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Estimating the product of the X-ray spectrum and quantum detection efficiency of a CT system and its application to beam hardening correction

Estimating the product of the X-ray spectrum and quantum detection efficiency of a CT system and its application to beam hardening correction
Estimating the product of the X-ray spectrum and quantum detection efficiency of a CT system and its application to beam hardening correction
Lab-based X-ray computed tomography (XCT) systems use X-ray sources that emit a polychromatic X-ray spectrum and detectors that do not detect all X-ray photons with the same efficiency. A consequence of using a polychromatic X-ray source is that beam hardening artefacts may be present in the reconstructed data, and the presence of such artefacts can degrade XCT image quality and affect quantitative analysis. If the product of the X-ray spectrum and the quantum detection efficiency (QDE) of the detector are known, alongside the material of the scanned object, then beam hardening artefacts can be corrected algorithmically. In this work, a method for estimating the product of the X-ray spectrum and the detector’s QDE is offered. The method approximates the product of the X-ray spectrum and the QDE as a Bézier curve, which requires only eight fitting parameters to be estimated. It is shown experimentally and through simulation that Bézier curves can be used to accurately simulate polychromatic attenuation and hence be used to correct beam hardening artefacts. The proposed method is tested using measured attenuation data and then used to calculate a beam hardening correction for an aluminium workpiece; the beam hardening correction leads to an increase in the contrast-to-noise ratio of the XCT data by 41% and the removal of cupping artefacts. Deriving beam hardening corrections in this manner is more versatile than using conventional material-specific step wedges.
1424-8220
Lifton, Joseph L.
9be501ec-2742-4ab6-8a5a-996c5b7c23ae
Malcolm, Andrew A.
4219e6dc-66a8-4c5c-87ef-3ed1b46d5617
Lifton, Joseph L.
9be501ec-2742-4ab6-8a5a-996c5b7c23ae
Malcolm, Andrew A.
4219e6dc-66a8-4c5c-87ef-3ed1b46d5617

Lifton, Joseph L. and Malcolm, Andrew A. (2021) Estimating the product of the X-ray spectrum and quantum detection efficiency of a CT system and its application to beam hardening correction. Sensors, 21 (9), [3284]. (doi:10.3390/s21093284).

Record type: Article

Abstract

Lab-based X-ray computed tomography (XCT) systems use X-ray sources that emit a polychromatic X-ray spectrum and detectors that do not detect all X-ray photons with the same efficiency. A consequence of using a polychromatic X-ray source is that beam hardening artefacts may be present in the reconstructed data, and the presence of such artefacts can degrade XCT image quality and affect quantitative analysis. If the product of the X-ray spectrum and the quantum detection efficiency (QDE) of the detector are known, alongside the material of the scanned object, then beam hardening artefacts can be corrected algorithmically. In this work, a method for estimating the product of the X-ray spectrum and the detector’s QDE is offered. The method approximates the product of the X-ray spectrum and the QDE as a Bézier curve, which requires only eight fitting parameters to be estimated. It is shown experimentally and through simulation that Bézier curves can be used to accurately simulate polychromatic attenuation and hence be used to correct beam hardening artefacts. The proposed method is tested using measured attenuation data and then used to calculate a beam hardening correction for an aluminium workpiece; the beam hardening correction leads to an increase in the contrast-to-noise ratio of the XCT data by 41% and the removal of cupping artefacts. Deriving beam hardening corrections in this manner is more versatile than using conventional material-specific step wedges.

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Accepted/In Press date: 5 May 2021
Published date: 10 May 2021

Identifiers

Local EPrints ID: 499577
URI: http://eprints.soton.ac.uk/id/eprint/499577
ISSN: 1424-8220
PURE UUID: 720acd67-4315-4f3e-afef-0145be1728e3
ORCID for Joseph L. Lifton: ORCID iD orcid.org/0000-0002-8716-1055

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Date deposited: 27 Mar 2025 17:33
Last modified: 22 Aug 2025 02:43

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Contributors

Author: Joseph L. Lifton ORCID iD
Author: Andrew A. Malcolm

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