Volume 34, Issue 6
Towards Beam Hardening Correction for Polychromatic X-ray CT

Hyoung Suk Park, Hao Gao, Sung Min Lee & Jin Keun Seo

J. Comp. Math., 34 (2016), pp. 671-682.

Published online: 2016-12

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  • Abstract

High-attenuation object-induced streaking and shadow artifacts in computerized tomography (CT) are somewhat connected to the misfit of the X-ray projection data to the range space of the Radon transform. This misfit is mainly due to the beam hardening factor of the projection data which is unavoidable for polychromatic sources. The major difficulty in dealing with the beam hardening-induced streaking and shadow artifacts comes from its highly nonlinear nature depending on geometries of high attenuation objects. In this work, we investigate the mathematical characteristics of those streaking and shadow artifacts from the structure of the projection data. We also proposed a metal artifacts reduction method by incorporating the recent technique of the nonlinear beam-hardening corrector. Numerical simulations show that the proposed method effectively alleviates the streaking artifacts without changing the background images.

  • Keywords

Computed tomography Metal artifact reduction Beam hardening Radon transform

  • AMS Subject Headings

65N38 65N30.

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

jiro7733@yonsei.ac.kr (Hyoung Suk Park)

hao.gao.2012@gmail.com (Hao Gao)

sungminlee@yonsei.ac.kr (Sung Min Lee)

seoj@yonsei.ac.kr (Jin Keun Seo)

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@Article{JCM-34-671, author = {Park , Hyoung Suk and Gao , Hao and Lee , Sung Min and Seo , Jin Keun }, title = {Towards Beam Hardening Correction for Polychromatic X-ray CT}, journal = {Journal of Computational Mathematics}, year = {2016}, volume = {34}, number = {6}, pages = {671--682}, abstract = { High-attenuation object-induced streaking and shadow artifacts in computerized tomography (CT) are somewhat connected to the misfit of the X-ray projection data to the range space of the Radon transform. This misfit is mainly due to the beam hardening factor of the projection data which is unavoidable for polychromatic sources. The major difficulty in dealing with the beam hardening-induced streaking and shadow artifacts comes from its highly nonlinear nature depending on geometries of high attenuation objects. In this work, we investigate the mathematical characteristics of those streaking and shadow artifacts from the structure of the projection data. We also proposed a metal artifacts reduction method by incorporating the recent technique of the nonlinear beam-hardening corrector. Numerical simulations show that the proposed method effectively alleviates the streaking artifacts without changing the background images.}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1607-m2016-0531}, url = {http://global-sci.org/intro/article_detail/jcm/9819.html} }
TY - JOUR T1 - Towards Beam Hardening Correction for Polychromatic X-ray CT AU - Park , Hyoung Suk AU - Gao , Hao AU - Lee , Sung Min AU - Seo , Jin Keun JO - Journal of Computational Mathematics VL - 6 SP - 671 EP - 682 PY - 2016 DA - 2016/12 SN - 34 DO - http://doi.org/10.4208/jcm.1607-m2016-0531 UR - https://global-sci.org/intro/article_detail/jcm/9819.html KW - Computed tomography KW - Metal artifact reduction KW - Beam hardening KW - Radon transform AB - High-attenuation object-induced streaking and shadow artifacts in computerized tomography (CT) are somewhat connected to the misfit of the X-ray projection data to the range space of the Radon transform. This misfit is mainly due to the beam hardening factor of the projection data which is unavoidable for polychromatic sources. The major difficulty in dealing with the beam hardening-induced streaking and shadow artifacts comes from its highly nonlinear nature depending on geometries of high attenuation objects. In this work, we investigate the mathematical characteristics of those streaking and shadow artifacts from the structure of the projection data. We also proposed a metal artifacts reduction method by incorporating the recent technique of the nonlinear beam-hardening corrector. Numerical simulations show that the proposed method effectively alleviates the streaking artifacts without changing the background images.
Hyoung Suk Park , Hao Gao , Sung Min Lee & Jin Keun Seo . (2020). Towards Beam Hardening Correction for Polychromatic X-ray CT. Journal of Computational Mathematics. 34 (6). 671-682. doi:10.4208/jcm.1607-m2016-0531
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