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Numerical methods and programming, 2003, Volume 4, Issue 1, Pages 244–253 (Mi vmp720)  

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.
UDC: 519.633.9
Language: Russian
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
Citation in format AMSBIB
\Bibitem{PicNep03}
\by V.~V.~Pickalov, A.~V.~Nepomnyashchiy
\paper An iterative algorithm for two-dimensional tomographic reconstruction
based on wavelet filtration
\jour Num. Meth. Prog.
\yr 2003
\vol 4
\issue 1
\pages 244--253
\mathnet{http://mi.mathnet.ru/vmp720}
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  • https://www.mathnet.ru/eng/vmp/v4/i1/p244
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