An analytical formula for ring artefact suppression in X-ray tomography

Sofya Titarenko; Philip J. Withers; Anatoly Yagola

doi:10.1016/j.aml.2010.08.022

An analytical formula for ring artefact suppression in X-ray tomography

Sofya Titarenko, Philip J. Withers, Anatoly Yagola

Research output: Contribution to journal › Article › peer-review

46 Citations (Scopus)

Abstract

A method of ring artefact suppression in X-ray computerised tomography (CT) reconstructions is proposed. The method is based on the assumption that a sinogram is a smooth function along the horizontal spatial coordinate. Methods based on the theory of ill-posed problems are applied to find a regularised solution. An analytical formula for the solution is proposed allowing fast ring artefact suppression. Its performance is demonstrated for parallel beam synchrotron X-ray tomography.

Original language	English
Pages (from-to)	1489-1495
Number of pages	7
Journal	Applied Mathematics Letters
Volume	23
Issue number	12
Early online date	8 Aug 2010
DOIs	https://doi.org/10.1016/j.aml.2010.08.022
Publication status	Published - 1 Dec 2010
Externally published	Yes

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AU - Yagola, Anatoly

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N2 - A method of ring artefact suppression in X-ray computerised tomography (CT) reconstructions is proposed. The method is based on the assumption that a sinogram is a smooth function along the horizontal spatial coordinate. Methods based on the theory of ill-posed problems are applied to find a regularised solution. An analytical formula for the solution is proposed allowing fast ring artefact suppression. Its performance is demonstrated for parallel beam synchrotron X-ray tomography.

AB - A method of ring artefact suppression in X-ray computerised tomography (CT) reconstructions is proposed. The method is based on the assumption that a sinogram is a smooth function along the horizontal spatial coordinate. Methods based on the theory of ill-posed problems are applied to find a regularised solution. An analytical formula for the solution is proposed allowing fast ring artefact suppression. Its performance is demonstrated for parallel beam synchrotron X-ray tomography.

KW - Image processing

KW - Inverse problems

KW - Matrices

KW - Optimisation methods

KW - X-ray tomography

UR - https://www.scopus.com/pages/publications/77957918891

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

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An analytical formula for ring artefact suppression in X-ray tomography

Abstract

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