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Numerical methods and programming, 2003, Volume 4, Issue 1, Pages 244–253
(Mi vmp720)
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An iterative algorithm for two-dimensional tomographic reconstruction
based on wavelet filtration
V. V. Pickalov, A. V. Nepomnyashchiy Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Abstract:
In this study, we consider a modification of the iterative algorithm based
on Neumann series and wavelet filtration at each step. Numerical simulation
showed that a better reconstruction quality can be achieved in the few-view
tomography problem by our new algorithm compared to the Gerchberg–Papoulis,
maximum entropy and filtered backprojection algorithms. This conclusion was
obtained both for smooth models and for stepwise ones.
Keywords:
computer tomography, wavelet filtration, iterative algorithms, Neumann series, mathematical simulation.
Citation:
V. V. Pickalov, A. V. Nepomnyashchiy, “An iterative algorithm for two-dimensional tomographic reconstruction
based on wavelet filtration”, Num. Meth. Prog., 4:1 (2003), 244–253
Linking options:
https://www.mathnet.ru/eng/vmp720 https://www.mathnet.ru/eng/vmp/v4/i1/p244
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| Statistics & downloads: |
| Abstract page: | 177 | | Full-text PDF : | 84 | | References: | 3 |
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