},
number = {8},
pages = {2167--2178},
doi = {10.1016/j.cam.2011.09.039}
}
Cite this
MLA
Copy
Hansen, Per Christian, and Maria Saxild Hansen. “AIR Tools — A MATLAB package of algebraic iterative reconstruction methods.” Journal of Computational and Applied Mathematics, vol. 236, no. 8, Feb. 2012, pp. 2167-2178. https://doi.org/10.1016/j.cam.2011.09.039.