Details

Title

Performance analysis of regularization algorithms used for image reconstruction in computed tomography

Journal title

Bulletin of the Polish Academy of Sciences: Technical Sciences

Yearbook

2013

Numer

No 2 June

Publication authors

Divisions of PAS

Nauki Techniczne

Abstract

Abstract Computed tomography is one of the most significant diagnostic techniques in medicine. This work is focused on hard-field imaging, where signals take a form of straight rays and the reconstructed image can be presented as a matrix with unknown pixels. Algebraic methods for direct computation of the image have not been used in practice because of the scale of the problem and numerical errors appearing in the solution. The aim of this work was to analyse the performance of direct algebraic algorithms for tomographic image reconstruction including regularisation mechanism such as: generalised regularisation, Tikhonov regularisation, Twomey regularisation and ridge regression (RR), as well as comparing the results with the filtered backprojection (FBP) as the reference method. The performed analyses demonstrated that the regularised algebraic methods are more accurate than the commonly used FBP, and RR appeared the most precise among them. Additionally it was shown that the invariant system matrix (inverted during calculations) can be easily determined by solving the forward problem. Finally, potential directions of further research have been pointed out.

Publisher

Polish Academy of Sciences

Date

2013

Identifier

ISSN 0239-7528, eISSN 2300-1917

DOI

10.2478/bpasts-2013-0046

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