Computed tomographic beam-hardening artefacts: Mathematical characterization and analysis

Hyoung Suk Park, Yong Eun Chung, Jin Keun Seo

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)


This paper presents a mathematical characterization and analysis of beam-hardening artefacts in X-ray computed tomography (CT). In the field of dental and medical radiography, metal artefact reduction in CT is becoming increasingly important as artificial prostheses and metallic implants become more widespread in ageing populations. Metal artefacts are mainly caused by the beam-hardening of polychromatic X-ray photon beams, which causes mismatch between the actual sinogram data and the data model being the Radon transform of the unknown attenuation distribution in the CT reconstruction algorithm. We investigate the beamhardening factor through a mathematical analysis of the discrepancy between the data and the Radon transform of the attenuation distribution at a fixed energy level. Separation of cupping artefacts from beam-hardening artefacts allows causes and effects of streaking artefacts to be analysed. Various computer simulations and experiments are performed to support our mathematical analysis.

Original languageEnglish
Article number20140388
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2043
Publication statusPublished - 2015 Jun 13

Bibliographical note

Publisher Copyright:
© 2015 The Author(s) Published by the Royal Society. All rights reserved.

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)


Dive into the research topics of 'Computed tomographic beam-hardening artefacts: Mathematical characterization and analysis'. Together they form a unique fingerprint.

Cite this