Computed tomographic beam-hardening artefacts

Mathematical characterization and analysis

Hyoung Suk Park, Yong Eun Chung, Jin Keun Seo

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

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
Volume373
Issue number2043
DOIs
Publication statusPublished - 2015 Jun 13

Fingerprint

Hardening
hardening
Tomography
artifacts
Computed Tomography
Radon
Radon Transform
Mathematical Analysis
Attenuation
X rays
applications of mathematics
tomography
Metals
Radiography
Prosthetics
radon
X-ray Tomography
Electron energy levels
Data structures
Implant

All Science Journal Classification (ASJC) codes

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

Cite this

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Computed tomographic beam-hardening artefacts : Mathematical characterization and analysis. / Park, Hyoung Suk; Chung, Yong Eun; Seo, Jin Keun.

In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 373, No. 2043, 20140388, 13.06.2015.

Research output: Contribution to journalArticle

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