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JOURNALS // Numerical methods and programming // Archive

Num. Meth. Prog., 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



© Steklov Math. Inst. of RAS, 2024